CHAPTER IV

MECHANICS OF GASES

(1) WEIGHT AND PRESSURE OF THE AIR

=51. Weight of Air.=--It is said that savages are unaware of the

presence of _air_. They feel the _wind_ and hear and see it moving the

leaves and branches of the trees, but of air itself they have little

conception.

To ordinary observers, it seems to have no weight, and to offer little

resistance to bodies passing through it. That it has weight may be

readily shown as follows: (See Fig. 29.) If a hollow metal sphere, or a

glass flask, provided with tube and stopcock, be weighed when the

stopcock is open, and then after the air has been exhausted from it by

an air pump, a definite loss of weight is noticeable.

[Illustration: FIG. 29.--Proof that air has weight.]

If the volume of the sphere is known and it is well exhausted of air, a

fair approximation of the weight of air may be obtained. Under

"_standard conditions_," which means _at the freezing temperature_ and a

barometric pressure of 76 cm., a liter of air weighs 1.293 g. while 12

cu. ft. of air weigh approximately 1 lb.

=52. Pressure of Air.=--Since air has weight it may be supposed to exert

pressure like a liquid. That it does so may be shown in a variety of

ways.

If a plunger fitting tightly in a glass cylinder be drawn upward, while

the lower end of the tube is under water, the water will rise in the

tube (Fig. 30). The common explanation of this is that the water rises

because of "suction." The philosophers of the ancient Greeks explained

it by saying that "nature abhors a vacuum," and therefore the water

rises. Neither explanation is correct. It was found in 1640 that water

would not rise in a pump more than 32 ft. despite the fact that a vacuum

was maintained above the water. Galileo was applied to for an

explanation. He said, "evidently nature's horror of a vacuum does not

extend above 32 ft." Galileo began tests upon "the power of a vacuum"

but dying left his pupil Torricelli to continue the experiment.

Torricelli reasoned that if water would rise 32 ft., then mercury, which

is 13.6 times as dense as water, would rise about 1/13 as much. To test

this, he performed the following famous experiment.

[Illustration: FIG. 30.--Air pressure forces the liquid up the tube.]

=53. Torricelli's Experiment (1643).=--Take a glass tube about 3 ft.

long, sealed at one end, and fill it with mercury. Close the end with

the finger and invert, placing the end closed by the finger under

mercury in a dish (Fig. 31). Remove the finger and the mercury sinks

until the top of the mercury is about 30 in. above the level of the

mercury in the dish. Torricelli concluded that the rise of liquids in

exhausted tubes is due to the pressure of the atmosphere acting on the

surface of the mercury in the dish.

To test this, place the tube with its mercury upon the plate of an air

pump and place a tubulated bell jar over the apparatus so that the tube

projects through a tightly fitting stopper. (See Fig. 32.) If the air

pressure is the cause of the rise of mercury in the tube, on removing

the air from the bell jar the mercury should fall in the tube. This is

seen to happen as soon as the pump is started. It is difficult to remove

all the air from the receiver so the mercury rarely falls to the same

level in the tube as in the dish. A small tube containing mercury is

often attached to air pumps to indicate the degree of exhaustion. Such

tubes are called _manometers_.

[Illustration: FIG. 31.--Torricelli's experiment.]

[Illustration: FIG. 32.--The mercury drops as the air is removed.]

=54. The Amount of Atmospheric Pressure.=--Torricelli's experiment

enables us to compute readily the pressure of the atmosphere, since it

is the atmospheric pressure that balances the column of mercury in the

tube. By Pascal's Law, the pressure of the atmosphere on the surface of

the mercury in the dish is transmitted as an exactly equal pressure on

the mercury column in the tube at the same level as the mercury

outside.

This pressure, due to the air, must balance the weight of the column of

mercury in the tube. It therefore equals the weight of the column of

mercury of unit cross-section. The average height of the column of

mercury at sea-level is 76 cm. Since the weight of 1 cc. of mercury is

13.6 grams, the pressure inside the tube at the level of the surface of

the mercury in the dish is equal to 1 × 76 × 13.6 or 1033.6 g. per

square centimeter. Therefore the _atmospheric pressure_ on the surface

of the mercury in the dish is 1033.6 g. per square centimeter,

approximately _1 kg. per square centimeter or 15 lbs. per square inch_.

