V. ANALYTICAL CHEMISTRY

This branch of chemistry has for its province the determination of the

constituents of a chemical compound or of a mixture of compounds. Such a

determination is _qualitative_, the constituent being only detected or

proved to be present, or _quantitative_, in which the amount present is

ascertained. The methods of chemical analysis may be classified

according to the type of reaction: (1) _dry_ or _blowpipe analysis_,

which consists in an examination of the substance in the dry condition;

this includes such tests as ignition in a tube, ignition on charcoal in

the blowpipe flame, fusion with borax, microcosmic salt or fluxes, and

flame colorations (in quantitative work the dry methods are sometimes

termed "dry assaying"); (2) _wet analysis_, in which a solution of the

substance is treated with reagents which produce specific reactions when

certain elements or groups of elements are present. In quantitative

analysis the methods can be subdivided into: (a) _gravimetric_, in which

the constituent is precipitated either as a definite insoluble compound

by the addition of certain reagents, or electrolytically, by the passage

of an electric current; (b) _volumetric_, in which the volume of a

reagent of a known strength which produces a certain definite reaction

is measured; (c) _colorimetric_, in which the solution has a particular

tint, which can be compared with solutions of known strengths.

_Historical._--The germs of analytical chemistry are to be found in the

writings of the pharmacists and chemists of the iatrochemical period.

The importance of ascertaining the proximate composition of bodies was

clearly realized by Otto Tachenius; but the first systematic

investigator was Robert Boyle, to whom we owe the introduction of the

term _analysis_. Boyle recognized many reagents which gave precipitates

with certain solutions: he detected sulphuric and hydrochloric acids by

the white precipitates formed with calcium chloride and silver nitrate

respectively; ammonia by the white cloud formed with the vapours of

nitric or hydrochloric acids; and copper by the deep blue solution

formed by a solution of ammonia. Of great importance is his introduction

of vegetable juices (the so-called _indicators_, q.v.) to detect acids

and bases. During the phlogistic period, the detection of the

constituents of compounds was considerably developed. Of the principal

workers in this field we may notice Friedrich Hoffmann, Andreas

Sigismund Marggraf (who detected iron by its reaction with potassium

ferrocyanide, and potassium and sodium by their flame colorations), and

especially Carl Scheele and Torbern Olof Bergman. Scheele enriched the

knowledge of chemistry by an immense number of facts, but he did not

possess the spirit of working systematically as Bergman did. Bergman

laid the foundations of systematic qualitative analysis, and devised

methods by which the metals may be separated into groups according to

their behaviour with certain reagents. This subdivision, which is of

paramount importance in the analysis of minerals, was subsequently

developed by Wilhelm August Lampadius in his _Handbuch zur chemischen

Analyse der Mineralien_ (1801) and by John Friedrich A. Gottling in his

_Praktische Anleitung zur prufenden und zurlegenden Chemie_ (1802).

The introduction of the blowpipe into dry qualitative analysis by Axel

Fredrik Cronstedt marks an important innovation. The rapidity of the

method, and the accurate results which it gave in the hands of a

practised experimenter, led to its systematization by Jons Jakob

Berzelius and Johann Friedrich Ludwig Hausmann, and in more recent times

by K.F. Plattner, whose treatise _Die Probirkunst mit dem Lothrohr_ is a

standard work on the subject. Another type of dry reaction, namely, the

_flame coloration_, had been the subject of isolated notices, as, for

example, the violet flame of potassium and the orange flame of sodium

observed by Marggraf and Scheele, but a systematic account was wanting

until Cartmell took the subject up. His results (_Phil. Mag._ 16, p.

382) were afterwards perfected by Robert Wilhelm Bunsen and Gustav Merz.

Closely related to the flame-colorations, we have to notice the great

services rendered by the spectroscope to the detection of elements.

Rubidium, caesium, thallium, indium and gallium were first discovered by

means of this instrument; the study of the rare earths is greatly

facilitated, and the composition of the heavenly bodies alone

determinable by it.

Quantitative chemistry had been all but neglected before the time of

Lavoisier, for although a few chemists such as Tachenius, Bergman and

others had realized the advantages which would accrue from a knowledge

of the composition of bodies by weight, and had laid down the lines

upon which such determinations should proceed, the experimental

difficulties in making accurate observations were enormous, and little

progress could be made until the procedure was more accurately

determined. Martin Heinrich Klaproth showed the necessity for igniting

precipitates before weighing them, if they were not decomposed by this

process; and he worked largely with Louis Nicolas Vauquelin in

perfecting the analysis of minerals. K.F. Wenzel and J.B. Richter

contributed to the knowledge of the quantitative composition of salts.

Anton Laurent Lavoisier, however, must be considered as the first great

exponent of this branch of chemistry. He realized that the composition

by weight of chemical compounds was of the greatest moment if chemistry

were to advance. His fame rests upon his exposition of the principles

necessary to chemistry as a science, but of his contributions to

analytical inorganic chemistry little can be said. He applied himself

more particularly to the oxygen compounds, and determined with a fair

degree of accuracy the ratio of carbon to oxygen in carbon dioxide, but

his values for the ratio of hydrogen to oxygen in water, and of

phosphorus to oxygen in phosphoric acid, are only approximate; he

introduced no new methods either for the estimation or separation of the

metals. The next advance was made by Joseph Louis Proust, whose

investigations led to a clear grasp of the law of constant proportions.

The formulation of the atomic theory by John Dalton gave a fresh impetus

to the development of quantitative analysis; and the determination of

combining or equivalent weights by Berzelius led to the perfecting of

the methods of gravimetric analysis. Experimental conditions were

thoroughly worked out; the necessity of working with hot or cold

solutions was clearly emphasized; and the employment of small quantities

of substances instead of the large amounts recommended by Klaproth was

shown by him to give more consistent results.

