[4] The specific heats here given refer to different limits of

temperature, but in the majority of cases between 0° and 100°; only

in the case of bromine the specific heat is taken (for the solid

state) at a temperature below -7°, according to Regnault's

determination. _The variation of the specific heat with a change of

temperature_ is a very complex phenomenon, the consideration of

which I think would here be out of place. I will only cite a few

figures as an example. According to Bystrom, the specific heat of

iron at 0° = 0·1116, at 100° = 0·1114, at 200° = 0·1188, at 300° =

0·1267, and at 1,400° = 0·4031. Between these last limits of

temperature a change takes place in iron (a spontaneous heating,

_recalescence_), as we shall see in Chapter XXII. For quartz

SiO_{2} Pionchon gives Q = 0·1737 + 394_t_10^{-6}-27_t_^{2}10^{-9}

up to 400°, for metallic aluminium (Richards, 1892) at 0° 0·222, at

20° 0·224, at 100° 0·232; consequently, as a rule, the specific

heat varies slightly with the temperature. Still more remarkable

are H. E. Weber's observations on the great variation of the

specific heat of charcoal, the diamond and boron:

0° 100° 200° 600° 900°

Wood charcoal 0·15 0·23 0·29 0·44 0·46

Diamond 0·10 0·19 0·22 0·44 0·45

Boron 0·22 0·29 0·35 -- --

These determinations, which have been verified by Dewar, Le

Chatelier (Chapter VIII., Note 13), Moissan, and Gauthier, the

latter finding for boron AQ = 6 at 400°, are of especial importance

as confirming the universality of Dulong and Petit's law, because

the elements mentioned above form exceptions to the general rule

when the mean specific heat is taken for temperatures between 0°

and 100°. Thus in the case of the diamond the product of A × Q at

0° = 1·2, and for boron = 2·4. But if we take the specific heat

towards which there is evidently a tendency with a rise of

temperature, we obtain a product approaching to 6 as with other

elements. Thus with the diamond and charcoal, it is evident that

the specific heat tends towards 0·47, which multiplied by 12 gives

5·6, the same as for magnesium and aluminium. I may here direct the

reader's attention to the fact that for solid elements having a

small atomic weight, the specific heat varies considerably if we

take the average figures for temperatures 0° to 100°:

Li = 7 Be = 9 B = 11 C = 12

Q = 0·94 0·42 0·24 0·20

AQ = 6·6 3·8 2·6 2·4

It is therefore clear that the specific heat of beryllium

determined at a low temperature cannot serve for establishing its

atomicity. On the other hand, the low atomic heat of charcoal,

graphite, and the diamond, boron, &c., may perhaps depend on the

complexity of the molecules of these elements. The necessity for

acknowledging a great complexity of the molecules of carbon was

explained in Chapter VIII. In the case of sulphur the molecule

contains at least S_{6} and its atomic heat = 32 × 0·163 = 5·22,

which is distinctly below the normal. If a large number of atoms of

carbon are contained in the molecule of charcoal, this would to a

certain extent account for its comparatively small atomic heat.

With respect to the specific heat of compounds, it will not be out

of place to mention here the conclusion arrived at by Kopp, that

the molecular heat (that is, the product of MQ) may be looked on as

the sum of the atomic heats of its component elements; but as this

rule is not a general one, and can only be applied to give an

approximate estimate of the specific heats of substances, I do not

think it necessary to go into the details of the conclusions

described in Liebig's 'Annalen Supplement-Band,' 1864, which

includes a number of determinations made by Kopp.

It is seen from this that the product of the specific heat of the element

into the atomic weight is an almost constant quantity, which is nearly 6.

Hence it is possible to determine the valency by the specific heats of

the metals. Thus, for instance, the specific heats of lithium, sodium,

and potassium convince us of the fact that their atomic weights are

indeed those which we chose, because by multiplying the specific heats

found by experiment by the corresponding atomic weights we obtain the

following figures: Li, 6·59, Na, 6·75 and K, 6·47. Of the alkaline earth

metals the specific heats have been determined: of magnesium = 0·245

(Regnault and Kopp), of calcium = 0·170 (Bunsen), and of barium = 0·05

(Mendeléeff). If the same composition be ascribed to the compounds of

magnesium as to the corresponding compounds of potassium, then the

equivalent of magnesium will be equal to 12. On multiplying this atomic

weight by the specific heat of magnesium, we obtain a figure 2·94, which

is half that which is given by the other solid elements and therefore the

atomic weight of magnesium must be taken as equal to 24 and not to 12.

Then the atomic heat of magnesium = 24 × 0·245 = 5·9; for calcium, giving

its compounds a composition CaX_{2}--for example CaCl_{2}, CaSO_{4}, CaO

(Ca = 40)--we obtain an atomic heat = 40 × 0·17 = 6·8, and for barium it

is equal to 137 × 0·05 = 6·8; that is, they must be counted as bivalent,

or that their atom replaces H_{2}, Na_{2}, or K_{2}. This conclusion may

be confirmed by a method of analogy, as we shall afterwards see. The

application of the principle of specific heats to the determination of

the magnitudes of the atomic weights of those metals, the magnitude of

whose atomic weights could not be determined by Avogadro-Gerhardt's law,

was made about 1860 by the Italian professor Cannizzaro.

Exactly the same conclusions respecting the bivalence of magnesium and

its analogues are obtained by comparing the specific heats of their

compounds, especially of the halogen compounds as the most simple,

with the specific heats of the corresponding alkali compounds. Thus,

for instance, the specific heats of magnesium and calcium chlorides,

MgCl_{2} and CaCl_{2}, are 0·194 and 0·164, and of sodium and potassium

chlorides, NaCl and KCl, 0·214 and 0·172, and therefore their molecular

heats (or the products QM, where M is the weight of the molecule)

are 18·4 and 18·2, 12·5 and 12·8, and hence the atomic heats (or the

quotient of QM by the number of atoms) are all nearly 6, as with the

elements. Whilst if, instead of the actual atomic weights Mg = 24 and

Ca = 40, their equivalents 12 and 20 be taken, then the atomic heats of

the chlorides of magnesium and calcium would be about 4·6, whilst those

of potassium and sodium chlorides are about 6·3.[5] We must remark,

however, that as the specific heat or the amount of heat required to

raise the temperature of a unit of weight one degree[6] is a complex

quantity--including not only the increase of the energy of a substance

with its rise in temperature, but also the external work of expansion[7]

and the internal work accomplished in the molecules causing them to

decompose according to the rise of temperature[8]--therefore it is

impossible to expect in the magnitude of the specific heat the great

simplicity of relation to composition which we see, for instance, in

the density of gaseous substances. Hence, although the specific heat

is one of the important means for determining the atomicity of the

elements, still the mainstay for a true judgment of atomicity is only

given by Avogadro-Gerhardt's law, _i.e._ this other method can only be

accessory or preliminary, and when possible recourse should be had to

the determination of the vapour density.

[5] It must be remarked that in the case of oxygen (and also hydrogen

and carbon) compounds the quotient of MQ/_n_, where _n_ is the

number of atoms in the molecule, is always less than 6 for solids;

for example, for MgO = 5·0, CuO = 5·1, MnO_{2} = 4·6, ice (Q =

0·504) = 3, SiO_{2} = 3·5, &c. At present it is impossible to say

whether this depends on the smaller specific heat of the atom of

oxygen in its solid compounds (Kopp, Note 4) or on some other

cause; but, nevertheless, taking into account this decrease

depending on the presence of oxygen, a reflection of the atomicity

of the elements may to a certain extent be seen in the specific

heat of the oxides. Thus for alumina, Al_{2}O_{3} (Q = 0·217), MQ =

22·3, and therefore the quotient MQ/_n_ = 4·5, which is nearly that

given by magnesium oxide, MgO. But if we ascribe the same

composition to alumina, as to magnesia--that is, if aluminium were

counted as divalent--we should obtain the figure 3·7, which is much

less. In general, in compounds of identical atomic composition and

of analogous chemical properties the molecular heats MQ are nearly

equal, as many investigators have long remarked. For example, ZnS =

11·7 and HgS = 11·8; MgSO_{4} = 27·0 and ZnSO_{4} = 28·0, &c.

[6] If W be the amount of heat contained in a mass _m_ of a substance

at a temperature _t_, and _d_W the amount expended in heating it

from _t_ to _t_ + _dt_, then the specific heat Q = _d_W(_m_ ×

_dt_). The specific heat not only varies with the composition and

complexity of the molecules of a substance, but also with the

temperature, pressure, and physical state of a substance. Even for

gases the variation of Q with _t_ is to be observed. Thus it is

seen from the experiments of Regnault and Wiedemann that the

specific heat of carbonic anhydride at 0° = 0·19, at 100° = 0·22,

and at 200° = 0·24. But the variation of the specific heat of

permanent gases with the temperature is, as far as we know, very

inconsiderable. According to Mallard and Le Chatelier it is =

0·0006/M per 1°, where M is the molecular weight (for instance, for

O_{2}, M = 32). Therefore the specific heat of those permanent

gases which contain two atoms in the molecule (H_{2}, O_{2}, N_{2},

CO, and NO) may be, as is shown by experiment, taken as not varying

with the temperature. The constancy of the specific heat of perfect

gases forms one of the fundamental propositions of the whole theory

of heat and on it depends the determination of temperatures by

means of gas-thermometers containing hydrogen, nitrogen, or air. Le

Chatelier (1887), on the basis of existing determinations,

concludes that the molecular heat--that is, the product MQ--of all

gases varies in proportion to the temperature, and tends to become

equal (= 6·8) at the temperature of absolute zero (that is,

at -273°); and therefore MQ = 6·8 + _a_(273 + _t_), where _a_ is a

constant quantity which increases with the complexity of the

gaseous molecule and Q is the specific heat of the gas under a

constant pressure. For permanent gases _a_ almost = 0, and

therefore MQ = 6·8--that is, the atomic heat (if the molecule

contains two atoms) = 3·4, as it is in fact (Chapter IX., Note

17 bis). As regards liquids (as well as the vapours formed by

them), the specific heat always rises with the temperature. Thus

for benzene it equals 0·38 + 0·0014_t_. R. Schiff (1887) showed

that the variation of the specific heat of many organic liquids is

proportional to the change of temperature (as in the case of gases,

according to Le Chatelier), and reduced these variations into

dependence with their composition and absolute boiling point. It is

very probable that the theory of liquids will make use of these

simple relations which recall the simplicity of the variation of

the specific gravity (Chapter II., Note 34), cohesion, and other

properties of liquids with the temperature. They are all expressed

by the linear function of the temperature, _a_ + _bt_, with the

same degree of proximity as the property of gases is expressed by

the equation _pv_ = _Rt_.

As regards the relation between the specific heats of liquids (or

of solids) and of their vapours, the specific heat of the vapour

(and also of the solid) is always less than that of the liquid. For

example, benzene vapour 0·22, liquid 0·38; chloroform vapour 0·13,

liquid 0·23; steam 0·475, liquid water 1·0. But the complexity of

the relations existing in specific heat is seen from the fact that

the specific heat of ice = 0·502 is less than that of liquid water.

According to Regnault, in the case of bromine the specific heat of

the vapour = 0·055 at (150°), of the liquid = 0·107 (at 30°), and

of solid bromine = 0·084 (at -15°). The specific heat of solid

benzoic acid (according to experiment and calculation, Hess, 1888)

between 0° and 100° is 0·31, and of liquid benzoic acid 0·50. One

of the problems of the present day is the explanation of those

complex relations which exist between the composition and such

properties as specific heat, latent heat, expansion by heat,

compression, internal friction, cohesion, and so forth. They can

only be connected by a complete theory of liquids, which may now

soon be expected, more especially as many sides of the subject have

already been partially explained.

[7] According to the above reasons the quantity of heat, Q, required to

raise the temperature of one part by weight of a substance by one

degree may be expressed by the sum Q = K + B + D, where K is the

heat actually expended in heating the substance, or what is termed

the absolute specific heat, B the amount of heat expended in the

internal work accomplished with the rise of temperature, and D the

amount of heat expended in external work. In the case of gases the

last quantity may be easily determined, knowing their coefficient

of expansion, which is approximately = 0·00368. By applying to this

case the same argument given at the end of Note 11, Chapter I., we

find that one cubic metre of a gas heated 1° produces an external

work of 10333 × 0·00368, or 38·02 kilogrammetres, on which

38·02/424 or 0·0897 heat units are expended. This is the heat

expended for the external work produced by one cubic metre of a

gas, but the specific heat refers to units of weight, and therefore

it is necessary in order to know D to reduce the above quantity to

a unit of weight. One cubic metre of hydrogen at 0° and 760 mm.

pressure weighs 0·0896 kilo, a gas of molecular weight M has a

density M/2, consequently a cubic metre weighs (at 0° and 760 mm.)

0·0448M kilo, and therefore 1 kilogram of the gas occupies a volume

1/0·0448M cubic metres, and hence the external work D in the

heating of 1 kilo of the given gas through 1° = 0·0896/0·0448M, or

D = 2/M.

Taking the magnitude of the internal work B for gases as negligible

if permanent gases are taken, and therefore supposing B = 0, we

find the specific heat of gases at a constant pressure Q = K + 2 M,

where K is the specific heat at a constant volume, or the true

specific heat, and M the molecular weight. Hence K = Q-2/M. The

magnitude of the specific heat Q is given by direct experiment.

According to Regnault's experiments, for oxygen it = 0·2175, for

hydrogen 3·405, for nitrogen 0·2438; the molecular weights of these

gases are 32, 2, and 28, and therefore for oxygen K = 0·2175-0·0625

= 0·1550, for hydrogen K = 3·4050-1·000 = 2·4050, and for nitrogen

K = 0·2438-0·0714 = 0·1724. These true specific heats of elements

are in inverse proportion to their atomic weights--that is, their

product by the atomic weight is a constant quantity. In fact, for

oxygen this product = 0·155 × 16 = 2·48, for hydrogen 2·40, for

nitrogen 0·7724 × 14 = 2·414, and therefore if A stand for the

atomic weight we obtain the expression K × A = a constant, which

may be taken as 2·45. This is the true expression of Dulong and

Petit's law, because K is the true specific heat and A the weight

of the atom. It should be remarked, moreover, that the product of

the observed specific heat Q into A is also a constant quantity

(for oxygen = 3·48, for hydrogen = 3·40), because the external work

D is also inversely proportional to the atomic weight.

In the case of gases we distinguish the specific heat at a constant

pressure _c´_ (we designated this quantity above by Q), and at a

constant volume _c_. It is evident that _the relation between the

two specific heats, k_, judging from the above, is the ratio of Q

to K, or equal to the ratio of 2·45_n_ + 2 to 2·45_n_. When _n_ = 1

this ratio _k_ = 1·8; when _n_ = 2, _k_ = 1·4, when _n_ = 3, _k_ =

1·3, and with an exceedingly large number _n_, of atoms in the

molecule, _k_ = 1. That is, the ratio between the specific heats

decreases from 1·8 to 1·0 as the number of atoms, _n_, contained in

the molecule increases. This deduction is verified to a certain

extent by direct experiment. For such gases as hydrogen, oxygen,

nitrogen, carbonic oxide, air, and others in which _n_ = 2, the

magnitude of _k_ is determined by methods described in works on

physics (for example, by the change of temperature with an

alteration of pressure, by the velocity of sound, &c.) and is found

in reality to be nearly 1·4, and for such gases as carbonic

anhydride, nitric dioxide, and others it is nearly 1·3. Kundt and

Warburg (1875), by means of the approximate method mentioned in

Note 29, Chapter VII., determined _k_ for mercury vapour when _n_ =

1, and found it to be = 1·67--that is, a larger quantity than for

air, as would be expected from the above.

It may be admitted that the true atomic heat of gases = 2·43, only

under the condition that they are distant from a liquid state, and

do not undergo a chemical change when heated--that is, when no

internal work is produced in them (B = 0). Therefore this work may

to a certain extent be judged by the observed specific heat. Thus,

for instance, for chlorine (Q = 0·12, Regnault; _k_ = 1·33,

according to Straker and Martin, and therefore K = 0·09, MK = 6·4),

the atomic heat (3·2) is much greater than for other gases

containing two atoms in a molecule, and it must be assumed,

therefore, that when it is heated some great internal work is

accomplished.

In order to generalise the facts concerning the specific heat of

gases and solids, it appears to me possible to accept the following

general proposition: _the atomic heat_ (that is, AQ or QM/_n_,

where M is the molecular weight and _n_ the number of molecules) is

_smaller_ (in solids it attains its highest value 6·8 and in gases

3·4), _the more complex the molecule_ (i.e. _the greater the number

(n) of atoms forming it_) _and so much smaller, up to a certain

point_ (in similar physical states) _the smaller the mean atomic

weight M/n_.

[8] As an example, it will be sufficient to refer to the specific heat

of nitrogen tetroxide, N_{2}O_{4}, which, when heated, gradually

passes into NO_{2}--that is, chemical work of decomposition

proceeds, which consumes heat. Speaking generally, specific heat is

a complex quantity, in which it is clear that thermal data (for

instance, the heat of reaction) alone cannot give an idea either of

chemical or of physical changes individually, but always depend on

an association of the one and the other. If a substance be heated

from _t__{0} to _t__{1} it cannot but suffer a chemical change

(that is, the state of the atoms in the molecules changes more or

less in one way or another) if dissociation sets in at a

temperature _t__{1}. Even in the case of the elements whose

molecules contain only one atom, a true chemical change is possible

with a rise of temperature, because more heat is evolved in

chemical reactions than that quantity which participates in purely

physical changes. One gram of hydrogen (specific heat = 3·4 at a

constant pressure) cooled to the temperature of absolute zero will

evolve altogether about one thousand units of heat, 8 grams of

oxygen half this amount, whilst in combining together they evolve

in the formation of 9 grams of water more than thirty times as much

heat. Hence the store of chemical energy (that is, of the motion of

the atoms, vortex, or other) is much greater than the physical

store proper to the molecules, but it is the change accomplished by

the former that is the cause of chemical transformations. Here we

evidently touch on those limits of existing knowledge beyond which

the teaching of science does not yet allow us to pass. Many new

scientific discoveries have still to be made before this is

possible.

Among the bivalent metals the first place, with respect to their

distribution in nature, is occupied by _magnesium_ and _calcium_, just as

sodium and potassium stand first amongst the univalent metals. The

relation which exists between the atomic weights of these four metals

confirms the above comparison. In fact, the combining weight of magnesium

is equal to 24, and of calcium 40; whilst the combining weights of sodium

and potassium are 23 and 39--that is, the latter are one unit less than

the former.[9] They all belong to the number of _light metals_, as they

have but a small specific gravity, in which respect they differ from the

ordinary, generally known heavy, or ore, metals (for instance, iron,

copper, silver, and lead), which are distinguished by a much greater

specific gravity. There is no doubt that their low specific gravity has a

significance, not only as a simple point of distinction, but also as a

property which determines the fundamental properties of these metals.

Indeed, all the light metals have a series of points of resemblance with

the metals of the alkalis; thus both magnesium and calcium, like the

metals of the alkalis, decompose water (without the addition of acids),

although not so easily as the latter metals. The process of the

decomposition is essentially one and the same; for example, Ca + 2H_{2}O

= CaH_{2}O_{2} + H_{2}--that is, hydrogen is liberated and a hydroxide of

the metal formed. These hydroxides are bases which neutralise nearly all

acids. However, the hydroxides RH_{2}O_{2} of calcium and magnesium are

in no respect so energetic as the hydroxides of the true metals of the

alkalis; thus when heated they lose water, are not so soluble, develop

less heat with acids, and form various salts, which are less stable and

more easily decomposed by heat than the corresponding salts of sodium and

potassium. Thus calcium and magnesium carbonates easily part with

carbonic anhydride when ignited; the nitrates are also very easily

decomposed by heat, calcium and magnesium oxides, CaO and MgO, being left

behind. The chlorides of magnesium and calcium, when heated with water,

evolve hydrogen chloride, forming the corresponding hydroxides, and when

ignited the oxides themselves. All these points are evidence of a

weakening of the alkaline properties.

[9] As if NaH = Mg and KH = Ca, which is in accordance with their

valency. KH includes two monovalent elements, and is a bivalent

group like Ca.

These metals have been termed _the metals of the alkaline earths_,

because they, like the alkali metals, form energetic bases. They are

called alkaline _earths_ because they are met with in nature in a state

of combination, forming the insoluble mass of the earth, and because as

oxides, RO, they themselves have an earthy appearance. Not a few salts of

these metals are known which are insoluble in water, whilst the

corresponding salts of the alkali metals are generally soluble--for

example, the carbonates, phosphates, borates, and other salts of the

alkaline earth metals are nearly insoluble. This enables us to separate

the metals of the alkaline earths from the metals of the alkalis. For

this purpose a solution of ammonium carbonate is added to a mixed

solution of salts of both kinds of metals, when by a double decomposition

the insoluble carbonates of the metals of the alkaline earths are formed

and fall as a precipitate, whilst the metals of the alkalis remain in

solution: RX_{2} + Na_{2}CO_{3} = RCO_{3} + 2NaX.

We may here remark that the oxides of the metals of the alkaline earths

are frequently called by special names: MgO is called magnesia or bitter

earth; CaO, lime; SrO, strontia; and BaO, baryta.

In the primary rocks the oxides of calcium and magnesium are combined

with silica, sometimes in variable quantities, so that in some cases

the lime predominates and in other cases the magnesium. The two oxides,

being analogous to each other, replace each other in equivalent

quantities. The various forms of _augite_, _hornblende_, or _amphibole_,

and of similar minerals, which enter into the composition of nearly

all rocks, contain lime and magnesia and silica. The majority of the

primary rocks also contain alumina, potash, and soda. These rocks,

under the action of water (containing carbonic acid) and air, give

up lime and magnesia to the water, and therefore they are contained

in all kinds of water, and especially in sea-water. The _carbonates_

CaCO_{3} and MgCO_{3}, frequently met with in nature, _are soluble

in an excess of water saturated with carbonic anhydride_,[10] and

therefore many natural waters contain these salts, and are able to

yield them when evaporated. However, one kilogram of water saturated

with carbonic anhydride does not dissolve more than three grams of

calcium carbonate. By gradually expelling the carbonic anhydride from

such water, an insoluble precipitate of calcium carbonate separates

out. It may confidently be stated that the formation of the very widely

distributed strata of calcium and magnesium carbonates was of this

nature, because these strata are of a sedimentary character--that is,

such as would be exhibited by a gradually accumulating deposit on the

bottom of the sea, and, moreover, frequently containing the remains of

marine plants, and animals, shells, &c. It is very probable that the

presence of these organisms in the sea has played the chief part in the

precipitation of the carbonates from the sea water, because the plants

absorb CO_{2}, and many of the organisms CaCO_{3}, and after death give

deposits of carbonate of lime; for instance, chalk, which is almost

entirely composed of the minute remains of the calcareous shields of

such organisms. These deposits of calcium and magnesium carbonates are

the most important sources of these metals. Lime generally predominates,

because it is present in rocks and running water in greater quantity

than magnesia, and in this case these sedimentary rocks are termed

_limestone_. Some common flagstones used for paving, &c., and chalk may

be taken as examples of this kind of formation. Those limestones in

which a considerable portion of the calcium is replaced by magnesium are

termed _dolomites_. The dolomites are distinguished by their hardness,

and by their not parting with the whole of their carbonic anhydride

so easily as the limestones under the action of acids. Dolomites[11]

sometimes contain an equal number of molecules of calcium carbonate and

magnesium carbonate, and they also sometimes appear in a crystalline

form, which is easily intelligible, because calcium carbonate itself

is exceedingly common in this form in nature, and is then known as

_calc spar_, whilst natural crystalline magnesium carbonate is termed

_magnesite_. The formation of the crystalline varieties of the insoluble

carbonates is explained by the possibility of a slow deposition from

solutions containing carbonic acid. Besides which (Chapter X.) calcium

and magnesium sulphates are obtained from sea water, and therefore they

are met with both as deposits and in springs. It must be observed that

magnesium is held in considerable quantities in sea water, because the

sulphate and chloride of magnesium are very soluble in water, whilst

calcium sulphate is but little soluble, and is used in the formation

of shells; and therefore if the occurrence of considerable deposits of

magnesium sulphate cannot be expected in nature, still, on the other

hand, one would expect (and they do actually occur) large masses of

calcium sulphate or _gypsum_, CaSO_{4},2H_{2}O. Gypsum sometimes forms

strata of immense size, which extend over many hectometres--for example,

in Russia on the Volga, and in the Donetz and Baltic provinces.

[10] Sodium carbonate and other carbonates of the alkalis give acid

salts which are less soluble than the normal; here, on the

contrary, with an excess of carbonic anhydride, a salt is formed

which is more soluble than the normal, but this acid salt is more

unstable than sodium hydrogen carbonate, NaHCO_{3}.

[11] The formation of dolomite may be explained, if only we imagine

that a solution of a magnesium salt acts on calcium carbonate.

Magnesium carbonate may be formed by double decomposition, and it

must be supposed that this process ceases at a certain limit

(Chapter XII.), when we shall obtain a mixture of the carbonates

of calcium and magnesium. Haitinger heated a mixture of calcium

carbonate, CaCO_{3}, with a solution of an equivalent quantity of

magnesium sulphate, MgSO_{4}, in a closed tube at 200°, and then a

portion of the magnesia actually passed into the state of

magnesium carbonate, MgCO_{3}, and a portion of the lime was

converted into gypsum, CaSO_{4}. Lubavin (1892) showed that

MgCO_{3} is more soluble than CaCO_{3} in salt water, which is of

some significance in explaining the composition of sea water.

Lime and magnesia also, but in much smaller quantities (only to the

amount of several fractions of a per cent. and rarely more), enter into

the composition of every fertile soil, and without these bases the soil

is unable to support vegetation. Lime is particularly important in this

respect, and its presence in a larger quantity generally improves the

harvest, although purely calcareous soils are as a rule infertile. For

this reason the soil is fertilised both with lime[12] itself and with

marl--that is, with clay mixed with a certain quantity of calcium

carbonate, strata of which are found nearly everywhere.

[12] The undoubted action of lime in increasing the fertility of

soils--if not in every case, at all events, with ordinary soils

which have long been under corn--is based not so much on the need

of plants for the lime itself as on those chemical and physical

changes which it produces in the soil, as a particularly powerful

base which aids the alteration of the mineral and organic elements

of the soil.

From the soil the lime and magnesia (in a smaller quantity) pass into the

substance of _plants_, where they occur as salts. Certain of these salts

separate in the interior of plants in a crystalline form--for example,

calcium oxalate. The lime occurring in plants serves as the source for

the formation of the various calcareous secretions which are so common in

_animals_ of all classes. The bones of the highest animal orders, the

shells of mollusca, the covering of the sea-urchin, and similar solid

secretions of sea animals, contain calcium salts; namely, the shells

mainly calcium carbonate, and the bones mainly calcium phosphate. Certain

limestones are almost entirely formed of such deposits. Odessa is

situated on a limestone of this kind, composed of shells. Thus magnesium

and calcium occur throughout the entire realm of nature, but calcium

predominates.

As lime and magnesia form bases which are in many respects analogous,

they were not distinguished from each other for a long time. Magnesia

was obtained for the first time in the seventeenth century from Italy,

and used as a medicine; and it was only in the last century that Black,

Bergmann, and others distinguished magnesia from lime.