=55. Pascal's Experiment.=--Pascal tested in another way the action of

atmospheric pressure upon the column of mercury by requesting his

brother-in-law, Perrier, who lived near a mountain, to try the

experiment on its top. Perrier found that on ascending 1000 meters the

mercury fell 8 cm. in the tube. Travelers, surveyors, and aviators

frequently determine the altitude above sea-level by reading the

barometer, an ascent of 11 meters giving a fall of about 1 mm. in the

mercury column, or 0.1 in. for every 90 ft. of ascent.

[Illustration: FIG. 33.--A standard barometer.]

_56. The Barometer._--The modern barometer (Fig. 33), consists of a

Torricellian tube properly mounted. Reading a barometer consists in

accurately reading the height of the mercury column. This height varies

from 75 to 76.5 cm. or 29 to 30 in. in localities not far from the

sea-level. The atmospheric pressure varies because of disturbances in

the atmosphere. It is found that these disturbances of the atmosphere

pass across the country from west to east in a somewhat regular manner,

hence a series of readings of the barometer may give reliable

information of the movement of these disturbances and so assist in

forecasting the weather. The weather Bureau has observations taken at

the same moment at various stations over the country. These observations

form the basis for the daily forecast of the weather.

[Illustration: FIG. 34.--An aneroid barometer]

Another form of barometer in common use is the _Aneroid Barometer_

(Fig. 34). Its essential parts are a cylindrical air-tight box with

an elastic corrugated cover. Inside the box is a partial vacuum.

This makes the cover very sensitive to slight changes of pressure.

The motion of the top of the box is conveyed by a series of levers

to an indicating hand which moves over a dial. This barometer can

be made so sensitive as to indicate the change of air pressure from

a table top to the floor. It is much used by travelers, explorers,

surveying parties and aviators, since the mercurial barometer is

inconvenient to carry.

Important Topics

1. _Weight_ and _Pressure_ of air in English and metric units. How

shown. Evidences.

2. Work of Galileo, Torricelli, and Perrier.

3. Barometer: construction, action, mercurial, aneroid.

[Illustration: FIG. 35.--Air pressure keeps the water In the tumbler.]

[Illustration: FIG. 36.--Cross-section of a modern drinking fountain.]

Exercises

1. Do you think Archimedes' Principle applies to the air? Does Pascal's

Law? Why?

2. Find the downward pressure of the mercury in a barometer tube if the

cross-section is 1 sq. cm. and the height 75 cm. at the level of the

mercury surface in contact with the air. (The density of mercury is 13.6

grams per cc.)

3. What is the weight of the air in a room if it is 10 × 8 × 4 meters?

4. What weight of air is in a room 10 × 15 × 10 ft.?

5. When smoke rises in a straight line from chimneys, is it an

indication of a high or low barometric pressure? Why?

6. Why does a tumbler filled with water and inverted in a dish with its

rim under water remain full?

7. If the barometer tube is inclined the mercury remains at the same

horizontal level. How can this be explained?

8. When the mercurial barometer stands at 76 cm., how high would a water

barometer stand? Explain.

9. Explain why it is possible for one to suck soda water through a tube?

10. Fill a tumbler with water. Place a sheet of paper over the top and

invert. The paper clings to the tumbler and prevents the water from

escaping. Explain. (See Fig. 35.)

11. Why must a kerosene oil can have two openings in order to allow the

oil to flow freely?

12. Explain the action of the modern drinking fountain (Fig. 36).

(2) COMPRESSIBILITY AND EXPANSIBILITY OF THE AIR

=57. Effect of Pressure on Liquids and Gases.=--Both classes of fluids,

liquids and gases, have many characteristics in common. Both are

composed of molecules that move freely; hence both _flow_. At any point

within a fluid the _pressure is the same in all directions_. Archimedes'

Principle applies, therefore, to both liquids and gases.

We now come to an important _difference_ between liquids and gases.

