Measuring the heat capacity ratios,
γ, of gases either through
adiabatic expansion or sound velocity is a well-established physical
chemistry experiment. The most accurate experiments depend on an exact
determination of sound origin, which necessitates the use of lasers
or a wave generator, where time zero is based on an electrical trigger.
Other experiments use loudspeakers as the sound source, which eliminates
the ability to accurately measure time zero of sound generation. To
date, experimental heat capacity ratio data have been reported for
measurements at room temperature. We have designed an apparatus to
directly measure the speed of sound generated as a result of nitrocellulose
ignition via two microphones. Our experimental design also provides
the ability to measure the speed of sound at various temperatures
and thus determine the heat capacity ratio as a function of temperature.
When implemented in a junior-level physical chemistry laboratory course,
students learned to use equipment with which they were unfamiliar,
such as home-built ignition circuits, a vacuum pump, thermocouple
temperature and vacuum gauges, gas cylinders, and an oscilloscope.
Students used the data to determine the speed of sound and heat capacity
ratio through nitrogen, carbon dioxide, atmospheric air, and argon
gases both at 298 K and approximately 253 K. Error analyses of the
experimental speed of sound and heat capacity ratio using percent
error and propagation of error were performed to ensure a high level
of accuracy and precision.