(C) For a monoatomic gas,the degrees of freedom $f = 3$. The ratio of specific heats is $\gamma_1 = 1 + \frac{2}{f} = 1 + \frac{2}{3} = \frac{5}{3}$.F

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(C) For a monoatomic gas,the degrees of freedom $f = 3$. The ratio of specific heats is $\gamma_1 = 1 + \frac{2}{f} = 1 + \frac{2}{3} = \frac{5}{3}$.For a rigid diatomic gas,the degrees of freedom $f = 5$ ($3$ translational + $2$ rotational). The ratio of specific heats is $\gamma_2 = 1 + \frac{2}{f} = 1 + \frac{2}{5} = \frac{7}{5}$.Therefore,the ratio $\frac{\gamma_2}{\gamma_1} = \frac{7/5}{5/3} = \frac{7}{5} \times \frac{3}{5} = \frac{21}{25}$.

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

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Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_2}{\gamma_1}$ is

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A
$\frac{37}{21}$
B
$\frac{27}{35}$
C
$\frac{21}{25}$
D
$\frac{35}{27}$

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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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Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_2}{\gamma_1}$ is

Similar Questions

The amount of heat that must be supplied to $35 \ g$ of oxygen at room temperature to raise its temperature by $80^{\circ} C$ at constant volume is (molecular mass of oxygen is $32$ and $R = 8.3 \ J \ mol^{-1} \ K^{-1}$) (in $kJ$)

The total internal energy of $2$ mole monoatomic ideal gas at temperature $T=300\,K$ will be ...........$J$. (Given $R = 8.31\,J/mol\cdot K$)

Can we use the degree of freedom to obtain the specific heat capacity of a gas? Explain.

The heat energy required to raise the temperature of $5 \, moles$ of an ideal gas by $5 \, K$ at constant pressure is $600 \, J$. How much heat (in $J$) is required to raise the same mass of the same gas by $5 \, K$ at constant volume? (Take $R = 8.3 \, J/mol \cdot K$)

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