Since the time of Berzelius many experimenters have entered the lists,

and introduced developments which we have not space to mention. We may,

however, notice Heinrich Rose[15] and Friedrich Wohler,[16] who, having

worked up the results of their teacher Berzelius, and combined them with

their own valuable observations, exerted great influence on the progress

of analytical chemistry by publishing works which contained admirable

accounts of the then known methods of analysis. To K.R. Fresenius, the

founder of the _Zeitschrift fur analytische Chemie_ (1862), we are

particularly indebted for perfecting and systematizing the various

methods of analytical chemistry. By strengthening the older methods, and

devising new ones, he exerted an influence which can never be

overestimated. His text-books on the subject, of which the _Qualitative_

appeared in 1841, and the _Quantitative_ in 1846, have a world-wide

reputation, and have passed through several editions.

The quantitative precipitation of metals by the electric current,

although known to Michael Faraday, was not applied to analytical

chemistry until O. Wolcott Gibbs worked out the electrolytic separation

of copper in 1865. Since then the subject has been extensively studied,

more particularly by Alexander Classen, who has summarized the methods

and results in his _Quantitative Chemical Analysis by Electrolysis_

(1903). The ever-increasing importance of the electric current in

metallurgy and chemical manufactures is making this method of great

importance, and in some cases it has partially, if not wholly,

superseded the older methods.

Volumetric analysis, possessing as it does many advantages over the

gravimetric methods, has of late years been extensively developed. Gay

Lussac may be regarded as the founder of the method, although rough

applications had been previously made by F.A.H. Descroizilles and L.N.

Vauquelin. Chlorimetry (1824), alkalimetry (1828), and the volumetric

determination of silver and chlorine (1832) were worked out by Gay

Lussac; but although the advantages of the method were patent, it

received recognition very slowly. The application of potassium

permanganate to the estimation of iron by E. Margueritte in 1846, and

of iodine and sulphurous acid to the estimation of copper and many other

substances by Robert Wilhelm Bunsen, marks an epoch in the early history

of volumetric analysis. Since then it has been rapidly developed,

particularly by Karl Friedrich Mohr and J. Volhard, and these methods

rank side by side in value with the older and more tedious gravimetric

methods.

The detection of carbon and hydrogen in organic compounds by the

formation of carbon dioxide and water when they are burned was first

correctly understood by Lavoisier, and as he had determined the carbon

and hydrogen content of these two substances he was able to devise

methods by which carbon and hydrogen in organic compounds could be

estimated. In his earlier experiments he burned the substance in a known

volume of oxygen, and by measuring the residual gas determined the

carbon and hydrogen. For substances of a difficultly combustible nature

he adopted the method in common use to-day, viz. to mix the substance

with an oxidizing agent--mercuric oxide, lead dioxide, and afterwards

copper oxide--and absorb the carbon dioxide in potash solution. This

method has been improved, especially by Justus v. Liebig; and certain

others based on a different procedure have been suggested. The

estimation of nitrogen was first worked out in 1830 by Jean Baptiste

Dumas, and different processes have been proposed by Will and F.

Varrentrapp, J. Kjeldahl and others. Methods for the estimation of the

halogens and sulphur were worked out by L. Carius (see below, S _Organic

Analysis_).

Only a reference can be made in this summary to the many fields in which

analytical chemistry has been developed. Progress in forensic chemistry

was only possible after the reactions of poisons had been systematized;

a subject which has been worked out by many investigators, of whom we

notice K.R. Fresenius, J. and R. Otto, and J.S. Stas. Industrial

chemistry makes many claims upon the chemist, for it is necessary to

determine the purity of a product before it can be valued. This has led

to the estimation of sugar by means of the polarimeter, and of the

calorific power of fuels, and the valuation of ores and metals, of

coal-tar dyes, and almost all trade products.

The passing of the Food and Drug Acts (1875-1899) in England, and the

existence of similar adulteration acts in other countries, have

occasioned great progress in the analysis of foods, drugs, &c. For

further information on this branch of analytical chemistry, see

ADULTERATION.

There exists no branch of technical chemistry, hygiene or pharmacy from

which the analytical chemist can be spared, since it is only by a

continual development of his art that we can hope to be certain of the

purity of any preparation. In England this branch of chemistry is

especially cared for by the Institute of Chemistry, which, since its

foundation in 1877, has done much for the training of analytical

chemists.

In the preceding sketch we have given a necessarily brief account of the

historical development of analytical chemistry in its main branches. We

shall now treat the different methods in more detail. It must be

mentioned here that the reactions of any particular substance are given

under its own heading, and in this article we shall only collate the

various operations and outline the general procedure. The limits of

space prevent any systematic account of the separation of the rare

metals, the alkaloids, and other classes of organic compounds, but

sources where these matters may be found are given in the list of

references.

_Qualitative Inorganic Analysis._

Dry methods.

The dry examination of a substance comprises several operations, which

may yield definite results if no disturbing element is present; but it

is imperative that any inference should be confirmed by other methods.

1. Heat the substance in a hard glass tube. Note whether any moisture

condenses on the cooler parts of the tube, a gas is evolved, a sublimate

formed, or the substance changes colour.

Moisture is evolved from substances containing water of

crystallization or decomposed hydrates. If it possesses an alkaline or

acid reaction, it must be tested in the first case for ammonia, and in

the second case for a volatile acid, such as sulphuric, nitric,

hydrochloric, &c.