_Liquids_ are _practically incompressible_. "So much so, that if water

is subjected to a pressure of 3000 kg. per sq. cm., its volume is

reduced only about one-tenth." Gases show a very different behavior from

liquids on being subjected to pressure. They may readily be compressed

to a small fraction of their volume as is noticed on inflating a

pneumatic tire. A gas has also the _ability to spring back_ to a larger

volume as soon as the pressure is released, as when a cork is driven

from a pop gun. Not only is compressed air able to expand, but air

under ordinary conditions will expand if it is released in a space where

the pressure is less.

Hollow bodies, animals and plants, are not crushed by atmospheric

pressure, because the air and gases contained within exert as much force

outward as the air exerts inward.

=58. Boyle's Law.=--The relation between the volume and pressure of a

gas was first investigated by Robert Boyle in the seventeenth century.

The experiment by which he first discovered the law or the relation

between the volume and the pressure of a gas is briefly described as

follows:

[Illustration: FIG. 37 _a_.

FIG. 37 _b_.

FIGS. 37 _a_ AND 37 _b_.--Boyle's law apparatus.]

A glass tube is bent in the form of the capital letter J, the short

arm being closed. A little mercury is poured in to cover the bend.

(See Fig. 37 _a_.) Since the mercury is at the _same level in both

arms_, the pressure in (_A_) is the same as in (_B_). Mercury is

now poured into (_A_) until it stands in the long tube at a height

above that in (B) which is equal to the height of the mercury

column of the barometer. (See Fig. 37 _b_.) The air in (_BC_) is

now under a pressure of two atmospheres (one atmosphere is due to

the mercury column). On measurement the air in (_BC_) will be found

to have just one-half of its original volume.

Thus doubling the pressure to which a gas is subjected reduces its

volume to one-half. Tripling the pressure, reduces the volume to

one-third and so on.

Careful experiments reveal the following law: _The volume of a given

mass of gas at constant temperature is inversely proportional to the

pressure to which it is subjected_.

This law is often expressed mathematically. _P/P´ = V´/V_, or _PV =

P´V´_. Since doubling the pressure reduces the volume one-half, it

doubles the density. Tripling the pressure triples the density. We

therefore have _P/P´ = D/D´_ or the density of a gas directly

proportional to its pressure.

[Illustration: FIG. 38.--Height and density of the air.]

=59. Height of the Atmosphere.=--From its properties of _compression_

and _expansion_, the air varies in density and pressure as one ascends

in it. At a height of 3 miles the pressure is reduced to about one-half.

This is an indication that one-half of the air is below this level.

Balloonists have gone to a height of 7 miles, Glaser and Coxwell in

England in 1862 and Berson in France in 1901. The atmosphere has been

explored to a height of 30,500 meters (18.95 miles) by sending up

self-registering barometers in small balloons which burst at great

altitudes. A parachute protects the instruments from breakage from too

rapid fall. This height of 30,500 meters was reached by a balloon sent

up by William R. Blair, at Huron, South Dakota, September 1, 1910.

At a height of 35 miles, the density is estimated at 1/30,000 of its

value at sea-level. (See Fig. 38.) It is believed that some rarefied air

exists for a considerable distance above this point, some estimates

placing the extent at 100 miles, and others from 200 to 500 miles.

Evidences of some air at such heights are shown by: (a) the height at

which meteors first appear, (b) the height of the Aurora Borealis, and

(c), the distance that the sun is below the horizon when the last traces

of color disappear from the sky in the evening.

Although the exact limits of the atmosphere are unknown, the weight of a

column of air 1 sq. cm. in cross-section, and extending _upward as high

as the atmosphere_, may be accurately computed. For this column of air

exactly balances the column of mercury in the tube of the barometer.

Below sea-level, the air increases rapidly in density and it is

estimated that at a depth of 35 miles, the density of the air would be a

thousand times that at the earth's surface, or more than that of water.

Important Topics

1. Evidence of compressibility of gases and incompressibility of

liquids.

2. Boyle's Law. Proof, applications.

3. Extent of the atmosphere--three evidences.

Exercises

1. Mention three illustrations of the compressibility and expansibility

of air that you know from your own experience.

