Given below are two statements:
Statement-$I$: When $\mu$ amount of an ideal gas undergoes adiabatic change from state $(P_1, V_1, T_1)$ to state $(P_2, V_2, T_2)$,the work done is $W = \frac{\mu R(T_2 - T_1)}{1 - \gamma}$,where $\gamma = \frac{C_P}{C_V}$ and $R$ is the universal gas constant.
Statement-$II$: In the above case,when work is done on the gas,the temperature of the gas would rise.
Choose the correct answer from the options given below:

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