Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

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

1 + 1/n

1 + n/3

1 + 2/n

1 + n/2

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 .
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 $C_P = \frac{n}{2}R + R = R(\frac{n}{2} + 1) = R(\frac{n+2}{2})$ .
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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