Question

If $\gamma$ is the ratio specific heats of an ideal gas, the number of degree of freedom of molecules of the gas is

• A. $\gamma -1$
• B. $3(\gamma -1)$
• C. $\frac{2}{\gamma -1}$
• D. $\frac{2}{\gamma -2}$

Answer 1

The correct option is A $\gamma -1$

If $\gamma$ is the ratio specific heats of an ideal gas,

The number of degree of freedom of molecules of the gas

$=\gamma -1\frac{C_p}{C_v}=\gamma =1+\left(\frac{2}{f}\right)\gamma -1=\frac{2}{5}f=\gamma -1$