2. Increasing the pressure increases the amount of a gas that will be

absorbed by a liquid? Explain this. Have you ever observed this fact?

Where?

3. If a toy balloon containing 2000 ccm. of gas at the earth's surface

where the barometer reading is 76 cm., rises to an elevation where the

barometer reads 54 cm., the balloon will tend to expand to what volume?

Explain. Will it attain this volume?

4. If a gas is compressed, it changes in temperature. How do you explain

this?

5. What change in temperature will occur when compressed air is allowed

to expand? Explain.

6. Air blowing up a mountain side has its pressure lessened as it

approaches the top. How will this affect the temperature? Why? What may

result from this change in temperature? Explain.

7. To what pressure must 500 ccm. of air be subjected to compress it to

300 ccm. the barometer reading at first being 75 cm. Explain.

[Illustration: FIG. 39.--The air pump.]

(3) PNEUMATIC APPLIANCES

=60. The Air Pump.=--The air pump is used to remove air or other gases

from a closed vessel. It was invented about 1650 by Otto Von Guericke,

burgomaster of Magdeburg, Germany. One form of air pump is shown in

Fig. 39. _C_ is a cylinder within which slides a tightly fitting piston.

_R_ is the vessel from which the air is to be exhausted. _r_ and _u_ are

valves opening upward. The action of the pump is as follows:

On pushing the piston down, the air in _C_ is compressed. This opens

valve _r_ allowing the confined air to escape above the piston. The

piston is then raised making the space in _C_ a partial vacuum. The

pressure in _R_ now being greater than in _C_, _u_ is pushed up and the

air from _R_ rushes into _C_, until the pressure is equalized. On

pushing down the piston again, valve _u_ closes and the process is

repeated until the pressure in _R_ is no longer able to raise the valve

_u_. Some air pumps are so constructed that the valves are opened and

closed automatically by the movement of the piston. With these pumps a

higher degree of rarefaction can be obtained.

Air is often partially exhausted from receivers or vessels by the use of

a filter pump or _aspirator_. A stream of water flowing through a

constriction causes a reduced pressure, draws in air and carries it

away, and thus produces a partial vacuum. See Fig. 40 for a section of

the device.

[Illustration: FIG. 40.--An aspirator.]

=61. The Condensing Pump.=--This is like the exhaust pump except that

its valves are reversed. It is used in compressing illuminating gases

into cylinders for use in lighting vehicles, stereopticons, Pintsch

lights, gas light buoys, etc., and also for compressing air to operate

air brakes, pneumatic hammers and drills, and for other uses.

The common condensing pump is the kind used for inflating tires. (See

Fig. 41.) In this, a loosely fitting metal piston is attached to a disc

of leather somewhat larger than the cylinder. This device is called a

_cup valve_. On raising the piston, air rushes in from the top past the

valve, but on pushing the piston down, the valve is pressed tightly

against the sides of the cylinder and prevents the escape of any air.

The compressed air pushes open a valve on the tire and enters it. This

valve closes as soon as the pressure is lessened from outside. It is

well to notice in all of these pumps that _two_ valves are used. One

holds the air already secured while the other opens for a new supply.

Both valves are never open at the same time.

[Illustration: FIG. 41.--Condensing pump used in inflating tires.]

=62. Water Pumps.--The Common Lift Pump.= This, the simplest pump for

raising water, consists of a cylinder _C_ (Fig. 42) connected by a pipe

_R_ to a supply of water as a cistern or well. A valve opening upward is

placed at the bottom of the cylinder over the entrance to the pipe. In

the cylinder is a tightly fitting piston connected by a rod to a lever

for ease in action. The piston contains a valve opening upward. In

operating this pump water is usually first poured into the cylinder to

"prime" it. This helps to close the valves and prevents air leaking past

them. When the piston is lowered the lower valve closes, the air in the

cylinder being compressed pushes the upper valve open and passes above

the piston. On raising the piston the upper valve closes. This forms a

partial vacuum in the cylinder.

The air pressing on the surface of the water below forces the water and

air that may be in the tube upward through the lower valve to fill this

partial vacuum.

