Law of equipartition of energy

Question

The ratio of specific heats at constant pressure & volume of a gas is 9/7, then the number of degrees of freedom of the gas molecules is :

Easy

Solution

${\mathrm{C}}_{\mathrm{p}}/{\mathrm{C}}_{\mathrm{v}}=1+\frac{2}{\mathrm{f}}=\frac{9}{7}\Rightarrow f=7$

where f is the degrees of freedom

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