Given below are two statements:
Statement $I$: 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 is equal to the translational kinetic energy of the molecules.
In the light of the above statements,choose the correct answer from the options given below:

• A
  Both Statement $I$ and Statement $II$ are true.
• B
  Statement $I$ is true but Statement $II$ is false.
• C
  Both Statement $I$ and Statement $II$ are false.
• D
  Statement $I$ is false but Statement $II$ is true.