Molecules of an ideal gas | Thermodynamics

JEE MAIN 2020

06.09.20_S1

Question

Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, $U$ of a mole of this gas, and the value of $\gamma\left(=\frac{C_p}{C_v}\right)$ are given, respectively, by

Select the correct option:

$\mathrm{U}=5 \mathrm{RT}$ and $\gamma=\frac{7}{5}$

$\mathrm{U}=\frac{5}{2} \mathrm{RT}$ and $\gamma=\frac{6}{5}$

$\mathrm{U}=5 \mathrm{RT}$ and $\gamma=\frac{6}{5}$

$\mathrm{U}=\frac{5}{2} \mathrm{RT}$ and $\gamma=\frac{7}{5}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution