Given below are two statement 

Statement $-I$ : What $\mu$ amount of an ideal gas undergoes adiabatic change from state $\left( P _{1}, V _{1}, T _{1}\right)$ to state $\left( P _{2}, V _{2}, T _{2}\right)$, the work done is $W =\frac{1 R \left( T _{2}- T _{1}\right)}{1-\gamma}$, where $\gamma=\frac{ C _{ P }}{ C _{ V }}$ and $R =$ 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

  • ABoth statement $-I$ and statement $-II$ are true.
  • BBoth statement $-I$ and statement $-II$ are false.
  • CStatement $-I$ is true but statement $-II$ is false.
  • DStatement $-I$ is false but statement $-II$ is true.
JEE MAIN 2022, Medium
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