The correct relation between the degree of freedom $f$ and the ratio of specific heat $\gamma$ is

For a gas,the difference between the two specific heats is $4150 \ J \ kg^{-1} \ K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J \ kg^{-1} \ K^{-1}$?

The specific heat at constant pressure and at constant volume for an ideal gas are $C_p$ and $C_v$,and its adiabatic and isothermal elasticities are $E_{\phi}$ and $E_{\theta}$ respectively. The ratio of $E_{\phi}$ to $E_{\theta}$ is

The average degree of freedom per molecule of a gas is $6$. The gas performs $25 \ J$ work,while expanding at constant pressure. The heat absorbed by the gas is .... $J$

Which of the following formulae is wrong?

Match the $\frac{C_{P}}{C_{v}}$ ratio for ideal gases with different types of molecules:

Molecule type	$\frac{C_{P}}{C_{v}}$
$A$. Monoatomic	$I$. $\frac{7}{5}$
$B$. Diatomic rigid molecules	$II$. $\frac{9}{7}$
$C$. Diatomic non-rigid molecules	$III$. $\frac{4}{3}$
$D$. Triatomic rigid molecules	$IV$. $\frac{5}{3}$