Any evolved gas must be examined. Oxygen, recognized by its power of

igniting a glowing splinter, results from the decomposition of oxides

of the noble metals, peroxides, chlorates, nitrates and other highly

oxygenized salts. Sulphur dioxide, recognized by its smell and acid

reaction, results from the ignition of certain sulphites, sulphates,

or a mixture of a sulphate with a sulphide. Nitrogen oxides,

recognized by their odour and brown-red colour, result from the

decomposition of nitrates. Carbon dioxide, recognized by turning

lime-water milky, indicates decomposable carbonates or oxalates.

Chlorine, bromine, and iodine, each recognizable by its colour and

odour, result from decomposable haloids; iodine forms also a black

sublimate. Cyanogen and hydrocyanic acid, recognizable by their odour,

indicate decomposable cyanides. Sulphuretted hydrogen, recognized by

its odour, results from sulphides containing water, and

hydrosulphides. Ammonia, recognizable by its odour and alkaline

reaction, indicates ammoniacal salts or cyanides containing water.

A sublimate may be formed of: sulphur--reddish-brown drops, cooling to

a yellow to brown solid, from sulphides or mixtures; iodine--violet

vapour, black sublimate, from iodides, iodic acid, or mixtures;

mercury and its compounds--metallic mercury forms minute globules,

mercuric sulphide is black and becomes red on rubbing, mercuric

chloride fuses before subliming, mercurous chloride does not fuse,

mercuric iodide gives a yellow sublimate; arsenic and its

compounds--metallic arsenic gives a grey mirror, arsenious oxide forms

white shining crystals, arsenic sulphides give reddish-yellow

sublimates which turn yellow on cooling; antimony oxide fuses and

gives a yellow acicular sublimate; lead chloride forms a white

sublimate after long and intense heating.

If the substance does not melt but changes colour, we may have

present: zinc oxide--from white to yellow, becoming white on cooling;

stannic oxide--white to yellowish brown, dirty white on cooling; lead

oxide--from white or yellowish-red to brownish-red, yellow on cooling;

bismuth oxide--from white or pale yellow to orange-yellow or

reddish-brown, pale yellow on cooling; manganese oxide--from white or

yellowish white to dark brown, remaining dark brown on cooling (if it

changes on cooling to a bright reddish-brown, it indicates cadmium

oxide); copper oxide--from bright blue or green to black; ferrous

oxide--from greyish-white to black; ferric oxide--from brownish-red to

black, brownish-red on cooling; potassium chromate--yellow to dark

orange, fusing at a red heat.

2. Heat the substance on a piece of charcoal in the reducing flame of

the blowpipe.

([alpha]) The substance may fuse and be absorbed by the charcoal; this

indicates more particularly the alkaline metals.

([beta]) An infusible white residue may be obtained, which may denote

barium, strontium, calcium, magnesium, aluminium or zinc. The first

three give characteristic flame colorations (see below); the last

three, when moistened with cobalt nitrate and re-ignited, give

coloured masses; aluminium (or silica) gives a brilliant blue; zinc

gives a green; whilst magnesium phosphates or arsenate (and to a less

degree the phosphates of the alkaline earths) give a violet mass.

A metallic globule with or without an incrustation may be obtained.

Gold and copper salts give a metallic bead without an incrustation. If

the incrustation be white and readily volatile, arsenic is present, if

more difficultly volatile and beads are present, antimony; zinc gives

an incrustation yellow whilst hot, white on cooling, and volatilized

with difficulty; tin gives a pale yellow incrustation, which becomes

white on cooling, and does not volatilize in either the reducing or

oxidizing flames; lead gives a lemon-yellow incrustation turning

sulphur-yellow on cooling, together with metallic malleable beads;

bismuth gives metallic globules and a dark orange-yellow incrustation,

which becomes lemon-yellow on cooling; cadmium gives a reddish-brown

incrustation, which is removed without leaving a gleam by heating in

the reducing flame; silver gives white metallic globules and a

dark-red incrustation.

3. Heat the substance with a bead of microcosmic salt or borax on a

platinum wire in the oxidizing flame.

([alpha]) The substance dissolves readily and in quantity, forming a

bead which is clear when hot. If the bead is coloured we may have

present: cobalt, blue to violet; copper, green, blue on cooling; in

the reducing flame, red when cold; chromium, green, unaltered in the

reducing flame; iron, brownish-red, light-yellow or colourless on

cooling; in the reducing flame, red while hot, yellow on cooling,

greenish when cold; nickel, reddish to brownish-red, yellow to

reddish-yellow or colourless on cooling, unaltered in the reducing

flame; bismuth, yellowish-brown, light-yellow or colourless on

cooling; in the reducing flame, almost colourless, blackish-grey when

cold; silver, light yellowish to opal, somewhat opaque when cold;

whitish-grey in the reducing flame; manganese, amethyst red,

colourless in the reducing flame. If the hot bead is colourless and

remains clear on cooling, we may suspect the presence of antimony,

aluminium, zinc, cadmium, lead, calcium and magnesium. When present in

sufficient quantity the five last-named give enamel-white beads; lead

oxide in excess gives a yellowish bead. If the hot colourless bead

becomes enamel-white on cooling even when minute quantities of the

substances are employed, we may infer the presence of barium or

strontium.

([beta]) The substance dissolves slowly and in small quantity, and

forms a colourless bead which remains so on cooling. Either silica or

tin may be present. If silica be present, it gives the iron bead when

heated with a little ferric oxide; if tin is present there is no

change. Certain substances, such as the precious metals, are quite

insoluble in the bead, but float about in it.

4. Hold a small portion of the substance moistened with hydrochloric

acid on a clean platinum wire in the fusion zone of the Bunsen burner,

and note any colour imparted to the flame.