When the cylinder becomes filled with water, this is lifted out on the

up-stroke, whence its name, "lift pump." Since the atmospheric pressure

at sea-level can only support a column of water about 34 ft. high, the

lower valve must be within this distance of the water surface. In actual

practice the limit is about 27 ft. In deeper wells, the cylinder and

valves are placed so that they are within 25 or 27 ft. of the surface of

the water in the well, a long piston rod reaching above the surface of

the ground and connected to a pump handle operates the piston. A

discharge pipe extends from the cylinder to the surface of the ground

above.

[Illustration: FIG. 42.--The common lift pump.]

[Illustration: FIG. 43.--A force pump with an air chamber (_A_).]

=63. The Force Pump.=--The force pump is used to deliver water under

pressure either for spraying or to an elevated reservoir. The piston is

solid, the second valve being placed at the entrance of the discharge

pipe. (See Fig. 43.) The action is the same as that of the lift pump,

with this exception; the piston in its down stroke forces the water out

through the discharge pipe, the velocity depending upon the pressure

exerted.

A force pump is usually provided with an air chamber which is connected

with the discharge pipe. On the down stroke of the piston, water is

forced into the air chamber. This compresses the air it contains. The

compressed air reacts and exerts pressure on the water forcing it out in

a steady stream.

Force pumps are used in deep wells, being placed at the bottom.

The pumps used in city water works, fire engines, and all steam pumps,

are force pumps. (See Fig. 44.)

[Illustration: FIG. 44.--A steam pump used on a fire engine.]

=64. The Siphon.=--The siphon is a tube used to convey a liquid from one

level over an elevation to a lower level by atmospheric pressure. It is

used to remove liquids from tanks or vessels that have no opening at the

bottom.

The siphon cannot be completely understood until one has mastered the

laws of the flow of liquids. The following is offered as an incomplete

explanation of its behavior. Consider the siphon to be full of water

and closed at _d_ (Fig. 45). Atmospheric pressure on _a_ will hold the

siphon full if _ab_ does not exceed 34 feet. If _d_ is opened the water

falls out with a speed equal to that acquired in falling from the level

of _a_ to that of _d_. This speed is acquired by all the water in the

siphon and results in a drop in pressure throughout it. The pressure at

_a_ inside the siphon becomes less than the pressure at the same level

outside as soon as the water starts flowing. The water in the vessel

then flows into the siphon and out at _d_. This flow continues as long

as there is a fall from the free surface of the water in the vessel to

the outlet at _d_.

[Illustration: FIG. 45.--Cross-section of a siphon.]

[Illustration: FIG. 46.--The Cartesian diver.]

=65. The Cartesian Diver.=--This is a device which illustrates at the

same time transmission of pressure by liquids, Archimedes' principle,

and compressibility of gases. It was invented by Des Cartes (1596-1650).

As ordinarily made, it is a hollow glass image with a small opening in

the foot. It contains air and water in such amounts that the average

density of image and contents is slightly less than that of water. It is

placed in a tall glass jar filled with water and covered with tightly

stretched rubber tissue. (See Fig. 46.) By pressing on the rubber cover

the diver may be made to sink, since the air and water transmit the

pressure on the cover which compresses the air inside the figure

admitting some water to it, thus making the diver more dense than

water. By varying the pressure it can be made to sink, rise, or remain

stationary at will.[D] A small vial can be used instead of the image.

[D] The position of a submarine in or under water is controlled in

a similar manner.

=66. Hydraulic Ram.=--The hydraulic ram (see Fig. 47) is an automatic

device that is much used for raising water from springs to houses

located on higher ground. Water flows through the pipe _A_ through the

opening at _B_. The pressure closes the valve at _B_. The increased

pressure in the pipe due to the closing of _B_ opens the valve _C_ and

some of the water flows into the air chamber _D_. This reduces the

pressure against the valve _B_ so that it drops and allows a little

water to escape. Just as this happens, valve _C_ closes. The pressure in

the pipe then closes _B_ and forces water past _C_. This action being

continually repeated, the air in _D_ becomes so compressed that it has

elastic force enough to raise the water in a steady stream to a height

of many feet.