_Metallic magnesium_ (and calcium also) is not obtained by heating

magnesium oxide or the carbonate with charcoal, as the alkali metals

are obtained,[13] but is liberated by the action of a galvanic current

on fused magnesium chloride (best mixed with potassium chloride); Davy

and Bussy obtained metallic magnesium by acting on magnesium chloride

with the vapours of potassium. At the present time (Deville's process)

magnesium is prepared in rather considerable quantities by a similar

process, only the potassium is replaced by sodium. Anhydrous magnesium

chloride, together with sodium chloride and calcium fluoride, is fused

in a close crucible. The latter substances only serve to facilitate the

formation of a fusible mass before and after the reaction, which is

indispensable in order to prevent the access and action of air. One part

of finely divided sodium to five parts of magnesium chloride is thrown

into the strongly heated molten mass, and after stirring the reaction

proceeds very quickly, and magnesium separates, MgCl_{2} + Na_{2} = Mg

+ 2NaCl. In working on a large scale, the powdery metallic magnesium

is then subjected to distillation at a white heat. The distillation

of the magnesium is necessary, because the undistilled metal is not

homogeneous[14] and burns unevenly: the metal is prepared for the

purpose of illumination. Magnesium is a white metal, like silver; it

is not soft like the alkali metals, but is, on the contrary, hard like

the majority of the ordinary metals. This follows from the fact that it

melts at a somewhat high temperature--namely, about 500°--and boils at

about 1000°. It is malleable and ductile, like the generality of metals,

so that it can be drawn into wires and rolled into ribbon; it is most

frequently used for lighting purposes in the latter form. Unlike the

alkali metals, magnesium does not decompose the atmospheric moisture at

the ordinary temperature, so that it is almost unacted on by air; it is

not even acted on by water at the ordinary temperature, so that it may

be washed to free it from sodium chloride. Magnesium only decomposes

water with the evolution of hydrogen at the boiling point of water,[15]

and more rapidly at still higher temperatures. This is explained by the

fact that in decomposing water magnesium forms an insoluble hydroxide,

MgH_{2}O_{2}, which covers the metal and hinders the further action

of the water. Magnesium easily displaces hydrogen from acids, forming

magnesium salts. When ignited it _burns_, not only in oxygen but in air

(and even in carbonic anhydride), forming a white powder of magnesium

oxide, or magnesia; in burning it emits a white and exceedingly

_brilliant light_. The strength of this light naturally depends on the

fact that magnesium (24 parts by weight) in burning evolves about

140 thousand heat units, and that the product of combustion, MgO,

is infusible by heat; so that the vapour of the burning magnesium

contains an ignited powder of non-volatile and infusible magnesia,

and consequently presents all the conditions for the production of

a brilliant light. The light emitted by burning magnesium contains

many rays which act chemically, and are situated in the violet and

ultra-violet parts of the spectrum. For this reason burning magnesium

may be employed for producing photographic images.[16]

[13] Sodium and potassium only decompose magnesium oxide at a white

heat and very feebly, probably for two reasons. In the first

place, because the reaction Mg + O develops more heat (about 140

thousand calories) than K_{2} + O or Na_{2} + O (about 100

thousand calories); and, in the second place, because magnesia is

not fusible at the heat of a furnace and cannot act on the

charcoal, sodium, or potassium--that is, it does not pass into

that mobile state which is necessary for reaction. The first

reason alone is not sufficient to explain the absence of the

reaction between charcoal and magnesia, because iron and charcoal

in combining with oxygen evolve less heat than sodium or

potassium, yet, nevertheless, they can displace them. With respect

to magnesium chloride, it acts on sodium and potassium, not only

because their combination with chlorine evolves more heat than the

combination of chlorine and magnesium (Mg + Cl_{2} gives 150 and

Na_{2} + Cl_{2} about 195 thousand calories), but also because a

fusion, both of the magnesium chloride and of the double salt,

takes place under the action of heat. It is probable, however,

that a reverse reaction will take place. A reverse reaction might

probably be expected, and Winkler (1890) showed that Mg reduces

the oxides of the alkali metals (Chapter XIII., Note 42).

[14] Commercial magnesium generally contains a certain amount of

magnesium nitride (Deville and Caron), Mg_{3}N_{2}--that is, a

product of substitution of ammonia which is directly formed (as is

easily shown by experiment) when magnesium is heated in nitrogen.

It is a yellowish green powder, which gives ammonia and magnesia

with water, and cyanogen when heated with carbonic anhydride.

Pashkoffsky (1893) showed that Mg_{3}N_{2} is easily formed and is

the sole product when Mg is heated to redness in a current of

NH_{3}. Perfectly pure magnesium may be obtained by the action of

a galvanic current.

[15] Hydrogen peroxide (Weltzien) dissolves magnesium. The reaction has

not been investigated.

[16] A special form of apparatus is used for burning magnesium. It is a

clockwork arrangement in which a cylinder rotates, round which a

ribbon or wire of magnesium is wound. The wire is subjected to a

uniform unwinding and burning as the cylinder rotates, and in this

manner the combustion may continue uniform for a certain time. The

same is attained in special lamps, by causing a mixture of sand

and finely divided magnesium to fall from a funnel-shaped

reservoir on to the flame. In photography it is best to blow

finely divided magnesium into a colourless (spirit or gas) flame,

and for instantaneous photography to light a cartridge of a

mixture of magnesium and chlorate of potassium by means of a spark

from a Ruhmkorff's coil (D. Mendeléeff, 1889).

Owing to its great affinity for oxygen, magnesium _reduces_ many metals

(zinc, iron, bismuth, antimony, cadmium, tin, lead, copper, silver, and

others) from solutions of their salts at the ordinary temperature,[17]

and at a red heat finely divided magnesium takes up the oxygen from

silica, alumina, boric anhydride, &c.; so that silicon and similar

elements may be obtained by directly heating a mixture of powdered silica

and magnesium in an infusible glass tube.[18]

[17] According to the observations of Maack, Comaille, Böttger, and

others. The reduction by heat mentioned further on was pointed out

by Geuther, Phipson, Parkinson and Gattermann.

[18] This action of metallic magnesium in all probability depends,

although only partially (_see_ Note 13), on its volatility, and on

the fact that, in combining with a given quantity of oxygen, it

evolves more heat than aluminium, silicon, potassium, and other

elements.

The affinity of magnesium for the halogens is much more feeble than for

oxygen,[19] as is at once evident from the fact that a solution of iodine

acts feebly on magnesium; still magnesium burns in the vapours of iodine,

bromine, and chlorine. The character of magnesium is also seen in the

fact that all its salts, especially in the presence of water, are

decomposable at a comparatively moderate temperature, the elements of the

acid being evolved, and the magnesium oxide, which is non-volatile and

unchangeable by heat, being left. This naturally refers to those acids

which are themselves volatilised by heat. Even magnesium sulphate is

completely decomposed at the temperature at which iron melts, oxide of

magnesium remaining behind. This decomposition of magnesium salts by heat

proceeds much more easily than that of calcium salts. For example,

magnesium carbonate is totally decomposed at 170°, magnesium oxide being

left behind. This _magnesia_, or _magnesium oxide_, is met with both in

an anhydrous and hydrated state in nature (the anhydrous magnesia as the

mineral _periclase_, MgO, and the hydrated magnesia as _brucite_,

MgH_{2}O_{2}). Magnesia is a well-known medicine (calcined

magnesia--_magnesia usta_). It is a white, extremely fine, and very

voluminous powder, of specific gravity 3·4; it is infusible by heat, and

only shrinks or shrivels in an oxyhydrogen flame. After long contact the

anhydrous magnesia combines with water, although very slowly, forming the

hydroxide Mg(HO)_{2}, which, however, parts with its water with great

ease when heated even below a red heat, and again yields anhydrous

magnesia. This hydroxide is obtained directly as a gelatinous amorphous

substance when a soluble alkali is mixed with a solution of any magnesium

salt, MgCl_{2} + 2KHO = Mg(HO)_{2} + 2KCl. This decomposition is

complete, and nearly all the magnesium passes into the precipitate; and

this clearly shows the almost perfect insolubility of magnesia in water.

Water dissolves a scarcely perceptible quantity of magnesium

hydroxide--namely, one part is dissolved by 55,000 parts of water. Such a

solution, however, has an alkaline reaction, and gives, with a salt of

phosphoric acid, a precipitate of magnesium phosphate, which is still

more insoluble. Magnesia is not only dissolved by acids, forming salts,

but it also displaces certain other bases--for example, ammonia from

ammonium salts when boiled; and the hydroxide also absorbs carbonic

anhydride from the air. The magnesium salts, like those of calcium,

potassium, and sodium, are colourless if they are formed from colourless

acids. Those which are soluble have a bitter taste, whence magnesia has

been termed _bitter-earth_. In comparison with the alkalis magnesia is a

feeble base, inasmuch as it forms somewhat unstable salts, easily gives

basic salts, forms acid salts with difficulty, and is able to give double

salts with the salts of the alkalis, which facts are characteristic of

feeble bases, as we shall see in becoming acquainted with the different

metals.

[19] Davy, on heating magnesia in chlorine, concluded that there was a

complete substitution, because the volume of the oxygen was half

the volume of the chlorine; it is probable, however, that owing to

the formation of chlorine oxide (Chapter XI., Note 30) the

decomposition is not complete and is limited by a reverse

reaction.

The power of magnesium salts to form double and basic salts is very

frequently shown in reactions, and is specially marked as

regards ammonium salts. If saturated solutions of magnesium and

ammonium sulphates are mixed together, a crystalline double salt

Mg(NH_{4})_{2}(SO_{4})_{2},6H_{2}O,[20] is immediately precipitated.

A strong solution of ordinary ammonium carbonate dissolves magnesium

oxide or carbonate, and precipitates crystals of a double salt,

Mg(NH_{4})_{2}(CO_{3})_{2},4H_{2}O, from which water extracts the

ammonium carbonate. With an excess of an ammonium salt the double

salt passes into solution,[21] and therefore if a solution contain

a magnesium salt and an excess of an ammonium salt--for instance,

sal-ammoniac--then sodium carbonate will no longer precipitate

magnesium carbonate. A mixture of solutions of magnesium and ammonium

chlorides, on evaporation or refrigeration, gives a double salt,

Mg(NH_{4})Cl_{3},6H_{2}O.[22] The salts of potassium, like those

of ammonium, are able to enter into combination with the magnesium

salts.[23] For instance, the double salt, MgKCl_{3},6H_{2}O, which is

known as _carnallite_,[24] and occurs in the salt mines of Stassfurt,

may be formed by freezing a saturated solution of potassium chloride

with an excess of magnesium chloride. A saturated solution of magnesium

sulphate dissolves potassium sulphate, and solid magnesium sulphate

is soluble in a saturated solution of potassium sulphate. A double

salt, K_{2}Mg(SO_{4})_{2},6H_{2}_O, which closely resembles the

above-mentioned ammonium salt, crystallises from these solutions.[25]

The nearest analogues of magnesium are able to give exactly similar

double salts, both in crystalline form (monoclinic system) and

composition; they, like this salt (_see_ Chapter XV.), are easily

able (at 140°) to part with all their water of crystallisation,

and correspond with the salts of sulphuric acid, whose type may

be taken as _magnesium sulphate_, MgSO_{4}.[26] It occurs at

Stassfurt as _kieserite_, MgSO_{4},H_{2}O, and generally separates

from solutions as a heptahydrated salt, MgSO_{4},7H_{2}O, and from

supersaturated solutions as a hexahydrated salt, MgSO_{4},6H_{2}O; at

temperatures below 0° it crystallises out as a dodecahydrated salt,

MgSO_{4},12H_{2}O, and a solution of the composition MgSO_{4},2H_{2}O

solidifies completely at -5°.[27] Thus between water and magnesium

sulphate there may exist several definite and more or less stable

degrees of equilibrium; the double salt MgSO_{4}K_{2}SO_{4},6H_{2}O

may be regarded as one of these equilibrated systems, the more so

since it contains 6H_{2}O, whilst MgSO_{4} forms its most stable

system with 7H_{2}O, and the double salt may be considered as this

crystallo-hydrate in which one molecule of water is replaced by the

molecule K_{2}SO_{4}.[28]

[20] Even a solution of ammonium chloride gives this salt with

magnesium sulphate. Its sp. gr. is 1·72; 100 parts of water at 0°

dissolve 9, at 20° 17·9 parts of the anhydrous salt. At about 130°

it loses all its water.

[21] This is an example of equilibrium and of the influence of mass;

the double salt is decomposed by water, but if instead of water we

take a solution of that soluble part which is formed in the

decomposition of the double salt, then the latter dissolves as a

whole.

[22] If an excess of ammonia be added to a solution of magnesium

chloride, only half the magnesium is thrown down in the

precipitate, 2MgCl_{2} + 2NH_{4}.OH = Mg(OH)_{2} + Mg.NH_{4}Cl_{3}

+ NH_{4}Cl. A solution of ammonium chloride reacts with magnesia,

evolving ammonia and forming a solution of the same salt, MgO +

3NH_{4}Cl = MgNH_{4}Cl_{3} + H_{2}O + 2NH_{3}.

Among the double salts of ammonium and magnesium, the phosphate,

MgNH_{4}PO_{4},6H_{2}O, is almost insoluble in water (0·07 gram is

soluble in a litre), even in the presence of ammonia. Magnesia is

very frequently precipitated as this salt from solutions in which

it is held by ammonium salts. As lime is not retained in solution

by the presence of ammonium salts, but is precipitated

nevertheless by sodium carbonate, &c., it is very easy to separate

calcium from magnesium by taking advantage of these properties.

[23] In order to see the nature and cause of formation of double salts,

it is sufficient (although this does not embrace the whole essence

of the matter) to consider that one of the metals of such salts

(for instance, potassium) easily gives acid salts, and the other

(in this instance, magnesium) basic salts; the properties of

distinctly basic elements predominate in the former, whilst in the

latter these properties are enfeebled, and the salts formed by

them bear the character of acids--for example, the salts of

aluminium or magnesium act in many cases like acids. By their

mutual combination these two opposite properties of the salts are

both satisfied.

[24] Carnallite has been mentioned in Chapter X. (Note 4) and in

Chapter XIII. These deposits also contain much _kainite_,

KMgCl(SO_{4}),3H_{2}O (sp. gr. 2·13; 100 parts of water dissolve

79·6 parts at 18°). This double salt contains two metals and two

haloids. Feit (1889) also obtained a bromide corresponding to

carnallite.

[25] The component parts of certain double salts diffuse at different

rates, and as the diffused solution contains a different

proportion of the component salts than the solution taken of the

double salt, it shows that such salts are decomposed by water.

