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:
(1) Statement I is correct but Statement II is incorrect.
(2) Both Statement I and Statement II are incorrect
(3) Statement I is incorrect but Statement II is correct
(4) Both Statement I and Statement II are correct.