[Illustration: FIG. 47.--Cross-section of a hydraulic ram.]

=67. The Balloon.=--Since air is a fluid, Archimedes' principle applies

to it as well as to liquids. Therefore any object in the air is lifted

up by a force equal to the weight of the air it displaces. The object

will rise, if it weighs less than this displaced air and will continue

to rise until both weights are equal.

_The Balloon_ (Fig. 48) rises because it weighs less than the air it

displaces, and therefore it is pushed up by the heavier air, the

"lifting power" being the difference between its weight and that of the

air displaced. The neck at the bottom is left open to allow for

expansion of the gas. When the aeronaut wishes to descend, he opens a

valve at the top allowing some of the gas to escape.

[Illustration: FIG. 48.--Winner of international championship race,

Paris, 1913.]

_Hydrogen_ is the lightest gas, weighing 0.09 kg. per cubic meter, and

so gives the greatest lifting power, but as it is expensive to make,

coal gas, density 0.75 kg. per cubic meter, is ordinarily employed.

Helium has recently been used to fill military balloons because it

cannot be set on fire.

_The Parachute_ (Fig. 49) is an umbrella-shaped device for use in

descending from a balloon. After falling a few seconds it opens, the

large surface exposed to the air causing it to descend slowly. The hole

in the top keeps the parachute upright by allowing the air to escape

through it, thus relieving the pressure.

[Illustration: FIG. 49.--A parachute.]

[Illustration: FIG. 50.--Cross-section of a Westinghouse air brake.]

=68. The Air Brake.=--Compressed air is used to do work in many

machines, such as pneumatic drills, hammers, and air brakes. The

Westinghouse air brake (Fig. 50) uses air at a pressure of about 70 lbs.

to the square inch. The essential parts as shown are a reservoir _R_,

the brake cylinder _C_ and a triple valve _V_, placed under each car

with an air pipe _P_, leading to the engine. This is connected to _R_ by

the triple valve _V_. When the pressure in _P_ is reduced by the

engineer or by accident, the triple valve operates so as to admit air

from _R_ into the cylinder _C_ pushing the piston _H_ to the left. _H_

is connected to the brakes by levers which press the brake shoes

strongly against the wheels. When the air pressure in _P_ is restored

the triple valve acts so as to permit the air in _C_ to escape while _R_

is filled again from _P_. The hissing sound heard when a train stops is

caused by air escaping from cylinder _C_. The spring in _C_ keeps the

brakes from the wheels except when the "air is on."

[Illustration: FIG. 51.--Cross-section of a gas meter showing its

construction and action.]

=69. The Gas Meter.=--The gas meter consists of a box divided into two

parts by a vertical partition (Fig. 51). Two bellows are attached to

this partition, one on each side. The valves that regulate the flow of

gas to and from the bellows and the chambers _A_ and _D_ are opened and

closed by levers connected with the bellows. These levers also operate

the hands upon the dials. When the inlet to the bellows _B_ is opened,

the outlet of _A_ is also opened. Gas entering _B_ opens the bellows and

forces the gas in _A_ out into the house-pipe _E_. When _B_ is full its

inlet valve closes and its outlet valve opens. The inlet of _A_ also

opens and its outlet closes. Gas now flows into _A_, compressing the

bellows and _B_, and forcing the gas from it into the house-pipe. At

each filling of the bellows _B_ there will be displaced from _A_ and

forced into the house-pipe as much gas as enters _B_. It is evident that

at each emptying of _B_ an equal amount of gas enters _A_. Thus we have

_A_ and _B_ alternately filling and emptying as long as the gas burner

is open. To have a continuous flow of gas in the house-pipes two pipes

and two chambers are necessary, one being filled while the other is

being emptied.

Fig. 52 represents the dials upon a gas meter showing a reading of

54,600 cu. ft.

[Illustration: FIG. 52.--Dials of a gas meter.]

=70. Centrifugal Pumps.= Fluids, such as water and air, are often put in

motion by devices called _centrifugal pumps_ (see Art. 78). These pumps

contain a revolving part, like a wheel without a rim, whose spokes are

replaced by thin blades. This revolving part resembles the paddle wheel

of some steam boats and is enclosed in a case or cover having one

opening at the rim and another opening on one side about the axle.