According to Rüdorff, the double salts, like carnallite,

MgK_{2}(SO_{4})_{2},6H_{2}O, and the alums, all belong to this

order (1888). But such salts as tartar emetic, the double

oxalates, and double cyanides are not separated by diffusion,

which in all probability depends both on the relative rate of the

diffusion of the component salts and on the degree of affinity

acting between them. Those complex states of equilibrium which

exist between water, the individual salts MX and NY, and the

double salt MNXY, have been already partially analysed (as will be

shown hereafter) in that case when the system is heterogeneous

(that is, when something separates out in a solid state from the

liquid solution), but in the case of equilibria in a homogeneous

liquid medium (in a solution) the phenomenon is not so clear,

because it concerns that very theory of solution which cannot yet

be considered as established (Chapter I., Note 9, and others). As

regards the heterogeneous decomposition of double salts, it has

long been known that such salts as carnallite and

K_{2}Mg(SO_{4})_{2} give up the more soluble salt if an

insufficient quantity of water for their complete solution be

taken. The complete saturation of 100 parts of water requires at

0° 14·1, at 20° 25, and at 60° 50·2 parts of the latter double

salt (anhydrous), while 100 parts of water dissolve 27 parts of

magnesium sulphate at 0°, 36 parts at 20°, and 55 parts at 60°, of

the anhydrous salt taken. Of all the states of equilibrium

exhibited by double salts the most fully investigated as yet is

the system containing water, sodium sulphate, magnesium sulphate,

and their double salt, Na_{2}Mg(SO_{4})_{2}, which crystallises

with 4 and 6 mol. OH_{2}. The first crystallo-hydrate,

MgNa_{2}(SO_{4})_{2},4H_{2}O, occurs at Stassfurt, and as a

sedimentary deposit in many of the salt lakes near Astrakhan, and

is therefore called _astrakhanite_. The specific gravity of the

monoclinic prisms of this salt is 2·22. If this salt, in a finely

divided state, be mixed with the necessary quantity of water

(according to the equation MgNa_{2}(SO_{4})_{2},4H_{2}O + 13H_{2}O

= Na_{2}SO_{4},10H_{2}O + MgSO_{4},7H_{2}O), the mixture

solidifies like plaster of Paris into a homogeneous mass if the

temperature be _below_ 22° (Van't Hoff und Van Deventer, 1886;

Bakhuis Roozeboom, 1887); but if the temperature be above this

_transition-point_ the water and double salt do not react on each

other: that is, they do not solidify or give a mixture of sodium

and magnesium sulphates. If a mixture (in equivalent quantities)

of solutions of these salts be evaporated, and crystals of

astrakhanite and of the individual salts capable of proceeding

from it be added to the concentrated solution to avoid the

possibility of a supersaturated solution, then at temperatures

above 22° astrakhanite is exclusively formed (this is the method

of its production), but at lower temperatures the individual salts

are alone produced. If equivalent amounts of Glauber's salt and

magnesium sulphate be mixed together in a solid state, there is no

change at temperatures below 22°, but at higher temperatures

astrakhanite and water are formed. The volume occupied by

Na_{2}SO_{4},10H_{2}O in grams = 322/1·46 = 220·5 cubic

centimetres, and by MgSO_{4},7H_{2}O = 246/1·68 = 146·4 c.c.;

hence their mixture in equivalent quantities occupies a volume of

366·9 c.c. The volume of astrakhanite = 334/2·22 = 150·5 c.c., and

the volume of 13H_{2}O = 234 c.c., hence their sum = 380·5 c.c.,

and therefore it is easy to follow the formation of the

astrakhanite in a suitable apparatus (a kind of thermometer

containing oil and a powdered mixture of sodium and magnesium

sulphates), and to see by the variation in volume that below 22°

it remains unchanged, and at higher temperatures proceeds the more

quickly the higher the temperature. At the transition temperature

the solubility of astrakhanite and of the mixture of the component

salts is one and the same, whilst at higher temperatures a

solution which is saturated for a mixture of the individual salts

would be supersaturated for astrakhanite, and at lower

temperatures the solution of astrakhanite will be supersaturated

for the component salts, as has been shown with especial detail by

Karsten, Deacon, and others. Roozeboom showed that there are two

limits to the composition of the solutions which can exist for a

double salt; these limits are respectively obtained by dissolving

a mixture of the double salt with each of its component simple

salts. Van't Hoff demonstrated, besides this, that the tendency

towards the formation of double salts has a distinct influence on

the progress of double decomposition, for at temperatures above

31° the mixture 2MgSO_{4},7H_{2}O + 2NaCl passes into

MgNa_{2}(SO_{4})_{2},4H_{2}O + MgCl_{2},6H_{2}O + 4H_{2}O, whilst

below 31° there is not this double decomposition, but it proceeds

in the opposite direction, as may be demonstrated by the

above-described methods. Van der Heyd obtained a potassium

astrakhanite, K_{2}SO_{4}MgSO_{4},4H_{2}O, from solutions of the

component salts at 100°.

From these experiments on double salts we see that there is as

close a dependence between the temperature and the formation of

substances as there is between the temperature and a change of

state. It is a case of Deville's principles of dissociation,

extended in the direction of the passage of a solid into a liquid.

On the other hand, we see here how essential a _rôle_ water plays

in the formation of compounds, and how the affinity for water of

crystallisation is essentially analogous to the affinity between

salts, and hence also to the affinity of acids for bases, because

the formation of double salts does not differ in any essential

point (except the degree of affinity--that is, from a quantitative

aspect) from the formation of salts themselves. When sodium

hydroxide with nitric acid gives sodium nitrate and water the

phenomenon is essentially the same as in the formation of

astrakhanite from the salts Na_{2}SO_{4},10H_{2}O and

MgSO_{4},7H_{2}O. Water is disengaged in both cases, and hence the

volumes are altered.

[26] This salt, and especially its crystallo-hydrate with 7H_{2}O, is

generally known as Epsom salts. It has long been used as a

purgative. It is easily obtained from magnesia and sulphuric acid,

and it separates on the evaporation of sea water and of many

saline springs. When carbonic anhydride is obtained by the action

of sulphuric acid on magnesite, magnesium sulphate remains in

solution. When dolomite--that is, a mixture of magnesium and

calcium carbonates--is subjected to the action of a solution of

hydrochloric acid until about half of the salt remains, the

calcium carbonate is mostly dissolved and magnesium carbonate is

left, which by treatment with sulphuric acid gives a solution of

magnesium sulphate.

[27] The anhydrous salt, MgSO_{4} (sp. gr. 2·61), attracts moisture

(7 mol. H_{2}O) from moist air; when heated in steam or hydrogen

chloride it gives sulphuric acid, and when heated with carbon it

is decomposed according to the equation 2MgSO_{4} + C = 2SO_{2} +

CO_{2} + 2MgO. The monohydrated salt (kieserite), MgSO_{4},H_{2}O

(sp. gr. 2·56), dissolves in water with difficulty; it is formed

by heating the other crystallo-hydrates to 135°. The hexahydrated

salt is dimorphous. If a solution, saturated at the boiling-point,

be prepared, and cooled without access of crystals of the

heptahydrated salt, then MgSO_{4},6H_{2}O crystallises out in

_monoclinic_ prisms (Loewel, Marignac), which are quite as

unstable as the salt, Na_{2}SO_{4},7H_{2}O; but if prismatic

crystals of the cubic system of the copper-nickel salts of the

composition MSO_{4},6H_{2}O be added, then crystals of

MgSO_{4},6H_{2}O are deposited on them as prisms of the _cubic_

system (Lecoq de Boisbaudran). The common crystallo-hydrate,

MgSO_{4},7H_{2}O, Epsom salts, belongs to the _rhombic_ system,

and is obtained by crystallisation below 30°. Its specific gravity

is 1·69. In a vacuum, or at 100°, it loses 5H_{2}O, at 132°

6H_{2}O, and at 210° all the 7H_{2}O (Graham). If crystals of

ferrous or cobaltic sulphate be placed in a saturated solution,

_hexagonal_ crystals of the heptahydrated salt are formed (Lecoq

de Boisbaudran); they present an unstable state of equilibrium,

and soon become cloudy, probably owing to their transformation

into the more stable common form. Fritzsche, by cooling saturated

solutions below 0°, obtained a mixture of crystals of ice and of a

dodecahydrated salt, which easily split up at temperatures above

0°. Guthrie showed that dilute solutions of magnesium sulphate,

when refrigerated, separate ice until the solution attains a

composition MgSO_{4},24H_{2}O, which will completely freeze into a

crystallo-hydrate at -5·3°. According to Coppet and Rüdorff, the

temperature of the formation of ice falls by 0·073° for every part

by weight of the heptahydrated salt per 100 of water. This figure

gives (Chapter I., Note 49) _i_ = 1 for both the heptahydrated and

the anhydrous salt, from which it is evident that it is impossible

to judge the state of combination in which a dissolved substance

occurs by the temperature of the formation of ice.

The solubility of the different crystallo-hydrates of magnesium

sulphate, according to Loewel, also varies, like those of sodium

sulphate or carbonate (_see_ Chapter XII., Notes 7 and 18). At 0°

100 parts of water dissolves 40·75 MgSO_{4} in the presence of the

hexahydrated salt, 34·67 MgSO_{4} in the presence of the hexagonal

heptahydrated salt, and only 26 parts of MgSO_{4} in the presence

of the ordinary heptahydrated salt--that is, solutions giving the

remaining crystallo-hydrates will be supersaturated for the

ordinary heptahydrated salt.

All this shows how many diverse aspects of more or less stable

equilibria may exist between water and a substance dissolved in

it; this has already been enlarged on in Chapter I.

Carefully purified magnesium sulphate in its aqueous solution

gives, according to Stcherbakoff, an alkaline reaction with

litmus, and an acid reaction with phenolphthalein.

The specific gravity of solutions of certain salts of magnesium

and calcium reduced to 15°/4° (see my work cited, Chapter I., Note

19), are, if water at 4° = 10,000,

MgSO_{4}: _s_ = 9,992 + 99·89_p_ + 0·553_p_^2

MgCl_{2}: _s_ = 9,992 + 81·31_p_ + 0·372_p_^2

CaCl_{2}: _s_ = 9,992 + 80·24_p_ + 0·476_p_^2

[28] Graham even distinguished the last equivalent of the water of

crystallisation of the heptahydrated salt as that which is

replaced by other salts, pointing out that double salts like

MgK_{2}(SO_{4})_{2},6H_{2}O lose all their water at 135°, whilst

MgSO_{4},7H_{2}O only parts with 6H_{2}O.

_The power of forming basic salts_ is a very remarkable peculiarity of

magnesia and other feeble bases, and especially of those corresponding

with polyvalent metals. The very powerful bases corresponding with

univalent metals--like potassium and sodium--do not form basic salts,

and, indeed, are more prone to give acid salts, whilst magnesium easily

and frequently forms basic salts, especially with feeble acids, although

there are some oxides--as, for example, copper and lead oxides--which

still more frequently give basic salts. If a cold solution of magnesium

sulphate be mixed with a solution of sodium carbonate there is formed a

gelatinous precipitate of a basic salt, Mg(HO)_{2},4MgCO_{3},9H_{2}O;

but all the magnesia is not precipitated in this case, as a portion of it

remains in solution as an acid double salt. If sodium carbonate be added

to a boiling solution of magnesium sulphate a precipitate of a still more

basic salt is formed, 4MgSO_{4} + 4Na_{2}CO_{3} + 4H_{2}O = 4Na_{2}SO_{4}

+ CO_{2} + Mg(OH)_{2},3MgCO_{3},3H_{2}O. This basic salt forms the

ordinary drug _magnesia_ (_magnesia alba_), in the form of light porous

lumps. Other basic salts are formed under certain modifications of

temperature and conditions of decomposition. But _the normal salt_,

MgCO_{3}, which occurs in nature as magnesite in the form of rhombohedra

of specific gravity 3·056, cannot be obtained by such a method of

precipitation. In fact, the formation of the different basic salts shows

the power of water to decompose the normal salt. It is possible, however,

to obtain this salt both in an anhydrous and hydrated state. A solution

of magnesium carbonate in water containing carbonic acid is taken for

this purpose. The reason for this is easily understood--carbonic

anhydride is one of the products of the decomposition of magnesium

carbonate in the presence of water. If this solution be left to evaporate

spontaneously the normal salt separates in a hydrated form, but in the

evaporation of a heated solution, through which a stream of carbonic

anhydride is passed, the anhydrous salt is formed as a crystalline mass,

which remains unaltered in the air, like the natural mineral.[29] The

decomposing influence of water on the salts of magnesium, which is

directly dependent on the feeble basic properties of magnesia,[30] is

most clearly seen in _magnesium chloride_, MgCl_{2}. This salt is

contained[31] in the last mother-liquors of the evaporation of sea-water.

On cooling a sufficiently concentrated solution, the crystallo-hydrate,

MgCl_{2},6H_{2}O, separates;[32] but if it be further heated (above

106°) to remove the water, then hydrochloric acid passes off together

with the latter, so that there ultimately remains magnesia with a small

quantity of magnesium chloride.[33] From what has been said it is evident

that anhydrous magnesium chloride cannot be obtained by simple

evaporation. But if sal-ammoniac or sodium chloride be added to a

solution of magnesium chloride, then the evolution of hydrochloric acid

does not take place, and after complete evaporation the residue is

perfectly soluble in water. This renders it possible to obtain anhydrous

magnesium chloride from its aqueous solution. Indeed the mixture with

sal-ammoniac (in excess) may be dried (the residue consists of an

anhydrous double salt, MgCl_{2},2NH_{4}Cl) and then ignited (460°), when

the sal-ammoniac is converted into vapour and a fused mass of anhydrous

magnesium chloride remains behind. The anhydrous chloride evolves a very

considerable amount of heat on the addition of water, which shows the

great affinity the salt has for water.[34] Anhydrous magnesium chloride

is not only obtained by the above method, but is also formed by the

direct combination of chlorine and magnesium, and by the action of

chlorine on magnesium oxide, oxygen being evolved; this proceeds still

more easily _by heating magnesia with charcoal in a stream of chlorine_,

when the charcoal serves to take up the oxygen. This latter method is

also employed for the preparation of chlorides which are formed in an

anhydrous condition with still greater difficulty than magnesium

chloride. Anhydrous magnesium chloride forms a colourless, transparent

mass, composed of flexible crystalline plates of a pearly lustre. It

fuses at a low red heat (708°) into a colourless liquid, remains

unchanged in a dry state, but under the action of moisture is partially

decomposed even at the ordinary temperature, with formation of

hydrochloric acid. When heated in the presence of oxygen (air) it gives

chlorine and the basic salt, which is formed with even greater facility

under the action of heat in the presence of steam, when HCl is formed,

according to the equation 2MgCl_{2} + H_{2}O = MgOMgCl_{2} + 2HCl.[34 bis]

[29] The crystalline form of the anhydrous salt obtained in

this manner is not the same as that of the natural salt. The

former gives rhombohedra, like those in which calcium carbonate

appears as calc spar, whilst the natural salt appears as rhombic

prisms, like those sometimes presented by the same carbonate as

aragonite, which will shortly be described.

