The means employed to find the location of absolute zero are of much
interest. It has been observed that when heated a gas tends to expand.
If a measured volume of air at 0°C. is cooled or heated 1°C., it changes
its volume 1/273, the pressure remaining the same. If it is cooled 10°
it loses 10/273, if cooled 100° it loses 100/273 and so on. No matter
how far it is cooled the same rate of reduction continues as long as it
remains in the gaseous state. From these facts it is concluded that if
the cooling could be carried down 273° that the volume would be reduced
273/273 or that the volume of the gas would be reduced to nothing. This
is believed to mean that the molecular motion constituting heat would
cease rather than that the matter composing the gas would disappear.
Scientists have been able to obtain temperatures of extreme cold far
down on the absolute scale. Liquid air has a temperature of -292°F., or
-180°C. or 93°A. The lowest temperature thus far reported is 1.7°A. or
-271.3°C., obtained in 1911, by evaporating liquid helium.
=145. The Law of Charles.=--The facts given in the last paragraph mean
that if 273 ccm. of a gas at 0°C. or 273° A. are cooled 100°, or to
-100°C., or 173°A., then it will lose 100/273 of its volume or have a
volume of 173 ccm. If warmed 100°, or up to 100°C., or 373°A., it will
have a volume of 373 ccm. It follows then that in every case the volume
will correspond to its absolute temperature, providing the pressure
remains unchanged. The expression of this fact in scientific language is
called the law of _Charles_. _At a constant pressure the volume of a
given mass of gas is proportional to its absolute temperature._
Expressed mathematically, we have _V_{1}/V_{2} = T_{1}/T_{2}_. Compare
the statement and mathematical expression of the laws of Charles and
Boyle.
The formulas for the laws of Boyle and Charles are sometimes combined
into one expression as follows:
_PV/T = P´V´/T´_
or the product of the volume and pressure of a constant mass of gas is
proportional to its absolute temperature.
Important Topics
1. Heat units; calorie, British thermal unit.
2. Three thermometer scales, fixed points on each.
3. Absolute zero, how determined. Its value on each scale.
4. Law of Charles, its meaning. Combination of laws of Boyle and
Charles.
Exercises
1. Does ice melt at the same temperature at which water freezes? Express
the temperature of freezing water on the three thermometer scales.
2. A comfortable room temperature is 68°F. What is this temperature on
the centigrade and absolute scales?
3. Change a temperature of 15°C. to F.; 15°F. to C.; -4°C. to F.; -20°F.
to C.
4. The temperature of the human body is 98.6°F. What is this temperature
on the absolute and centigrade scales?
5. The temperature of liquid air is -180°C. What is it on the Fahrenheit
scale?
6. Mercury is a solid at -40°F. What is this on the centigrade scale?
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