The ratio of the specific heats $C_P/C_V = \gamma$ in terms of degrees of freedom ($n$) is given by:

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1.  **Specific Heat at Constant Volume ($C_V$):** According to the Law of Equipartition of Energy, for a gas with $n$ degrees of freedom, the molar specific heat at constant volume is given by $C_V = \frac{n}{2}R$, where $R$ is the universal gas constant .
2.  **Specific Heat at Constant Pressure ($C_P$):** Using Mayer's relation for an ideal gas, $C_P - C_V = R$. Substituting the value of $C_V$, we get $C_P = \frac{n}{2}R + R = R(\frac{n}{2} + 1) = R(\frac{n+2}{2})$.
3.  **Ratio of Specific Heats ($\gamma$):** The ratio is defined as $\gamma = \frac{C_P}{C_V}$.
    Substituting the expressions:
    $\gamma = \frac{R(\frac{n+2}{2})}{\frac{n}{2}R} = \frac{n+2}{n} = 1 + \frac{2}{n}$.

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