[30] Magnesium sulphate enters into certain reactions which are proper

to sulphuric acid itself. Thus, for instance, if a carefully

prepared mixture of equivalent quantities of hydrated magnesium

sulphate and sodium chloride be heated to redness, the evolution

of hydrochloric acid is observed just as in the action of

sulphuric acid on common salt, MgSO_{4} + 2NaCl + H_{2}O =

Na_{2}SO_{4} + MgO + 2HCl. Magnesium sulphate acts in a similar

manner on nitrates, with the evolution of nitric acid. A mixture

of it with common salt and manganese peroxide gives chlorine.

Sulphuric acid is sometimes replaced by magnesium sulphate in

galvanic batteries--for example, in the well-known Meidinger

battery. In the above-mentioned reactions we see a striking

example of the similarity of the reactions of acids and salts,

especially of salts which contain such feeble bases as magnesia.

[31] As sea-water contains many salts, MCl and MgX_{2}, it follows,

according to Berthollet's teaching, that MgCl_{2} is also present.

[32] As the crystallo-hydrates of the salts of sodium often contain

10H_{2}O, so many of the salts of magnesium contain 6H_{2}O.

[33] This decomposition is most simply defined as the result of the

two reverse reactions, MgCl_{2} ÷ H_{2}O = MgO + 2HCl and MgO +

2HCl = MgCl_{2} + H_{2}O, or as a distribution between O and

Cl_{2} on the one hand and H_{2} and Mg on the other. (With O,

MgCl_{2} gives chlorine, _see_ Chapter X., Note 33, and Chapter

II., Note 3 bis and others, where the reactions and

applications of MgCl_{2} are given.) It is then clear that,

according to Berthollet's doctrine, the mass of the hydrochloric

acid converts the magnesium oxide into chloride, and the mass of

the water converts the magnesium chloride into oxide. The

crystallo-hydrate, MgCl_{2},6H_{2}O, forms the limit of the

reversibility. But an intermediate state of equilibrium may exist

in the form of basic salts. On mixing ignited magnesia with a

solution of magnesium chloride of specific gravity about 1·2, a

solid mass is obtained which is scarcely decomposed by water at

the ordinary temperature (_see_ Chapter XVI., Note 4). A similar

means is employed for cementing sawdust into a solid mass, called

cylolite, used for flooring, &c.

We may remark that MgBr_{2} crystallises not only with 6H_{2}O

(temperature of fusion 152°), but also with 10H_{2}O (temperature

of fusion +12°, formed at -18°). (Panfiloff, 1894).

[34] According to Thomsen, the combination of MgCl_{2} with 6H_{2}O

evolves 33,000 calories, and its solution in an excess of water

36,000.

[34 bis] Hence MgCl_{2} may be employed for the preparation of chlorine

and hydrochloric acid (Chapters X. and XI.). In general magnesium

chloride, which is obtained in large quantities from sea water and

Stassfurt carnallite, may find numerous practical uses.

_Calcium_ (or the metal of lime) and its compounds in many respects

present a great resemblance to magnesium compounds, but are also clearly

distinguished from them by many properties.[35] In general, calcium

stands to magnesium in the same relation as potassium occupies in respect

to sodium. Davy obtained metallic calcium, like potassium, as an amalgam

by the action of a galvanic current; but neither charcoal nor iron

decomposes calcium oxide, and even sodium decomposes calcium chloride[36]

with difficulty. But a galvanic current easily decomposes calcium

chloride, and metallic sodium somewhat easily decomposes calcium iodide

when heated. As in the case of hydrogen, potassium, and magnesium, the

affinity of iodine for calcium is feebler than that of chlorine (and

oxygen), and therefore it is not surprising that calcium iodide may be

subjected to that decomposition, which the chloride and oxide undergo

with difficulty.[37] _Metallic calcium_ is of a yellow colour, and has a

considerable lustre, which it preserves in dry air. Its specific gravity

is 1·58. Calcium is distinguished by its great ductility; it melts at a

red heat and then burns in the air with a very brilliant flame; the

brilliancy is due to the formation of finely divided infusible calcium

oxide. Judging from the fact that calcium in burning gives a very large

flame, it is probable that this metal is volatile. Calcium decomposes

water at the ordinary temperature, and is oxidised in moist air, but not

so rapidly as sodium. In burning, it gives its oxide or _lime_, CaO, a

substance which is familiar to every one, and of which we have already

frequently had occasion to speak. This oxide is not met with in nature in

a free state, because it is an energetic base which everywhere encounters

acid substances forming salts with them. It is generally combined with

silica, or occurs as calcium carbonate or sulphate. The carbonate and

nitrate are decomposed, at a red heat, with the formation of lime. As a

rule, the carbonate, which is so frequently met with in nature, serves as

the source of the calcium oxide, both commercial and pure. When heated,

calcium carbonate dissociates: CaCO_{3} = CaO + CO_{2}. In practice the

decomposition is conducted at a bright red heat, in the presence of

steam, or a current of a foreign gas, in heaps or in special kilns.[38]

[35] There are many other methods of separating calcium from magnesium

besides that mentioned above (Note 22). Among them it will be

sufficient to mention the behaviour of these bases towards a

solution of sugar; hydrated _lime_ is exceedingly _soluble in an

aqueous solution of sugar_, whilst magnesia is but little soluble.

All the lime may be extracted from dolomite by burning it, slaking

the mixture of oxides thus obtained, and adding a 10 p.c. solution

of sugar. Carbonic anhydride precipitates calcium carbonate from

this solution. The addition of sugar (molasses) to the lime used

for building purposes powerfully increases the binding power of

the mortar, as I have myself found. I have been told that in the

East (India, Japan) the addition of sugar to cement has long been

practised.

[36] Moreover Caron obtained an alloy of calcium and zinc by fusing

calcium chloride with zinc and sodium. The zinc distilled from

this alloy at a white heat, leaving calcium behind (Note 50).

[37] Calcium iodide may be prepared by saturating lime with hydriodic

acid. It is a very soluble salt (at 20° one part of the salt

requires 0·49 part and at 43° 0·35 part of water for solution), is

deliquescent in the air, and resembles calcium chloride in many

respects. It changes but little when evaporated, and like calcium

chloride fuses when heated, and therefore all the water may be

driven off by heat. If anhydrous calcium iodide be heated with an

equivalent quantity of sodium in a closely covered iron crucible,

sodium iodide and metallic calcium are formed (Liés-Bodart). Dumas

advises carrying on this reaction in a closed space under

pressure.

[38] Kilns which act either intermittently or continuously are built

for this purpose. Those of the first kind are filled with

alternate layers of fuel and limestone; the fuel is lighted, and

the heat developed by its combustion serves for decomposing the

limestone. When the process is completed the kiln is allowed to

cool somewhat, the lime raked out, and the same process repeated.

In the continuously acting furnaces, constructed like that shown

in fig. 78, the kiln itself only contains limestone, and there are

lateral hearths for burning the fuel, whose flame passes through

the limestone and serves for its decomposition. Such furnaces are

able to work continuously, because the unburnt limestone may be

charged from above and the burnt lime raked out from below. It is

not every limestone that is suitable for the preparation of lime,

because many contain impurities, principally clay, dolomite, and

sand. Such limestones when burnt either fuse partially or give an

impure lime, called _poor_ lime in distinction from that obtained

from purer limestone, which is called _rich_ lime. The latter kind

is characterised by its disintegrating into a fine powder when

treated with water, and is suitable for the majority of uses to

which lime is applied, and for which the poor lime is sometimes

quite unfit. However, certain kinds of poor lime (as we shall see

in Chapter XVIII., Note 25) are used in the preparation of

hydraulic cements, which solidify into a hard mass under water.

In order to obtain perfectly pure lime it is necessary to take the

purest possible materials. In the laboratory, marble or shells are

used for this purpose as a pure form of calcium carbonate. They

are first burnt in a furnace, then put in a crucible and moistened

with a small quantity of water, and finally strongly ignited, by

which means a pure lime is obtained. Pure lime may be more rapidly

prepared by taking calcium nitrate, CaN_{2}O_{6}, which is easily

obtained by dissolving limestone in nitric acid. The solution

obtained is boiled with a small quantity of lime in order to

precipitate the foreign oxides which are insoluble in water. The

oxides of iron, aluminium, &c., are precipitated by this means.

The salt is then crystallised and ignited: CaN_{2}O_{6} = CaO +

2NO_{2} + O.

In the decomposition of calcium carbonate the lime preserves the

form of the lumps subjected to ignition; this is one of the signs

distinguishing quicklime when it is freshly burnt and unaltered by

air. It attracts moisture from the air and then disintegrates to a

powder; if left long exposed in the air, it also attracts carbonic

anhydride and increases in volume; it does not entirely pass into

carbonate, but forms a compound of the latter with caustic lime.

[Illustration: FIG. 78.--Continually-acting kiln for burning lime. The

lime is charged from above and calcined by four lateral grates, R, M. D,

fire-bars. B, space for withdrawing the burnt lime. K, stoke-house. M.

fire grate. Q, R, under-grate.]

Calcium oxide--that is, quicklime--is a substance (sp. gr. 3·15) which

is unaffected by heat,[39] and may therefore serve as a fire-resisting

material, and was employed by Deville for the construction of furnaces in

which platinum was melted, and silver volatilised by the action of the

heat evolved by the combustion of detonating gas. The hydrated lime,

slaked lime, or calcium hydroxide, CaH_{2}O_{2} (specific gravity 2·07)

is a most common alkaline substance, employed largely in building for

making mortars or cements, in which case its binding property is mainly

due to the absorption of carbonic anhydride.[40] Lime, like other

alkalis, acts on many animal and vegetable substances, and for this

reason has many practical uses--for example, for removing fats, and in

agriculture for accelerating the decomposition of organic substances in

the so-called _composts_ or accumulations of vegetable and animal remains

used for fertilising land. Calcium hydroxide easily loses its water at a

moderate heat (530°), but it does not part with water at 100°. When mixed

with water, lime forms a pasty mass known as _slaked lime_ and in a more

dilute form as _milk of lime_, because when shaken up in water it remains

suspended in it for a long time and presents the appearance of a milky

liquid. But, besides this, lime is directly soluble in water, not to any

considerable extent, but still in such a quantity that _lime water_ is

precipitated by carbonic anhydride, and has clearly distinguishable

alkaline properties. One part of lime requires at the ordinary

temperature about 800 parts of water for solution. At 100° it requires

about 1500 parts of water, and therefore lime-water becomes cloudy when

boiled. If lime-water be evaporated in a vacuum, calcium hydroxide

separates in six-sided crystals.[41] If lime-water be mixed with hydrogen

peroxide minute crystals of _calcium peroxide_, CaO_{2},8H_{2}O,

separate; this compound is very unstable and, like barium peroxide, is

decomposed by heat. Lime, as a powerful base, combines with all acids,

and in this respect presents a transition from the true alkalis to

magnesia. Many of the salts of calcium (the carbonate, phosphate,

borate, and oxalate) are insoluble in water; besides which the sulphate

is only sparingly soluble. As a more energetic base than magnesia, lime

forms salts, CaX_{2}, which are distinguished by their stability in

comparison with the salts MgX_{2}; neither does lime so easily form basic

and double salts as magnesia.

[39] Lime, when raised to a white heat in the vapour of potassium,

gives calcium, and in chlorine it gives off oxygen. Sulphur,

phosphorus, &c., when heated with lime, are absorbed by it.

[40] The greater quantity of lime is used in making mortar for binding

bricks or stones together, in the form of _lime_ or _cement_, or

the so-called _slaked lime_. For this purpose the lime is mixed

with water and sand, which serves to separate the particles of

lime from each other. If only lime paste were put between two

bricks they would not hold firmly together, because after the

water had evaporated the lime would occupy a smaller space than

before, and therefore cracks and powder would form in its mass, so

that it would not at all produce that complete cementation of the

bricks which it is desired to attain. Pieces of stone--that is,

sand--mixed with the lime hinder this process of disintegration,

because the lime binds together the individual grains of sand

mixed with it, and forms one concrete mass, in consequence of a

process which proceeds after the desiccation or removal of the

water. The process of the solidification of lime, taken as slaked

lime, consists first in the direct evaporation of the water and

crystallisation of the hydrate, so that the lime binds the stones

and sand mixed with it, just as glue binds two pieces of wood. But

this preliminary binding action of lime is feeble (as is seen by

direct experiment) unless there be further alteration of the lime

leading to the formation of carbonates, silicates, and other salts

of calcium which are distinguished by their great cohesiveness.

With the progress of time the cement is partially subjected to the

action of the carbonic anhydride in the air, owing to which

calcium carbonate is formed, but not more than half the lime is

thus converted into carbonate. Besides which, the lime partially

acts on the silica of the bricks, and it is owing to these new

combinations simultaneously forming in the cement that it

gradually becomes stronger and stronger. Hence the binding action

of the lime becomes stronger with the lapse of time. This is the

reason (and not, as is sometimes said, because the ancients knew

how to build stronger than we do) why buildings which have stood

for centuries possess a very strongly binding cement. Hydraulic

cements will be described later (Chapter XVIII., Note 25).

[41] Professor Glinka measured the transparent bright crystals of

calcium hydroxide which are formed in common hydraulic (Portland)

cement.