Potassium gives a blue-violet flame which may be masked by the

colorations due to sodium, calcium and other elements. By viewing the

flame through an indigo prism it appears sky-blue, violet and

ultimately crimson, as the thickness of the prism is increased. Other

elements do not interfere with this method. Sodium gives an intense

and persistent yellow flame; lithium gives a carmine coloration, and

may be identified in the presence of sodium by viewing through a

cobalt glass or indigo prism; from potassium it may be distinguished

by its redder colour; barium gives a yellowish-green flame, which

appears bluish-green when viewed through green glass; strontium gives

a crimson flame which appears purple or rose when viewed through blue

glass; calcium gives an orange-red colour which appears finch-green

through green glass; indium gives a characteristic bluish-violet

flame; copper gives an intense emerald-green coloration.

5. _Film Reactions._--These reactions are practised in the following

manner:--A thread of asbestos is moistened and then dipped in the

substance to be tested; it is then placed in the luminous point of the

Bunsen flame, and a small porcelain basin containing cold water placed

immediately over the asbestos. The formation of a film is noted. The

operation is repeated with the thread in the oxidizing flame.

Any film formed in the first case is metallic, in the second it is the

oxide. The metallic film is tested with 20% nitric acid and with

bleaching-powder solution. Arsenic is insoluble in the acid, but

immediately dissolves in the bleaching-powder. The black films of

antimony and bismuth and the grey mottled film of mercury are slowly

soluble in the acid, and untouched by bleaching-powder. The black

films of tin, lead and cadmium dissolve at once in the acid, the lead

film being also soluble in bleaching-powder. The oxide films of

antimony, arsenic, tin and bismuth are white, that of bismuth slightly

yellowish; lead yields a very pale yellow film, and cadmium a brown

one; mercury yields no oxide film. The oxide films (the metallic one

in the case of mercury) are tested with hydriodic acid, and with

ammonium sulphide, and from the changes produced the film can be

determined (see F.M. Perkin, _Qualitative Chemical Analysis_, 1905).

Wet methods.

Having completed the dry analysis we may now pass on to the _wet_ and

more accurate investigation. It is first necessary to get the substance

into solution. Small portions should be successively tested with water,

dilute hydrochloric acid, dilute nitric acid, strong hydrochloric acid,

and a mixture of hydrochloric and nitric acids, first in the cold and

then with warming. Certain substances are insoluble in all these

reagents, and other methods, such as the fusion with sodium carbonate

and potassium nitrate, and subsequent treatment with an acid, must be

employed. Some of these insoluble compounds can be detected by their

colour and particular reactions. For further information on this

subject, we refer the readers to Fresenius's _Qualitative Analysis_.

The procedure for the detection of metals in solution consists of

first separating them into groups and then examining each group

separately. For this purpose the cold solution is treated with

hydrochloric acid, which precipitates lead, silver and mercurous salts

as chlorides. The solution is filtered and treated with an excess of

sulphuretted hydrogen, either in solution or by passing in the gas;

this precipitates mercury (mercuric), any lead left over from the

first group, copper, bismuth, cadmium, arsenic, antimony and tin as

sulphides. The solution is filtered off, boiled till free of

sulphuretted hydrogen, and ammonium chloride and ammonia added. If

phosphoric acid is absent, aluminium, chromium and ferric hydrates are

precipitated. If, however, phosphoric acid is present in the original

substance, we may here obtain a precipitate of the phosphates of the

remaining metals, together with aluminium, chromium and ferric

hydrates. In this case, the precipitate is dissolved in as little as

possible hydrochloric acid and boiled with ammonium acetate, acetic

acid and ferric chloride. The phosphates of aluminium, chromium and

iron are precipitated, and the solution contains the same metals as if

phosphoric acid had been absent. To the filtrate from the aluminium,

iron and chromium precipitate, ammonia and ammonium sulphide are

added; the precipitate may contain nickel, cobalt, zinc and manganese

sulphides. Ammonium carbonate is added to the filtrate; this

precipitates calcium, strontium and barium. The solution contains

magnesium, sodium and potassium, which are separately distinguished by

the methods given under their own headings.

We now proceed with the examination of the various group precipitates.

The white precipitate formed by cold hydrochloric acid is boiled with

water, and the solution filtered while hot. Any lead chloride

dissolves, and may be identified by the yellow precipitate formed with

potassium chromate. To the residue add ammonia, shake, then filter.

Silver chloride goes into solution, and may be precipitated by dilute

nitric acid. The residue, which is black in colour, consists of

mercuroso-ammonium chloride, in which mercury can be confirmed by its

ordinary tests.

The precipitate formed by sulphuretted hydrogen may contain the black

mercuric, lead, and copper sulphides, dark-brown bismuth sulphide,

yellow cadmium and arsenious sulphides, orange-red antimony sulphide,

brown stannous sulphide, dull-yellow stannic sulphide, and whitish

sulphur, the last resulting from the oxidation of sulphuretted

hydrogen by ferric salts, chromates, &c. Warming with ammonium

sulphide dissolves out the arsenic, antimony and tin salts, which are

reprecipitated by the addition of hydrochloric acid to the ammonium

sulphide solution. The precipitate is shaken with ammonium carbonate,

which dissolves the arsenic. Filter and confirm arsenic in the

solution by its particular tests. Dissolve the residue in hydrochloric

acid and test separately for antimony and tin. The residue from the

ammonium sulphide solution is warmed with dilute nitric acid. Any

residue consists of black mercuric sulphide (and possibly white lead

sulphate), in which mercury is confirmed by its usual tests. The

solution is evaporated with a little sulphuric acid and well cooled.

The white precipitate consists of lead sulphate. To the filtrate add

ammonia in excess; a white precipitate indicates bismuth; if the

solution be blue, copper is present. Filter from the bismuth hydrate,

and if copper is present, add potassium cyanide till the colour is

destroyed, then pass sulphuretted hydrogen, and cadmium is

precipitated as the yellow sulphide. If copper is absent, then

sulphuretted hydrogen can be passed directly into the solution.

