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  4. The ratio of adiabatic bulk modulus and isothermal bulk modulus of a gas is (γ=Cp / Cv) :

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Q. The ratio of adiabatic bulk modulus and isothermal bulk modulus of a gas is $\left(\gamma=C_{p} / C_{v}\right)$ :

Thermodynamics

Solution:

Adiabatic elasticity,
$E_{\phi}=\gamma p$
Isothermal elasticity,$E_{\theta}=p$
$\frac{E_{\phi}}{E_{\theta}}=\frac{\gamma p}{p}=\gamma$