Anhydrous lime does not absorb dry carbonic anhydride at the ordinary

temperature. This was already known by Scheele, and Prof. Schuliachenko

showed that there is no absorption even at 360°. It only proceeds at a

red heat,[42] and then only leads to the formation of a mixture of

calcium oxide and carbonate (Rose). But if the lime be slaked or

dissolved, the absorption of carbonic anhydride proceeds rapidly and

completely. These phenomena are connected with the _dissociation of

calcium carbonate_, studied by Debray (1867) under the influence of the

conceptions of dissociation introduced into science by Henri Saint-Claire

Deville. Just as there is no vapour tension for non-volatile substances,

so there is no dissociation tension of carbonic anhydride for calcium

carbonate at the ordinary temperature. Just as every volatile substance

has a maximum possible vapour tension for every temperature, so also

calcium carbonate has its corresponding _dissociation tension_; this at

770° (the boiling point of cadmium) is about 85 mm. (of the mercury

column), and at 930° (the boiling point of Zn) it is about 520 mm. As, if

the tension be greater, there will be no evaporation, so also there will

he no decomposition. Debray took crystals of calc spar, and could not

observe the least change in them at the boiling point of zinc (930°) in

an atmosphere of carbonic anhydride taken at the atmospheric pressure

(760 mm.), whilst on the other hand calcium carbonate may be completely

decomposed at a much lower temperature if the tension of the carbonic

anhydride be kept below the dissociation tension, which may be done

either by directly pumping away the gas with an air-pump, or by mixing it

with some other gas--that is, by diminishing the partial pressure of the

carbonic anhydride,[43] just as an object may be dried at the ordinary

temperature by removing the aqueous vapour or by carrying it off in a

stream of another gas. Thus it is possible to obtain calcium carbonate

from lime and carbonic anhydride at a certain temperature above that at

which dissociation begins, and conversely to decompose calcium carbonate

at the same temperature into lime and carbonic anhydride.[44] At the

ordinary temperature the reaction of the first order (combination) cannot

proceed because the second (decomposition, dissociation) cannot take

place, and thus all the most important phenomena with respect to the

behaviour of lime towards carbonic anhydride are explained by starting

from one common basis.[45]

[42] The act of heating brings the substance into that state of

internal motion which is required for reaction. It should be

considered that by the act of heating not only is the bond between

the parts, or cohesion of the molecules, altered (generally

diminished), not only is the motion or store of energy of the

whole molecule increased, but also that in all probability the

motion of the atoms themselves in molecules undergoes a change.

The same kind of change is accomplished by the act of solution, or

of combination in general, judging from the fact that a dissolved

or combined substance--for instance, lime with water--reacts on

carbonic anhydride as it does under the action of heat. For the

comprehension of chemical phenomena it is exceedingly useful to

recognise clearly this parallelism. Rose's observation on the

formation (by the slow diffusion of solutions of calcium chloride

and sodium carbonate) of aragonite from dilute, and of calc spar

from strong, solutions is easily understood from this point of

view. As aragonite is always formed from hot solutions, it appears

that dilution with water acts like heat. The following experiment

of Kühlmann is particularly instructive in this sense. Anhydrous

(perfectly dry) barium oxide does not react with monohydrated

sulphuric acid, H_{2}SO_{4} (containing neither free water nor

anhydride, SO_{3}). But if either an incandescent object or a

moist substance is brought into contact with the mixture a violent

reaction immediately begins (it is essentially the same as

combustion), and the whole mass reacts.

The influence of solution on the process of reaction is

instructively illustrated by the following experiment. Lime, or

barium oxide, is placed in a flask or retort having an upper

orifice and connected with a tube immersed in mercury. A funnel

furnished with a stopcock and filled with water is fixed into the

upper orifice of the retort, which is then filled with dry

carbonic anhydride. There is no absorption. When a constant

temperature is arrived at, the unslaked oxide is made to absorb

all the carbonic anhydride by carefully admitting water. A vacuum

is formed, as is seen by the mercury rising in the neck of the

retort. With water the absorption goes on to the end, whilst under

the action of heat there remains the dissociating tension of the

carbonic anhydride. Furthermore, we here see that, with a certain

resemblance, there is also a distinction, depending on the fact

that at low temperatures calcium carbonate does not dissociate;

this determines the complete absorption of the carbonic anhydride

in the aqueous solution.

[43] Experience has shown that by moistening partially-burnt lime with

water and reheating it, it is easy to drive off the last traces of

carbonic anhydride from it, and that, in general, by blowing air

or steam through the lime, and even by using moist fuel, it is

possible to accelerate the decomposition of the calcium carbonate.

The partial pressure is decreased by these means.

[44] Before the introduction of Deville's theory of dissociation, the

_modus operandi_ of decompositions like that under consideration

was understood in the sense that decomposition starts at a certain

temperature, and that it is accelerated by a rise of temperature,

but it was not considered possible that combination could proceed

at the same temperature as that at which decomposition goes on.

Berthollet and Deville introduced the conception of equilibrium

into chemical science, and elucidated the question of reversible

reactions. Naturally the subject is still far from being

clear--the questions of the rate and completeness of reaction, of

contact, &c., still intrude themselves--but an important step has

been made in chemical mechanics, and we have started on a new path

which promises further progress, towards which much has been done

not only by Deville himself, but more especially by the French

chemists Debray, Troost, Lemoine, Hautefeuille, Le Chatelier, and

others. Among other things those investigators have shown the

close resemblance between the phenomena of evaporation and

dissociation, and pointed out that the amount of heat absorbed by

a dissociating substance may be calculated according to the law of

the variation of dissociation-pressure, in exactly the same manner

as it is possible to calculate the latent heat of the evaporation

of water, knowing the variation of the tension with the

temperature, on the basis of the second law of the mechanical

theory of heat. Details of this subject must be looked for in

special works on physical chemistry. _One and the same conception_

of the mechanical theory of heat _is applicable to dissociation_

and _evaporation_.

[45] But the question as to the formation of a basic calcium carbonate

with a rise of temperature still remains undecided. The presence

of water complicates all the relations between lime and carbonic

anhydride, all the more as the existence of an attraction between

calcium carbonate and water is seen from its being able to give a

_crystallo-hydrate_, CaCO_{3},5H_{2}O (Pelouze), which

crystallises in rhombic prisms of sp. gr. about 1·77 and loses its

water at 20°. These crystals are obtained when a solution of lime

in sugar and water is left long exposed to the air and slowly

attracts carbonic anhydride from it, and also by the evaporation

of such a solution at a temperature of about 3°. On the other

band, it is probable that an _acid salt_, CaH_{2}(CO_{3})_{2}, is

formed in an aqueous solution, not only because water containing

carbonic acid dissolves calcium carbonate, but more especially in

view of the researches of Schloesing (1872), which showed that at

16° a litre of water in an atmosphere of carbonic anhydride

(pressure 0·984 atmosphere) dissolves 1·086 gram of calcium

carbonate and 1·778 gram of carbonic anhydride, which corresponds

with the formation of calcium hydrogen carbonate, and the solution

of carbonic anhydride in the remaining water. Caro showed that a

litre of water is able to dissolve as much as 3 grams of calcium

carbonate if the pressure be increased to 4 and more atmospheres.

The calcium carbonate is precipitated when the carbonic anhydride

passes off in the air or in a current of another gas; this also

takes place in many natural springs. Tufa, stalactites, and other

like formations from waters containing calcium carbonate and

carbonic acid in solution are formed in this manner. The

solubility of calcium carbonate itself at the ordinary temperature

does not exceed 13 milligrams per litre of water.

_Calcium carbonate_, CaCO_{3}, is sometimes met with in nature in a

crystalline form, and it forms an example of the phenomenon termed

_dimorphism_--that is, it appears in two crystalline forms. When it

exhibits combinations of forms belonging to the hexagonal system

(six-sided prisms, rhombohedra, &c.) it is called _calc spar_. Calc spar

has a specific gravity of 2·7, and is further characterised by a distinct

cleavage along the planes of the fundamental rhombohedron having an angle

of 105°. Perfectly transparent Iceland spar presents a clear example of

double refraction (for which reason it is frequently employed in physical

apparatus). The other form of calcium carbonate occurs in crystals

belonging to the rhombic system, and it is then called _aragonite_; its

specific gravity is 3·0. If calcium carbonate be artificially produced by

slow crystallisation at the ordinary temperature, it appears in the

rhombohedral form, but if the crystallisation be aided by heat it then

appears as aragonite. It may therefore be supposed that calc spar

presents the form corresponding with a low temperature, and aragonite

with a higher temperature during crystallisation.[46]

[46] Dimorphous bodies differ from true isomers and polymers in that

they do not differ in their chemical reactions, which are

determined by a difference in the distribution (motion) of the

atoms in the molecules, and therefore dimorphism is usually

ascribed to a difference in the distribution of similar molecules,

building up a crystal. Although such a hypothesis is quite

admissible in the spirit of the atomic and molecular theory, yet,

as in such a redistribution of the molecules a perfect

conservation of the distribution of the atoms in them cannot be

imagined, and in every effort of chemical reaction there must take

place a certain motion among the atoms; so in my opinion there is

no firm basis for distinguishing dimorphism from the general

conception of isomerism, under which the cases of those organic

bodies which are dextro and lævo rotatory (with respect to

polarised light) have recently been brought with such brilliant

success. When calcium carbonate separates out from solutions, it

has at first a gelatinous appearance, which leads to the

supposition that this salt appears in a colloidal state. It only

crystallises with the progress of time. The colloidal state of

calcium carbonate is particularly clear from the following

observations made by Prof. Famintzin, who showed that when it

separates from solutions it is obtained under certain conditions

in the form of grains having the peculiar paste-like structure

proper to starch, which fact has not only an independent interest,

but presents an example of a mineral substance being obtained in a

form until then only known in the organic substances elaborated in

plants. This shows that the forms (cells, vessels, &c.) in which

vegetable and animal substances occur in organisms do not present

in themselves anything peculiar to organisms, but are only the

result of those particular conditions in which these substances

are formed. Traube and afterwards Monnier and Vogt (1882) obtained

formations which, under the microscope, were in every respect

identical in appearance with vegetable cells, by means of a

similar slow formation of precipitates (by reacting on sulphates

of different metals with sodium silicate or carbonate).

_Calcium sulphate_ in combination with two equivalents of water,

CaSO_{4},2H_{2}O, is very widely distributed in nature, and is known as

_gypsum_. Gypsum loses one and a half and two equivalents of water at a

moderate temperature,[47] and anhydrous or burnt gypsum is then obtained,

which is also known as plaster of Paris, and is employed in large

quantities for modelling.[48] This use depends on the fact that burnt and

finely-divided and sifted gypsum forms a paste when mixed with water;

after a certain time this paste becomes slightly heated and solidifies,

owing to the fact that the anhydrous calcium sulphate, CaSO_{4}, again

combines with water. When the plaster of Paris and water are first made

into a paste they form a mechanical mixture, but when the mass

solidifies, then a compound of the calcium sulphate with two molecules of

water is produced; and this may be regarded as derived from S(OH)_{6} by

the substitution of two atoms of hydrogen by one atom of bivalent

calcium. Natural gypsum sometimes appears as perfectly colourless, or

variegated, marble-like, masses, and sometimes in perfectly colourless

crystals, _selenite_, of specific gravity 2·33. The semi-transparent

gypsum, or _alabaster_, is often carved into small statues. Besides

which an anhydrous calcium sulphate, CaSO_{4}, called _anhydrite_

(specific gravity 2·97), occurs in nature. It sometimes occurs along with

gypsum. It is no longer capable of combining directly with water, and

differs in this respect from the anhydrous salt obtained by gently

igniting gypsum. If gypsum be very strongly heated it shrinks and loses

its power of combining with water.[48 bis] One part of calcium sulphate

requires at 0° 525 parts of water for solution, at 38° 466 parts, and at

100° 571 parts of water. The maximum solubility of gypsum is at about

36°, which is nearly the same temperature as that at which sodium

sulphate is most soluble.[49]

[47] According to Le Chatelier (1888), 1-1/2H_{2}O is lost at

120°--that is, H_{2}O,2CaSO_{4} is formed, but at 194° all the

water is expelled. According to Shenstone and Cundall (1888)

gypsum begins to lose water at 70° in dry air. The semi-hydrated

compound H_{2}O,2CaSO_{4} is also formed when gypsum is heated

with water in a closed vessel at 150° (Hoppe-Seyler).

[48] For stucco-work it is usual to add lime and sand, as the mass is

then harder and does not solidify so quickly. For imitating

marble, glue is added to the plaster, and the mass is polished

when thoroughly dry. Re-burnt gypsum cannot be used over again, as

that which has once solidified is, like the natural anhydride, not

able to recombine with water. It is evident that the structure of

the molecules in the crystallised mass, or in general in any dense

mass, exerts an influence on the chemical action, which is more

particularly evident in metals in their different forms (powder,

crystalline, rolled, &c.)

[48 bis] According to MacColeb, gypsum dehydrated at 200° has a

specific gravity 2·577, and heated to its point of fusion, 2·654.

Potilitzin (1894) also admits the two above-named modifications of

anhydrous gypsum, which, moreover, always contain the

semi-hydrated hydrate (Note 47), and he explains by their relation

to water the phenomena observed in the solidification of a mixture

of burnt gypsum and water.

[49] As Marignac showed, gypsum, especially when desiccated at 120°,

easily gives supersaturated solutions with respect to

CaSO_{4},2H_{2}O, which contain as much as 1 part of CaSO_{4} to

110 parts of water. Boiling dilute hydrochloric acid dissolves

gypsum, forming calcium chloride. The behaviour of gypsum towards

the alkaline carbonates has been described in Chapter X. Alcohol

precipitates gypsum from its aqueous solutions, because, like the

sulphates in general, it is sparingly soluble in alcohol. Gypsum,

like all the sulphates, when heated with charcoal, gives up its

oxygen, forming the sulphide, CaS.

Calcium ulphate, like magnesium sulphate, is capable of forming

double salts, but with difficulty, and they are chemically less

stable. They contain, as is always the case with double salts,

less water of crystallisation than the component salts. Rose,

Struvé, and others obtained the salt CaK_{2}(SO_{4})_{2},H_{2}O; a

mixture of gypsum with an equivalent amount of potassium sulphate

and water solidifies into a homogeneous mass. Fritzsche obtained

the corresponding sodium salt in a hydrated and anhydrous state,

by heating a mixture of gypsum with a saturated solution of sodium

sulphate. The anhydrous salt occurs in nature as _glauberite_.

Fritzsche also obtained _gaylussite_,

Na_{2}Ca(CO_{3})_{2},5H_{2}O, by pouring a saturated solution of

sodium carbonate on to freshly-precipitated calcium carbonate.