The next group precipitate may contain the white gelatinous aluminium

hydroxide, the greenish chromium hydroxide, reddish ferric hydroxide,

and possibly zinc and manganese hydroxides. Treatment with casutic

soda dissolves out aluminium hydroxide, which is reprecipitated by the

addition of ammonium chloride. The remaining metals are tested for

separately.

The next group may contain black nickel and cobalt sulphides,

flesh-coloured manganese sulphide, and white zinc sulphide. The last

two are dissolved out by cold, very dilute hydrochloric acid, and the

residue is tested for nickel and cobalt. The solution is boiled till

free from sulphuretted hydrogen and treated with excess of sodium

hydrate. A white precipitate rapidly turning brown indicates

manganese. The solution with ammonium sulphide gives a white

precipitate of zinc sulphide.

The next group may contain the white calcium, barium and strontium

carbonates. The flame coloration (see above) may give information as

to which elements are present. The carbonates are dissolved in

hydrochloric acid, and calcium sulphate solution is added to a portion

of the solution. An immediate precipitate indicates barium; a

precipitate on standing indicates strontium. If barium is present, the

solution of the carbonates in hydrochloric acid is evaporated and

digested with strong alcohol for some time; barium chloride, which is

nearly insoluble in alcohol, is thus separated, the remainder being

precipitated by a few drops of hydrofluosilicic acid, and may be

confirmed by the ordinary tests. The solution free from barium is

treated with ammonia and ammonium sulphate, which precipitates

strontium, and the calcium in the solution may be identified by the

white precipitate with ammonium oxalate.

Having determined the bases, it remains to determine the acid radicals.

There is no general procedure for these operations, and it is customary

to test for the acids separately by special tests; these are given in

the articles on the various acids. A knowledge of the solubility of

salts considerably reduces the number of acids likely to be present, and

affords evidence of great value to the analyst (see A.M. Comey,

_Dictionary of Chemical Solubilities_.) In the above account we have

indicated the procedure adopted in the analysis of a complex mixture of

salts. It is unnecessary here to dwell on the precautions which can only

be conveniently acquired by experience; a sound appreciation of

analytical methods is only possible after the reactions and characters

of individual substances have been studied, and we therefore refer the

reader to the articles on the particular elements and compounds for more

information on this subject.

_Quantitative Inorganic Analysis_.

Quantitative methods are divided into four groups, which we now pass on

to consider in the following sequence: ([alpha]) gravimetric, ([beta])

volumetric, ([gamma]) electrolytic, ([delta]) colorimetric.

([alpha]) _Gravimetric._--This method is made up of four operations: (1)

a weighed quantity of the substance is dissolved in a suitable solvent;

(2) a particular reagent is added which precipitates the substance it is

desired to estimate; (3) the precipitate is filtered, washed and dried;

(4) the filter paper containing the precipitate is weighed either as a

_tared_ filter, or incinerated and ignited either in air or in any other

gas, and then weighed.

(1) Accurate weighing is all-important: for details of the various

appliances and methods see WEIGHING MACHINES. (2) No general

directions can be given as to the method of precipitation. Sometimes

it is necessary to allow the solution to stand for a considerable time

either in the warm or cold or in the light or dark; to work with cold

solutions and then boil; or to use boiling solutions of both the

substance and reagent. Details will be found in the articles on

particular metals. (3) The operation of filtration and washing is very

important. If the substance to be weighed changes in composition on

strong heating, it is necessary to employ a tared filter, i.e. a

filter paper which has been previously heated to the temperature at

which the substance is to be dried until its weight is constant. If

the precipitate settles readily, the supernatant liquor may be

decanted through the filter paper, more water added to the precipitate

and again decanted. By this means most of the washing, i.e.freeing

from the other substances in the solution, can be accomplished in the

precipitating vessel. If, however, the precipitate refuses to settle,

it is directly transferred to the filter paper, the last traces being

removed by washing and rubbing the sides of the vessel with a piece of

rubber, and the liquid is allowed to drain through. It is washed by

ejecting a jet of water, ammonia or other prescribed liquid on to the

side of the filter paper until the paper is nearly full. It can be

shown that a more efficient washing results from alternately filling

and emptying the funnel than by endeavouring to keep the funnel full.

The washing is continued until the filtrate is free from salts or

acids. (4) After washing, the funnel containing the filter paper is

transferred to a drying oven. In the case of a tared filter it is

weighed repeatedly until the weight suffers no change; then knowing

the weight of the filter paper, the weight of the precipitate is

obtained by subtraction. If the precipitate may be ignited, it is

transferred to a clean, weighed and recently ignited crucible, and the

filter paper is burned _separately_ on the lid, the ash transferred to

the crucible, and the whole ignited. After ignition, it is allowed to

cool in a desiccator and then weighed. Knowing the weight of the

crucible and of the ash of the filter paper, the weight of the

precipitate is determined. The calculation of the percentage of the

particular constituent is simple. We know the amount present in the

precipitate, and since the same amount is present in the quantity of

substance experimented with, we have only to work out a sum in

proportion.

([beta]) _Volumetric._--This method is made up of three operations:--(1)

preparation of a _standard_ solution; (2) preparation of a solution of

the substance; (3) _titration_, or the determination of what volume of

the standard solution will occasion a known and definite reaction with a

known volume of the test solution.

