HEAT CAPACITY RATIO
(Last Revision: September 18, 2003)
A modification of the text experiment to
determine the heat capacity ratio of gases is used to find the heat capacity
ratio for two gases. A differential pressure transducer is used instead
of a manometer in addition to other changes.
"Experiments in Physical Chemistry", Nibler, Garland,
and Shoemaker, Seventh Ed., McGraw-Hill, 2003, pp. 104-112.
William M. Moore, J. Chem. Ed. 61, 1119-1120
(1984).
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GENERAL DESCRIPTION AND THEORY:
The heat capacity ratio for a gas may be
found by performing an adiabatic expansion of a gas. The general theory
of the process is found in the text
Large Carboy, gas cylinders with regulators,
differential pressure meter, laboratory barometer.
Nitrogen, Helium, Carbon Dioxide.
Figure 1

Figure 2
The laboratory procedure differs from that
in the text in that a differential pressure transducer is used to measure
the difference in pressure between the carboy and the room. The output
of the transducer is read on a voltmeter which is attached to the terminals
of the transducer box. The transducer should read 1.000 volts when the
carboy is open to the atmosphere if it does not read 1.000 volts, the value
greater than 1.000 must be subtracted from all the readings. The transducer
is calibrated to cover 0 to 1 psi in the voltage range 1 to 5 v. That is
1 volt represents 0 psi difference and 5 volts indicates 1 psi difference
in pressure. The actual pressure is found by adding the differential pressure
to the barometric pressure found from the laboratory barometer. When adding
gas to the carboy, the maximum buildup of gas pressure should be about
3 v on the differential pressure meter.
The general procedure of the experiment is
the same as that described in the text, except for the use of the differential
pressure transducer.
Calculations should proceed as described
in the text, except that the voltage reading must be converted to pressure
units of mm of Hg. This may be done by a linear conversion.