Calcium also forms basic salts, but only a few. Veeren (1892)

obtained Ca(NO_{3})_{2}Ca(OH)_{2},2-1/2H_{2}O by leaving powdered

caustic lime in a saturated solution of Ca(NO_{3})_{2} until it

solidified. This salt is decomposed by water.

As lime is a more energetic base than magnesia, so _calcium chloride_,

CaCl_{2}, is not so easily decomposed by water, and its solutions only

disengage a small quantity of hydrochloric acid when evaporated, and when

the evaporation is conducted in a stream of hydrochloric acid it easily

gives an anhydrous salt which fuses at 719°; otherwise an aqueous

solution yields a crystallo-hydrate, CaCl_{2},6H_{2}O, which melts at

30°.[50]

[50] Calcium chloride has a specific gravity 2·20, or, when fused,

2·12, and the sp. gr. of the crystallised salt CaCl_{2},6H_{2}O is

1·69. If the volume of the crystals at 0° = 1, then at 29° it is

1·020, and the volume of the fused mass at the same temperature is

1·118 (Kopp) (specific gravity of solutions, _see_ Note 27). The

solution containing 50 p.c. CaCl_{2} boils at 130°, 70 p.c. at

158°. Superheated steam decomposes calcium chloride with more

difficulty than magnesium chloride and with greater ease than

barium chloride (Kuhnheim). Sodium does not decompose fused

calcium chloride even on prolonged heating (Liés-Bodart), but an

alloy of sodium with zinc, lead, and bismuth decomposes it,

forming an alloy of calcium with one of the above-named metals

(Caron). The zinc alloy may be obtained with as much as 15 p.c. of

calcium. Calcium chloride is soluble in alcohol and absorbs

ammonia.

A gram molecular weight of calcium chloride in dissolving in an

excess of water evolves 18,723 calories, and in dissolving in

alcohol 17,555 units of heat, according to Pickering.

Roozeboom made detailed researches on the crystallo-hydrates of

calcium chloride (1889), and found that CaCl_{2},6H_{2}O melts at

30·2°, and is formed at low temperatures from solutions containing

not more than 103 parts of calcium chloride per 100 parts of

water; if the amount of salt (always to 100 parts of water)

reaches 120 parts, then tabular crystals of

CaCl_{2},4H_{2}O[Greek: b] are formed, which at temperatures above

38·4° are converted into the crystallo-hydrates CaCl_{2},2H_{2}O,

whilst at temperatures below 18° the [Greek: b] variety passes

into the more stable CaCl_{2},4H_{2}O[Greek: a], which process is

aided by mechanical friction. Hence, as is the case with magnesium

sulphate (Note 27), one and the same crystallo-hydrate appears in

two forms--the [Greek: b], which is easily produced but is

unstable, and the [Greek: a], which is stable. The solubility of

the above-mentioned hydrates of chloride of calcium, or amount of

calcium chloride per 100 parts of water, is as follows:--

0° 20° 30° 40° 60°

CaCl_{2},6H_{2}O 60 75 100 (102·8)

CaCl_{2},4H_{2}O[Greek: a] -- 90 101 117} (154·2)

CaCl_{2},4H_{2}O[Greek: b] -- 104 114 --}

CaCl_{2},2H_{2}O -- -- (308·3) 128 137

The amount of calcium chloride to 100 parts of water in the

crystallo-hydrate is given in brackets. The point of intersection

of the curves of solubility lies at about 30° for the first two

salts and about 45° for the salts with 4H_{2}O and 2H_{2}O. The

crystals CaCl_{2},2H_{2}O may, however, be obtained (Ditte) at the

ordinary temperature from solutions containing hydrochloric acid.

The vapour tension of this crystallo-hydrate equals the

atmospheric at 165°, and therefore the crystals may be dried in an

atmosphere of steam and obtained without a mother liquor, whose

vapour tension is greater. This crystallo-hydrate decomposes at

about 175° into CaCl_{2},H_{2}O and a solution; this is easily

brought about in a closed vessel when the pressure is greater than

the atmosphere. This crystallo-hydrate is destroyed at

temperatures above 260°, anhydrous calcium chloride being formed.

Neglecting the unstable modification CaCl_{2},4H_{2}O[Greek: b],

we will give the temperatures _t_ at which the passage of one

hydrate into another takes place and at which the solution

CaCl_{2} + _n_H_{2}O, the two solids A and B and aqueous vapour,

whose tension is given as _p_ in millimetres, are able to exist

together in stable equilibrium, according to Roozeboom's

determinations:

_t_ _n_ A B _p_

-55° 14·5 ice CaCl_{2},6H_{2}O 0

+29·8° 6·1 CaCl_{2},6H_{2}O CaCl_{2},4H_{2}O 6·8

45·3° 4·7 CaCl_{2},4H_{2}O CaCl_{2},2H_{2}O 11·8

175·5° 2·1 CaCl_{2},2H_{2}O CaCl_{2},H_{2}O 842

260° 1·8 CaCl_{2},H_{2}O CaCl_{2} Several

atmospheres

Solutions of calcium chloride may serve as a convenient example

for the study of the supersaturated state, which in this case

easily occurs, because different hydrates are formed. Thus at 25°

solutions containing more than 83 parts of anhydrous calcium

chloride per 100 of water will be supersaturated for the hydrate

CaCl_{2},6H_{2}O.

On the other hand, Hammerl showed that solutions of calcium

chloride, when frozen, deposit ice if they contain less than 43

parts of salt per 100 of water, and if more the crystallo-hydrate

CaCl_{2},6H_{2}O separates, and that a solution of the above

composition (CaCl_{2},14H_{2}O requires 44·0 parts calcium

chloride per 100 of water) solidifies as a cryohydrate at

about -55°.

Just as for potassium, K = 39 (and sodium, Na = 23), there are the near

analogues, Rb = 85 and Cs = 133, and also another, Li = 7, so in exactly

the same manner for calcium, Ca = 40 (and magnesium, Mg = 24), there is

another analogue of lighter atomic weight, beryllium, Be = 9, besides the

near analogues strontium, Sr = 87, and barium, Ba = 137. As rubidium and

cæsium are more rarely met with in nature than potassium, so also

strontium and barium are rarer than calcium (in the same way that bromine

and iodine are rarer than chlorine). Since they exhibit many points of

resemblance with calcium, strontium and barium may be characterised after

a very short acquaintance with their chief compounds; this shows the

important advantages gained by distributing the elements according to

their natural groups, to which matter we shall turn our attention in the

next chapter.

Among the compounds of barium met with in nature the commonest is the

_sulphate_, BaSO_{4}, which forms anhydrous crystals of the rhombic

system, which are identical in their crystalline form with anhydrite,

and generally occur as transparent and semi-transparent masses of

tabular crystals having a high specific gravity, namely 4·45, for which

reason this salt bears the name of _heavy spar_ or _barytes_. Analogous

to it is _celestine_, SrSO_{4}, which is, however, more rarely met with.

Heavy spar frequently forms the gangue separated on dressing metallic

ores from the vein stuff; this mineral is the source of all other barium

compounds; for the carbonate, although more easily transformed into the

other compounds (because acids act directly on it, evolving carbonic

anhydride), is a comparatively rare mineral (BaCO_{3} forms the mineral

_witherite_; SrCO_{3}, _strontianite_; both are rare, the latter is

found at Etna). The treatment of barium sulphate is rendered difficult

from the fact that it is insoluble both in water and acids, and has

therefore to be treated by a method of reduction.[51] Like sodium

sulphate and calcium sulphate, heavy spar when heated with charcoal

parts with its oxygen and forms barium sulphide, BaS. For this purpose a

pasty mixture of powdered heavy spar, charcoal, and tar is subjected to

the action of a strong heat, when BaSO_{4} + 4C = BaS + 4CO. The residue

is then treated with water, in which the barium sulphide is soluble.[52]

When boiled with hydrochloric acid, barium chloride, BaCl_{2},

is obtained in solution, and the sulphur is disengaged as gaseous

sulphuretted hydrogen, BaS + 2HCl = BaCl_{2} + H_{2}S. In this manner

barium sulphate is converted into barium chloride,[53] and the latter

by double decomposition with strong nitric acid or nitre gives the less

soluble barium nitrate, Ba(NO_{3})_{2},[54] or with sodium carbonate a

precipitate of barium carbonate, BaCO_{3}. Both these salts are able to

give _barium oxide_, or _baryta_, BaO, and the hydroxide, Ba(HO)_{2},

which differs from lime by its great solubility in water,[55] and by the

ease with which it forms a crystallo-hydrate, BaH_{2}O_{2},8H_{2}O, from

its solutions. Owing to its solubility, baryta is frequently employed

in manufactures and in practical chemistry as an alkali which has the

very important property that it may be always entirely removed from

solution by the addition of sulphuric acid, which entirely separates

it as the insoluble barium sulphate, BaSO_{4}. It may also be removed

whilst it remains in an alkaline state (for example, the excess which

may remain when it is used for saturating acids) by means of carbonic

anhydride, which also completely precipitates baryta as a sparingly

soluble, colourless, and powdery carbonate. Both these reactions show

that baryta has such properties as would very greatly extend its use

were its compounds as widely distributed as those of sodium and calcium,

and were its soluble compounds not poisonous. Barium nitrate is directly

decomposed by the action of heat, barium oxide being left behind. The

same takes place with barium carbonate, especially that form of it

precipitated from solutions, and when mixed with charcoal or ignited

in an atmosphere of steam. Barium oxide combines with water with the

development of a large amount of heat, and the resultant hydroxide is

very stable in its retention of the water, although it parts with it

when strongly ignited.[55 bis] With oxygen the anhydrous oxide gives, as

already mentioned in Chapters III. and IV., a _peroxide_, BaO_{2}.[56]

Neither calcium nor strontium oxides are able to give such a peroxide

directly, but they form peroxides under the action of hydrogen peroxide.

[51] The action of barium sulphate on sodium and potassium carbonates

is given on p. 437.

[52] Barium sulphide is decomposed by water, BaS + 2H_{2}O = H_{2}S

+ Ba(OH)_{2} (the reaction is reversible), but both substances are

soluble in water, and their separation is complicated by the fact

that barium sulphide absorbs oxygen and gives insoluble barium

sulphate. The hydrogen sulphide is sometimes removed from the

solution by boiling with the oxides of copper or zinc. If sugar be

added to a solution of barium sulphide, barium saccharate is

precipitated on heating; it is decomposed by carbonic anhydride,

so that barium carbonate is formed. An equivalent mixture of

sodium sulphate with barium or strontium sulphates when ignited

with charcoal gives a mixture of sodium sulphide and barium or

strontium sulphide, and if this mixture be dissolved in water and

the solution evaporated, barium or strontium hydroxide

crystallises out on cooling, and sodium hydrosulphide, NaHS, is

obtained in solution. The hydroxides BaH_{2}O_{2} and SrH_{2}O_{2}

are prepared on a large scale, being applied to many reactions;

for example, strontium hydroxide is prepared for sugar works for

extracting crystallisable sugar from molasses.

We may remark that Boussingault, by igniting barium sulphate in

hydrochloric acid gas, obtained a complete decomposition, with the

formation of barium chloride. Attention should also be turned to

the fact that Grouven, by beating a mixture of charcoal and

strontium sulphate with magnesium and potassium sulphates, showed

the easy decomposability depending on the formation of double

salts, such as SrS,K_{2}S, which are easily soluble in water, and

give a precipitate of strontium carbonate with carbonic anhydride.

In such examples as these we see that the force which binds double

salts may play a part in directing the course of reactions, and

the number of double salts of silica on the earth's surface shows

that nature takes advantage of these forces in her chemical

processes. It is worthy of remark that Buchner (1893), by mixing a

40 per cent. solution of barium acetate with a 60 per cent.

solution of sulphate of alumina, obtained a thick glutinous mass,

which only gave a precipitate of BaSO_{4} after being diluted with

water.

[53] Barium sulphate is sometimes converted into barium chloride in the

following manner: finely-ground barium sulphate is heated with

coal and manganese chloride (the residue from the manufacture of

chlorine). The mass becomes semi-liquid, and when it evolves

carbonic oxide the heating is stopped. The following double

decompositions proceed during this operation: first the carbon

takes up the oxygen from the barium sulphate, and gives sulphide,

BaS, which enters into double decomposition with the chloride of

manganese, MnCl_{2}, forming manganese sulphide, MnS, which is

insoluble in water, and soluble barium chloride. This solution is

easily obtained pure because many foreign impurities, such as

iron, remain in the insoluble portion with the manganese. The

solution of barium chloride is chiefly used for the preparation of

barium sulphate, which is precipitated by sulphuric acid, by which

means _barium sulphate_ is re-formed as a powder. This salt is

characterised by the fact that it is unacted on by the majority of

chemical reagents, is insoluble in water, and is not dissolved by

acids. Owing to this, artificial barium sulphate forms a permanent

white paint which is used instead of (and mixed with) white lead,

and has been termed 'blanc fixé' or 'permanent white.'

The solution of one part of calcium chloride at 20° requires 1·36

part of water, the solution of one part of strontium chloride

requires 1·88 part of water at the same temperature, and the

solution of barium chloride 2·88 parts of water. The solubility of

the bromides and iodides varies in the same proportion. The

chlorides of barium and strontium crystallise out from solution

with great ease in combination with water; they form

BaCl_{2},2H_{2}O and SrCl_{2},6H_{2}O. The latter (which separates

out at 40°) resembles the salts of Ca and Mg in composition, and

Étard (1892) obtained SrCl_{2},2H_{2}O from solutions at 90-130°.

We may also observe that the crystallo-hydrates BaBr_{2},H_{2}O

and BaI_{2},7H_{2}O are known.