(1) In general analytical work the standard solution contains the

equivalent weight of the substance in grammes dissolved in a litre of

water. Such a solution is known as _normal_. Thus a normal solution of

sodium carbonate contains 53 grammes per litre, of sodium hydrate 40

grammes, of hydrochloric acid 36.5 grammes, and so on. By taking

1/10th or 1/100th of these quantities, _decinormal_ or _centinormal_

solutions are obtained. We see therefore that 1 cubic centimetre of a

normal sodium carbonate solution will exactly neutralize 0.049 gramme

of sulphuric acid, 0.0365 gramme of hydrochloric acid (i.e. the

equivalent quantities), and similarly for decinormal and centinormal

solutions. Unfortunately, the term normal is sometimes given to

solutions which are strictly decinormal; for example, iodine, sodium

thiosulphate, &c. In technical analysis, where a solution is used for

one process only, it may be prepared so that 1 cc. is equal to .01

gramme of the substance to be estimated. This saves a certain amount

of arithmetic, but when the solution is applied in another

determination additional calculations are necessary. Standard

solutions are prepared by weighing out the exact amount of the pure

substance and dissolving it in water, or by forming a solution of

approximate normality, determining its exact strength by gravimetric

or other means, and then correcting it for any divergence. This may be

exemplified in the case of alkalimetry. Pure sodium carbonate is

prepared by igniting the bicarbonate, and exactly 53 grammes are

dissolved in water, forming a strictly normal solution. An approximate

normal sulphuric acid is prepared from 30 ccs. of the pure acid (1.84

specific gravity) diluted to 1 litre. The solutions are titrated (see

below) and the acid solution diluted until equal volumes are exactly

equivalent. A standard sodium hydrate solution can be prepared by

dissolving 42 grammes of sodium hydrate, making up to a litre, and

diluting until one cubic centimetre is exactly equivalent to one cubic

centimetre of the sulphuric acid. Similarly, normal solutions of

hydrochloric and nitric acids can be prepared. Where a solution is

likely to change in composition on keeping, such as potassium

permanganate, iodine, sodium hydrate, &c., it is necessary to check

or re-standardize it periodically.

(2) The preparation of the solution of the substance consists in

dissolving an accurately determined weight, and making up the volume

in a graduated cylinder or flask to a known volume.

(3) The titration is conducted by running the standard solution from a

burette into a known volume of the test solution, which is usually

transferred from the stock-bottle to a beaker or basin by means of a

pipette. Various artifices are employed to denote the end of the

reaction. These may be divided into two groups: (1) those in which a

change in appearance of the reacting mixture occurs; (2) those in

which it is necessary to use an indicator which, by its change in

appearance, shows that an excess of one reagent is present. In the

first group, we have to notice the titration of a cyanide with silver

nitrate, when a milkiness shows how far the reaction has gone; the

titration of iron with permanganate, when the faint pink colour shows

that all the iron is oxidized. In the second group, we may notice the

application of litmus, methyl orange or phenolphthalein in

alkalimetry, when the acid or alkaline character of the solution

commands the colour which it exhibits; starch paste, which forms a

blue compound with free iodine in iodometry; potassium chromate, which

forms red silver chromate after all the hydrochloric acid is

precipitated in solutions of chlorides; and in the estimation of

ferric compounds by potassium bichromate, the indicator, potassium

ferricyanide, is placed in drops on a porcelain plate, and the end of

the reaction is shown by the absence of a blue coloration when a drop

of the test solution is brought into contact with it.

([gamma]) _Electrolytic._--This method consists in decomposing a

solution of a salt of the metal by the electric current and weighing the

metal deposited at the cathode.

It is only by paying great attention to the current density that good

results are obtained, since metals other than that sought for may be

deposited. In acid copper solutions, mercury is deposited before the

copper with which it subsequently amalgamates; silver is thrown down

simultaneously; bismuth appears towards the end; and after all the

copper has been precipitated, arsenic and antimony may be deposited.

Lead and manganese are partially separated as peroxides, but the

remaining metals are not deposited from acid solutions. It is

therefore necessary that the solution should be free from metals which

may vitiate the results, or special precautions taken by which the

impurities are rendered harmless. In such cases the simplicity of

manipulation and the high degree of accuracy of the method have made

it especially valuable. The electrolysis is generally conducted with

platinum electrodes, of which the cathode takes the form of a piece of

foil bent into a cylindrical form, the necessary current being

generated by one or more Daniell cells.

([delta]) _Colorimetric._--This method is adopted when it is necessary

to determine minute traces (as in the liquid obtained in the

electrolytic separation of copper) of substances which afford

well-defined colour reactions.

The general procedure is to make a series of standard solutions

containing definite quantities of the substance which it is desired to

estimate; such a series will exhibit tints which deepen as the

quantity of the substance is increased. A known weight of the test

substance is dissolved and a portion of the solution is placed in a

tube similar to those containing the standard solutions. The

colour-producing reagent is added and the tints compared. In the case

of copper, the colour reactions with potassium ferrocyanide or ammonia

are usually employed; traces of ammonia are estimated with _Nessler's

reagent_; sulphur in iron and steel is determined by the tint assumed

by a silver-copper plate suspended in the gases liberated when the

metal is dissolved in sulphuric acid (Eggertz's test) (see W. Crookes,

_Select Methods in Analytical Chemistry_).

_Organic Analysis._

The elements which play important parts in organic compounds are carbon,

hydrogen, nitrogen, chlorine, bromine, iodine, sulphur, phosphorus and

oxygen. We shall here consider the qualitative and quantitative

determination of these elements.

