Statement $I :$ In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.
Statement $II :$ In a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule.
In the light of the above statements, choose the correct answer from the options given below:
Statements $I:$ The temperature of a gas is $-73^{\circ}\,C$. When the gas is heated to $527^{\circ}\,C$, the root mean square speed of the molecules is doubled.
Statement $II:$ The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below :