[54] The nitrates Sr(NO_{3})_{2} (in the cold its solutions give a

crystallo-hydrate containing 4H_{2}O) and Ba(NO_{3})_{2} are so

very sparingly soluble in water that they separate in considerable

quantities when a solution of sodium nitrate is added to a strong

solution of either barium or strontium chloride. They are obtained

by the action of nitric acid on the carbonates or oxides. 100

parts of water at 15° dissolve 6·5 parts of strontium nitrate and

8·2 parts of barium nitrate, whilst more than 300 parts of calcium

nitrate are soluble at the same temperature. Strontium nitrate

communicates a crimson coloration to the flame of burning

substances, and is therefore frequently used for Bengal fire,

fireworks, and signal lights, for which purpose the salts of

lithium are still better fitted. Calcium nitrate is exceedingly

hygroscopic. Barium nitrate, on the contrary, does not show this

property in the least degree, and in this respect it resembles

potassium nitrate, and is therefore used instead of the latter for

the preparation of a gunpowder which is called 'saxifragin powder'

(76 parts of barium nitrate, 2 parts of nitre, and 22 parts of

charcoal).

[55] The dissociation of the crystallo-hydrate of baryta is given in

Chapter I., Note 65. 100 parts of water dissolve

0° 20° 40° 60° 80°

BaO 1·5 3·5 7·4 18·8 90·8

SrO 0·3 0·7 1·4 3 9

Supersaturated solutions are easily formed.

The anhydrous oxide BaO fuses in the oxyhydrogen flame. When

ignited in the vapour of potassium, the latter takes up the

oxygen; whilst in chlorine, oxygen is separated and barium

chloride formed.

[55 bis] Brugellmann, by heating BaH_{2}O_{2} in a graphite or clay

crucible, obtained BaO in needles, sp. gr. 5·32, and by heating in

a platinum crucible--in crystals belonging to the cubical system,

sp. gr. 5·74. SrO is obtained in the latter form from the nitrate.

The following are the specific gravities of the oxides from

different sources:--

MgO CaO SrO

from RN_{2}O_{6} 3·38 3·25 4·75

" RCO_{3} 3·48 3·26 4·45

" RH_{2}O_{2} 3·41 3·25 4·57

[56] The property of barium oxide of absorbing oxygen when heated, and

giving the peroxide, BaO_{2}, is very characteristic for this

oxide (_see_ Chapter III., Note 7). It only belongs to the

anhydrous oxide. The hydroxide does not absorb oxygen. Peroxides

of calcium and strontium may be obtained by means of hydrogen

peroxide. Barium peroxide is insoluble in water, but is able to

form a hydrate with it, and also to combine with hydrogen

peroxide, forming a very unstable compound having the composition

BaH_{2}O_{4} (obtained by Professor Schöne), which in course of

time evolves oxygen (Chapter IV., Note 21).

Barium oxide is decomposed when heated with potassium; fused barium

chloride is decomposed, as Davy showed, by the action of a galvanic

current, forming metallic _barium_; and Crookes (1862) obtained an

amalgam of barium from which the mercury could easily be driven off,

by heating sodium amalgam in a saturated solution of barium chloride.

Strontium is obtained by the same processes. Both metals are soluble in

mercury, and seem to be non-volatile or only very slightly volatile.

They are both heavier than water; the specific gravity of barium is

3·6, and of strontium 2·5. They both decompose water at the ordinary

temperature, like the metals of the alkalis.

Barium and strontium as saline elements are characterised by their

powerful basic properties, so that they form acid salts with difficulty,

and scarcely form basic salts. On comparing them together and with

calcium, it is evident that the alkaline properties in this group (as

in the group potassium, rubidium, cæsium) increase with the atomic

weight, and this succession clearly shows itself in many of their

corresponding compounds. Thus, for instance, the solubility of the

hydroxides RH_{2}O_{2} and the specific gravity[57] rise in passing from

calcium to strontium and barium, while the solubility of the sulphates

decreases,[58] and therefore in the case of magnesium and beryllium,

as metals whose atomic weights are still less, we should expect the

solubility of the sulphates to be greater, and this is in reality the

case.

[57] Even in solutions a gradual progression in the increase of the

specific gravity shows itself, not only for equivalent solutions

(for instance, RCl_{2} + 200H_{2}O), but even with an equal

percentage composition, as is seen from the curves giving the

specific gravity (water 4° = 10,000) at 15° (for barium chloride,

according to Bourdiakoff's determinations):

BeCl_{2} : S = 9,992 + 67·21_p_ + 0·111_p_^2

CaCl_{2} : S = 9,992 + 80·24_p_ + 0·476_p_^2

SrCl_{2} : S = 9,992 + 85·57_p_ + 0·733_p_^2

BaCl_{2} : S = 9,992 + 86·56_p_ + 0·813_p_^2

[58] One part of calcium sulphate at the ordinary temperature requires

about 500 parts of water for solution, strontium sulphate about

7,000 parts, barium sulphate about 400,000 parts, whilst beryllium

sulphate is easily soluble in water.

Just as in the series of the alkali metals we saw the metals potassium,

rubidium, and cæsium approaching near to each other in their properties,

and allied to them two metals having smaller combining weights--namely,

sodium, and the lightest of all, lithium, which all exhibited certain

peculiar characteristic properties--so also in the case of the metals

of the alkaline earths we find, besides calcium, barium, and strontium,

the metal magnesium and also _beryllium_ or _glucinum_. In respect

to the magnitude of its atomic weight, this last occupies the same

position in the series of the metals of the alkaline earths as lithium

does in the series of the alkali metals, for the combining weight of

beryllium, Be or Gl = 9. This combining weight is greater than that

of lithium (7), as the combining weight of magnesium (24) is greater

than that of sodium (23), and as that of calcium (40) is greater than

that of potassium (39), &c.[59] Beryllium was so named because it

occurs in the mineral _beryl_. The metal is also called glucinum (from

the Greek word [Greek: glykys], 'sweet'), because its salts have a

sweet taste. It occurs in beryl, aquamarine, the emerald, and other

minerals, which are generally of a green colour; they are sometimes

found in considerable masses, but as a rule are comparatively rare

and, as transparent crystals, form precious stones. The composition of

beryl and of the emerald is as follows: Al_{2}O_{3},3BeO,6SiO_{2}. The

Siberian and Brazilian beryls are the best known. The specific gravity

of beryl is about 2·7. Beryllium oxide, from the feebleness of its basic

properties, presents an analogy to aluminium oxide in the same way

that lithium oxide is analogous to magnesium oxide.[60] Owing to its

rare occurrence in nature, to the absence of any especially distinct

individual properties, and to the possibility of foretelling them to

a certain extent on the basis of the periodic system of the elements

given in the following chapter, and owing to the brevity of this

treatise, we will not discuss at any length the compounds of beryllium,

and will only observe that their individuality was pointed out in 1798

by Vauquelin, and that metallic beryllium was obtained by Wöhler and

Bussy. Wöhler obtained _metallic beryllium_ (like magnesium) by acting

on beryllium chloride, BeCl_{2}, with potassium (it is best prepared

by fusing K_{2}BeF_{4} with Na). Metallic beryllium has a specific

gravity 1·64 (Nilson and Pettersson). It is very infusible, melting at

nearly the same temperature as silver, which it resembles in its white

colour and lustre. It is characterised by the fact that it is very

difficultly oxidised, and even in the oxidising flame of the blowpipe is

only superficially covered by a coating of oxide; it does not burn in

pure oxygen, and does not decompose water at the ordinary temperature

or at a red heat, but gaseous hydrochloric acid is decomposed by it

when slightly heated, with evolution of hydrogen and development of a

considerable amount of heat. Even dilute hydrochloric acid acts in the

same manner at the ordinary temperature. Beryllium also acts easily on

sulphuric acid, but it is remarkable that neither dilute nor strong

nitric acid acts on beryllium, which seems especially able to resist

oxidising agents. Potassium hydroxide acts on beryllium as on aluminium,

hydrogen being disengaged and the metal dissolved, but ammonia has no

action on it. These properties of metallic beryllium seem to isolate it

from the series of the other metals described in this chapter, but if we

compare the properties of calcium, magnesium, and beryllium we shall see

that magnesium occupies a position intermediate between the other two.

Whilst calcium decomposes water with great ease, magnesium does so with

difficulty, and beryllium not at all. The peculiarities of beryllium

among the metals of the alkaline earths recall the fact that in the

series of the halogens we saw that fluorine differed from the other

halogens in many of its properties and had the smallest atomic weight.

The same is the case with regard to beryllium among the other metals of

the alkaline earths.

[59] We refer beryllium to the class of the bivalent metals of the

alkaline earths--that is, we ascribe to its oxide the formula BeO,

and do not consider it as trivalent (Be = 13·5, Chapter VII., Note

21), although that view has been upheld by many chemists. The true

atomic composition of beryllium oxide was first given by the

Russian chemist, Avdéeff (1819), in his researches on the

compounds of this metal. He compared the compounds of beryllium to

those of magnesium, and refuted the notion prevalent at the time,

of the resemblance between the oxides of beryllium and aluminium,

by proving that beryllium sulphate presents a greater resemblance

to magnesium sulphate than to aluminium sulphate. It was

especially noticed that the analogues of alumina give alums,

whilst beryllium oxide, although it is a feeble base, easily

giving, like magnesia, basic and double salts, does not form true

alums. The establishment of the periodic system of the elements

(1869), considered in the following chapter, immediately indicated

that Avdéeff's view corresponded with the truth--that is, that

beryllium is bivalent, which therefore necessitated the denial of

its trivalency. This scientific controversy resulted in a long

series of researches (1870-80) concerning this element, and ended

in Nilson and Pettersson--two of the chief advocates of the

trivalency of beryllium--determining the vapour density of

BeCl_{2} = 40, (Chapter VII., Note 21), which gave an undoubted

proof of its bivalency (_see_ also Note 3).

[60] Beryllium oxide, like aluminium oxide, is precipitated from

solutions of its salts by alkalis as a gelatinous hydroxide,

BeH_{2}O_{2}, which, like alumina, is soluble in an excess of

caustic potash or soda. This reaction may be taken advantage of

for distinguishing and separating beryllium from aluminium,

because when the alkaline solution is diluted with water and

boiled, beryllium hydroxide is precipitated, whilst the alumina

remains in solution. The solubility of the beryllium oxide at once

clearly indicates its feeble basic properties, and, as it were,

separates this oxide from the class of the alkaline earths. But on

arranging the oxides of the above-described metals of the alkaline

earths according to their decreasing atomic weights we have the

series

BaO, SrO, CaO, MgO, BeO,

in which the basic properties and solubility of the oxides

consecutively and distinctly decrease until we reach a point when,

had we not known of the existence of the beryllium oxide, we

should expect to find in its place an oxide insoluble in water and

of feeble basic properties. If an alcoholic solution of caustic

potash be saturated with the hydrate of BeO, and evaporated under

the receiver of an air pump, it forms silky crystals BeK_{2}O_{2}.

Another characteristic of the salts of beryllium is that they give

with aqueous ammonia a gelatinous precipitate which is soluble in

an excess of ammonium carbonate like the precipitate of magnesia;

in this beryllium oxide differs from the oxide of aluminium.

Beryllium oxide easily forms a carbonate which is insoluble in

water, and resembles magnesium carbonate in many respects.

Beryllium sulphate is distinguished by its considerable solubility

in water--thus, at the ordinary temperature it dissolves in an

equal weight of water; it crystallises out from its solutions in

well-formed crystals, which do not change in the air, and contain

BeSO_{4},4H_{2}O. When ignited it leaves beryllium oxide, but this

oxide, after prolonged ignition, is re-dissolved by sulphuric

acid, whilst aluminium sulphate, after a similar treatment, leaves

aluminium oxide, which is no longer soluble in acids. With a few

exceptions, the salts of beryllium crystallise with great

difficulty, and to a considerable extent resemble the salts of

magnesium; thus, for instance, beryllium chloride is analogous to

magnesium chloride. It is volatile in an anhydrous state, and in a

hydrated state it decomposes, with the evolution of hydrochloric

acid.

In addition to the above characteristics of the compounds of the metals

of the alkaline earths, we must add that they, like the alkali metals,

combine with nitrogen and hydrogen, and while sodium nitride (obtained

by igniting the amide of sodium, Chapter XII., Note 44 bis) and lithium

nitride (obtained by heating lithium in nitrogen, Chapter XIII., Note

39) have the composition R_{3}N, so the nitrides of magnesium (Note 14),

calcium, strontium, and barium have the composition R_{3}N_{2}, for

example, Ba_{3}N_{2}, as might be expected from the diatomicity of the

metals of the alkaline earths and from the relation of the nitrides to

ammonia, which is obtained from all of these compounds by the action of

water. The _nitrides_ of Ca, Sr, and Ba are formed directly (Maquenne,

1892) by heating the metals in nitrogen. They all have the appearance of

an amorphous powder of dark colour; as regards their reactions, it is

known that besides disengaging ammonia with water, they form cyanides

when heated with carbonic oxide; for instance, Ba_{3}N_{2} + 2CO =

Ba(CN)_{2} + 2BaO.[61]

[61] Thus in the nitrides of the metals we have substances by means

of which we can easily obtain from the nitrogen of the air, not

only ammonia, but also with the aid of CO, by synthesis, a whole

series of complex carbon and nitrogen compounds.

The metals of the alkaline earths, just like Na and K, absorb hydrogen

under certain conditions, and form pulverulent easily oxidisable

metallic hydrides, whose composition corresponds exactly to that of

Na_{2}H and K_{2}H, with the substitution of K_{2} and Na_{2} by the

atoms Be, Mg, Ca, Sr, and Ba. The _hydrides of the metals of the

alkaline earths_ were discovered by C. Winkler (1891) in investigating

the reducibility of these metals by magnesium. In reducing their oxides

by heating them with magnesium powder in a stream of hydrogen, Winkler

observed that the hydrogen was absorbed (but very slowly), _i.e._ at

the moment of their separation all the metals of the alkaline earths

combine with hydrogen. This absorptive power increases in passing from

Be to Mg, Ca, Sr, and Ba, and the resultant hydrides retain the combined

hydrogen[62] when heated, so that these hydrides are distinguished

for their considerable stability under heat, but they oxidise very

easily.[63]

[62] As the hydrides of calcium, magnesium, &c. are very stable under

the action of heat, and these metals and hydrogen occur in the

sun, it is likely that the formation of their hydrides may take

place there. (Private communication from Prof. Winkler, 1894.) It

is probable that in the free metals of the alkaline earths

hitherto obtained a portion was frequently in combination with

nitrogen and hydrogen.

The Principles of Chemistry, Volume I · 第 20 / 21 章