Given below are two statements:
Statement $I$: One mole of propyne reacts with excess of sodium to liberate half a mole of $H_2$ gas.
Statement $II$: Four $g$ of propyne reacts with $NaNH_2$ to liberate $NH_3$ gas which occupies $224 \ mL$ at $STP$.
In the light of the above statements,choose the most appropriate answer from the options given below:

• A
  Statement $I$ is correct but Statement $II$ is incorrect.
• B
  Both Statement $I$ and Statement $II$ are incorrect.
• C
  Statement $I$ is incorrect but Statement $II$ is correct.
• D
  Both Statement $I$ and Statement $II$ are correct.