_Qualitative._--Carbon is detected by the formation of carbon dioxide,

which turns lime-water milky, and hydrogen by the formation of water,

which condenses on the tube, when the substance is heated with copper

oxide. Nitrogen may be detected by the evolution of ammonia when the

substance is heated with soda-lime. A more delicate method is that due

to J. L. Lassaigne and improved by O. Jacobsen and C. Graebe. The

substance is heated with metallic sodium or potassium (in excess if

sulphur be present) to redness, the residue treated with water,

filtered, and ferrous sulphate, ferric chloride and hydrochloric acid

added. A blue coloration indicates nitrogen, and is due to the

formation of potassium (or sodium) cyanide during the fusion, and

subsequent interaction with the iron salts. The halogens may be

sometimes detected by fusing with lime, and testing the solution for a

bromide, chloride and iodide in the usual way. F. Beilstein determines

their presence by heating the substance with pure copper oxide on a

platinum wire in the Bunsen flame; a green coloration is observed if

halogens be present. Sulphur is detected by heating the substance with

sodium, dissolving the product in water, and adding sodium

nitroprusside; a bluish-violet coloration indicates sulphur (H. Vohl).

Or we may use J. Horbaczewski's method, which consists in boiling the

substance with strong potash, saturating the cold solution with

chlorine, adding hydrochloric acid, and boiling till no more chlorine

is liberated, and then testing for sulphuric acid with barium

chloride. Phosphorus is obtained as a soluble phosphate (which can be

examined in the usual way) by lixiviating the product obtained when

the substance is ignited with potassium nitrate and carbonate.

Carbon and hydrogen.

_Quantitative._--Carbon and hydrogen are generally estimated by the

_combustion_ process, which consists in oxidizing the substance and

absorbing the products of combustion in suitable apparatus. The

oxidizing agent in commonest use is copper oxide, which must be

freshly ignited before use on account of its hygroscopic nature. Lead

chromate is sometimes used, and many other substances, such as

platinum, manganese dioxide, &c., have been suggested. The procedure

for a combustion is as follows:--

[Illustration: FIG. 1.]

[Illustration: FIG. 2.]

[Illustration: FIG. 3.]

[Illustration: FIG. 4.]

A hard glass tube slightly longer than the furnace and 12 to 15 mm. in

diameter is thoroughly cleansed and packed as shown in fig. 1. The

space a must allow for the inclusion of a copper spiral if the

substance contains nitrogen, and a silver spiral if halogens be

present, for otherwise nitrogen oxides and the halogens may be

condensed in the absorption apparatus; b contains copper oxide; c is a

space for the insertion of a porcelain or platinum boat containing a

weighed quantity of the substance; d is a copper spiral. The end d is

connected to an air or oxygen supply with an intermediate drying

apparatus. The other end is connected with the absorption vessels,

which consist of a tube (e) containing calcium chloride, and a set of

bulbs (f) containing potash solution. Various forms of potash bulbs

are employed; fig. 2 is Liebig's, fig. 3 Mohr's or Geissler's, fig. 4

is a more recent form, of which special variations have been made by

Anderson, Gomberg, Delisle and others. After having previously roasted

the tube and copper oxide, and reduced the copper spiral a, the

weighed calcium chloride tube and potash bulbs are put in position,

the boat containing the substance is inserted (in the case of a

difficultly combustible substance it is desirable to mix it with

cupric oxide or lead chromate), the copper spiral (d) replaced, and

the air and oxygen supply connected up. The apparatus is then tested

for leaks. If all the connexions are sound, the copper oxide is

gradually heated from the end a, the gas-jets under the spiral d are

lighted, and a slow current of oxygen is passed through the tube. The

success of the operation depends upon the slow burning of the

substance. Towards the end the heat and the oxygen supply are

increased. When there is no more absorption in the potash bulbs, the

oxygen supply is cut off and air passed through. Having replaced the

oxygen in the absorption vessels by air, they are disconnected and

weighed, after having cooled down to the temperature of the room. The

increase in weight of the calcium chloride tube gives the weight of

water formed, and of the potash bulbs the carbon dioxide.

Liquids are amenable to the same treatment, but especial care must be

taken so that they volatilize slowly. Difficultly volatile liquids may

be weighed directly into the boat; volatile liquids are weighed in

thin hermetically sealed bulbs, the necks of which are broken just

before they are placed in the combustion tube.

The length of time and other disadvantages attending the combustion

method have caused investigators to devise other processes. In 1855 C.

Brunner described a method for oxidizing the carbon to carbon dioxide,

which could be estimated by the usual methods, by heating the

substance with potassium bichromate and sulphuric acid. This process

has been considerably developed by J. Messinger, and we may hope that

with subsequent improvements it may be adapted to all classes of

organic compounds. The oxidation, which is effected by chromic acid

and sulphuric acid, is conducted in a flask provided with a funnel and

escape tube, and the carbon dioxide formed is swept by a current of

dry air, previously freed from carbon dioxide, through a drying tube

to a set of potash bulbs and a tube containing soda-lime; if halogens

are present, a small wash bottle containing potassium iodide, and a U

tube containing glass wool moistened with silver nitrate on one side

and strong sulphuric acid on the other, must be inserted between the

flask and the drying tube. The increase in weight of the potash bulbs

and soda-lime tube gives the weight of carbon dioxide evolved. C.F.

Cross and E.J. Bevan collected the carbon dioxide obtained in this way

over mercury. They also showed that carbon monoxide was given off

towards the end of the reaction, and oxygen was not evolved unless the

temperature exceeded 100 deg.

Methods depending upon oxidation in the presence of a contact

substance have come into favour during recent years. In that of M.

Dennstedt, which was first proposed in 1902, the substance is

vaporized in a tube containing at one end platinum foil, platinized

quartz, or platinized asbestos. The platinum is maintained at a bright

red heat, either by a gas flame or by an electric furnace, and the

vapour is passed over it by leading in a current of oxygen. If

nitrogen be present, a boat containing dry lead peroxide and heated to

320 deg. is inserted, the oxide decomposing any nitrogen peroxide which

may be formed. The same absorbent quantitatively takes up any halogen

and sulphur which may be present. The process is therefore adapted to

the simultaneous estimation of carbon, hydrogen, the halogens and

sulphur.

