(A) For a gas with $n$ degrees of freedom, the molar heat capacity at constant volume is given by $C_V = \frac{n}{2}R$.Using Mayer's relation, the mol

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(A) For a gas with $n$ degrees of freedom, the molar heat capacity at constant volume is given by $C_V = \frac{n}{2}R$.Using Mayer's relation, the molar heat capacity at constant pressure is $C_p = C_V + R = \frac{n}{2}R + R = \left(\frac{n}{2} + 1\right)R = \left(\frac{n+2}{2}\right)R$.The ratio of specific heats $\gamma = \frac{C_p}{C_V}$ is calculated as:$\gamma = \frac{(\frac{n+2}{2})R}{(\frac{n}{2})R} = \frac{n+2}{n}$.

Class 11 Physics Kinetic Theory of Gases Molar Specific Heat of gas and relation between them (Mayer's formula)

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If a gas has $n$ degrees of freedom, then the ratio of $\frac{C_p}{C_V}$ is

TS EAMCET 2020 All TS EAMCET

A
$\frac{n+2}{n}$
B
$\frac{2n+1}{n}$
C
$\frac{n+2}{2n}$
D
$\frac{n+4}{2n}$

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Kinetic Theory of Gases

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Molar Specific Heat of gas and relation between them (Mayer's formula)

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If a gas has $n$ degrees of freedom, then the ratio of $\frac{C_p}{C_V}$ is

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