Determining the heat capacity ratio of air by sound wave analysis of Helmholtz resonance
Abstract
In this work, the heat capacity ratio of air at room temperature is determined by wave analysis of Helmholtz resonance. By popping a cork stopper from the mouth of a wine bottle and analyzing the frequency components of the sound, we obtained the heat capacity ratio γ = 1.36±0.07. The random error is attributed mostly to uncertainties in the reading of the Helmholtz resonator's cavity volume and effective length. This method looks suitable for the undergraduate physics laboratory as it introduces the concept of Helmholtz resonance at the same time provide an alternative method for measuring the heat capacity ratio.