[Illustration: FIG. 53.--A vacuum sweeper. (_Courtesy of the Hoover

Suction Sweeper Co._)]

When the wheel is rapidly revolved, the fluid is driven out with

considerable force through the opening at the rim, while a partial

vacuum is produced at the axle causing a rapid flow into the device at

this point.

This is the principle of the action of the _vacuum cleaner_. Fig. 53 is

a section of a vacuum sweeper showing the revolving wheel and the

current of air passing into the wheel at the lower side and out of the

rim of the case at the rear.

_Centrifugal water pumps_ work on the same principle and furnish a

continuous flow of water, often large in volume and at considerable

pressure.

Important Topics

1. Air pump.

2. Condensing pump.

3. Lift and force pumps.

4. Siphon.

5. Cartesian diver.

6. Hydraulic ram.

7. Balloon.

8. Air brake.

9. Gas meter.

10. Vacuum cleaner.

Exercises

1. Explain why smoke settles to the ground before storms.

2. Why does the water rise in the suction pipe of a pump?

3. Why is it easier to float in water when the lungs are filled with air

than when they are not filled?

4. Why is it easier to swim in salt water than in fresh water?

5. How are submarines made to sink? to rise to the surface?

6. How can a fish rise or sink in water?

7. Explain why a life preserver made of cork will enable a person to

float.

8. Hold the open hand out flat with the fingers together. Place

underneath the fingers a piece of paper. Blow between the first and

second fingers against the paper. As long as you blow hard the paper

will not fall but will stick to the hand. Explain.

9. Why does pressing the bulb of an atomizer force out the liquid in a

fine spray?

10. Why is air that contains a large amount of water vapor lighter than

air that only contains a small amount?

11. How are heights above sea-level ascertained by a barometer?

12. Oil floats on water but sinks in alcohol. Explain.

13. In a balloon the lower end is often open to the air. Why does not

the gas escape and prevent the balloon from rising?

14. How long will a balloon continue to rise?

15. If the pressure against the 8-in. piston of an air brake is 70 lbs.

per square inch, how much force does the piston exert?

16. The capacity of a balloon is 40,000 cu. ft. The weight of the

balloon, car, etc., is 600 lbs.; specific gravity of the gas used is

0.46 that of the air. Find how much weight the balloon can carry.

17. The so-called Magdeburg hemispheres were invented by Otto von

Guericke of Magdeburg, Germany. When the hemispheres (see Fig. 54) are

placed in contact and the air exhausted it is found very difficult to

pull them apart. Explain.

18. Von Guericke's hemispheres had an inside diameter of 22 in. What

force would be required to pull them apart if all the air were exhausted

from them? (Find the atmospheric force on a circle, 22 in. in diameter.)

19. Von Guericke made a water barometer whose top extended through the

roof of his house. On the top of the water in the tube was placed a

wooden image. In fair weather the image appeared above the roof, but it

descended before a storm. Explain.

20. The balloon "Goodyear" (Fig. 48), which won the International

championship race at Paris in 1913, has a capacity of 80,000 cu. ft. The

gas bag weighs 653 lbs., the net 240 lbs. and the basket 92 lbs. How

large a load can it carry when filled with hydrogen specific gravity

0.069 (compared with air).

[Illustration: FIG. 54.--Magdeburg hemispheres.]

Review Outline: Liquids and Gases

Liquids: Force, pressure, and density. Floating and immersed bodies.

Laws: Liquid force, _F = A.h.d_, Pascal's, Archimedes. Illustrations and

Applications:

Specific gravity, _W_{a}/(W_{a} - W_{w})_, _(W_{a} - W_{l})/(W_{a}

- W_{w})_, Boyle's, _PV = P´V´_

Devices: Hydraulic press, air cushion, barometer--mercurial and aneroid.

Pumps, lift, force, vacuum, compression, centrifugal, balloon, siphon,

etc. Construction and action of each.

Physics · 第 4 / 18 章