Nitrogen.

Nitrogen is estimated by (1) Dumas' method, which consists in heating

the substance with copper oxide and measuring the volume of nitrogen

liberated; (2) by Will and Varrentrapp's method, in which the

substance is heated with soda-lime, and the ammonia evolved is

absorbed in hydrochloric acid, and thence precipitated as ammonium

chlorplatinate or estimated volumetrically; or (3) by Kjeldahl's

method, in which the substance is dissolved in concentrated sulphuric

acid, potassium permanganate added, the liquid diluted and boiled with

caustic soda, and the evolved ammonia absorbed in hydrochloric acid

and estimated as in Will and Varrentrapp's method.

[Illustration: FIG. 5.]

_Dumas' Method._--In this method the operation is carried out in a

hard glass tube sealed at one end and packed as shown in fig. 5. The

magnesite (a) serves for the generation of carbon dioxide which clears

the tube of air before the compound (mixed with fine copper oxide (b))

is burned, and afterwards sweeps the liberated nitrogen into the

receiving vessel (e), which contains a strong potash solution; c is

coarse copper oxide; and d a reduced copper gauze spiral, heated in

order to decompose any nitrogen oxides. Ulrich Kreusler generates the

carbon dioxide in a separate apparatus, and in this case the tube is

drawn out to a capillary at the end (a). This artifice is specially

valuable when the substance decomposes or volatilizes in a warm

current of carbon dioxide. Various forms of the absorbing apparatus

(e) have been discussed by M. Ilinski (_Ber._ 17, p. 1347), who has

also suggested the use of manganese carbonate instead of magnesite,

since the change of colour enables one to follow the decomposition.

Substances which burn with difficulty may be mixed with mercuric oxide

in addition to copper oxide.

_Will and Varrentrapp's Method._--This method, as originally proposed,

is not in common use, but has been superseded by Kjeldahl's method,

since the nitrogen generally comes out too low. It is susceptible of

wider application by mixing reducing agents with the soda-lime: thus

Goldberg (_Ber._ 16, p. 2546) uses a mixture of soda-lime, stannous

chloride and sulphur for nitro- and azo-compounds, and C. Arnold

(_Ber._ 18, p. 806) a mixture containing sodium hyposulphite and

sodium formate for nitrates.

_Kjeldahl's Method._--This method rapidly came into favour on account

of its simplicity, both of operation and apparatus. Various substances

other than potassium permanganate have been suggested for facilitating

the operation; J.W. Gunning (_Z. anal. Chem._, 1889, p. 189) uses

potassium sulphate; Lassar-Cohn uses mercuric oxide. The applicability

of the process has been examined by F.W. Dafert (_Z. anal. Chem._,

1888, p. 224), who has divided nitrogenous bodies into two classes

with respect to it. The first class includes those substances which

require no preliminary treatment, and comprises the amides and

ammonium compounds, pyridines, quinolines, alkaloids, albumens and

related bodies; the second class requires preliminary treatment and

comprises, with few exceptions, the nitro-, nitroso-, azo-, diazo- and

amidoazo-compounds, hydrazines, derivatives of nitric and nitrous

acids, and probably cyanogen compounds. Other improvements have been

suggested by Dyer (_J.C.S. Trans._ 67, p. 811). For an experimental

comparison of the accuracy of the Dumas, Will-Varrentrapp and Kjeldahl

processes see L. L'Hote, _C.R._ 1889, p. 817. Debordeaux (_C.R._ 1904,

p. 905) has obtained good results by distilling the substance with a

mixture of potassium thiosulphate and sulphide.

Halogens, sulphur, phosphorus.

The halogens may be estimated by ignition with quicklime, or by

heating with nitric acid and silver nitrate in a sealed tube. In the

first method the substance, mixed with quicklime free from chlorine,

is heated in a tube closed at one end in a combustion furnace. The

product is dissolved in water, and the calcium haloid estimated in the

usual way. The same decomposition may be effected by igniting with

iron, ferric oxide and sodium carbonate (E. Kopp, _Ber._ 10, p. 290);

the operation is easier if the lime be mixed with sodium carbonate, or

a mixture of sodium carbonate and potassium nitrate be used. With

iodine compounds, iodic acid is likely to be formed, and hence the

solution must be reduced with sulphurous acid before precipitation

with silver nitrate. C. Zulkowsky (_Ber._ 18, R. 648) burns the

substance in oxygen, conducts the gases over platinized sand, and

collects the products in suitable receivers. The oxidation with nitric

acid in sealed tubes at a temperature of 150 deg. to 200 deg. for

aliphatic compounds, and 250 deg. to 260 deg. for aromatic compounds,

is in common use, for both the sulphur and phosphorus can be

estimated, the former being oxidized to sulphuric acid and the latter

to phosphoric acid. This method was due to L. Carius (_Ann._ 136, p.

129). R. Klason (_Ber._ 19, p. 1910) determines sulphur and the

halogens by oxidizing the substance in a current of oxygen and nitrous

fumes, conducting the vapours over platinum foil, and absorbing the

vapours in suitable receivers. Sulphur and phosphorus can sometimes be

estimated by Messinger's method, in which the oxidation is effected by

potassium permanganate and caustic alkali, or by potassium bichromate

and hydrochloric acid. A comparison of the various methods for

estimating sulphur has been given by O. Hammarsten (_Zeit. physiolog.

Chem._ 9, p. 273), and by Holand (_Chemiker Zeitung_, 1893, p. 991).

H.H. Pringsheim (_Ber._ 38, p. 1434) has devised a method in which the

oxidation is effected by sodium peroxide; the halogens, phosphorus and

sulphur can be determined by one operation.

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