Question

For a gas, $\gamma =9/7$. What is the number of degrees of freedom of the molecules of the gas?

Answer 1

Given,

$\gamma =\frac{9}{7}$

Now,

$\begin{array}{c}\gamma =\frac{9}{7}\\ \Rightarrow \gamma =\frac{f+2}{f}\\ \Rightarrow \frac{f+2}{f}=\frac{9}{7}\\ \Rightarrow f=7\end{array}$

$\therefore$ Degree of freedom is $7$.