Question

At standard temperature and pressure, the density of a gas is $1.3kg{m}^{-3}$ and the speed of sound in gas is $330m{s}^{-1}$. Then the degree of freedom of the gas will be

• A. $5$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is A $5$

We know that, $v=\sqrt{\frac{\gamma p}{\rho }}$
$\gamma =\frac{v^{2}p}{p}$
$=\frac{(330{)}^2\times 1.3}{1.015\times {10}^5}=1.4$
$1+\frac{2}{n}=1.4$
$n=5$.