If a gas has $f$ degrees of freedom,what is the ratio ${C_p}/{C_v}$?

  • A
    $1 + \frac{2}{f}$
  • B
    $1 - \frac{2}{f}$
  • C
    $1 + \frac{1}{f}$
  • D
    $1 - \frac{1}{f}$

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The molar specific heat of an ideal gas at constant pressure and constant volume is $C_p$ and $C_v$ respectively. If $R$ is the universal gas constant and the ratio of $C_p$ to $C_v$ is $\gamma$,then $C_v=$

The specific heat of a gas:

The specific heat capacities of an ideal gas at constant pressure and at constant volume are $620 \ J \ kg^{-1} \ K^{-1}$ and $420 \ J \ kg^{-1} \ K^{-1}$ respectively. The density of the gas at $STP$ is approximately, (in $kg \ m^{-3}$)

If $\gamma$ is the ratio of specific heats and $R$ is the universal gas constant,then the molar specific heat at constant volume $C_{V}$ is given by

Match the List-$I$ with List-$II$:
List-$I$List-$II$
$A$. Triatomic rigid gas$I$. $\frac{C_P}{C_V} = \frac{5}{3}$
$B$. Diatomic non-rigid gas$II$. $\frac{C_P}{C_V} = \frac{7}{5}$
$C$. Monoatomic gas$III$. $\frac{C_P}{C_V} = \frac{4}{3}$
$D$. Diatomic rigid gas$IV$. $\frac{C_P}{C_V} = \frac{9}{7}$

Choose the correct answer from the options given below:

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