The specific heat at constant pressure and at constant volume for an ideal gas are ${C_p}$ and ${C_v}$ and its adiabatic and isothermal elasticities are ${E_\varphi }$ and ${E_\theta }$ respectively. The ratio of ${E_\varphi }$ to ${E_\theta }$ is
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(b) Ratio of adiabatic and isothermal elasticities
$\frac{{E\varphi }}{{E\theta }} = \frac{{\gamma \,P}}{P} = \gamma = \frac{{{C_p}}}{{{C_v}}}$
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