To determine the accuracy of Statements I and II, let's analyze each one:
Statement I: One mole of propyne reacts with excess of sodium to liberate half a mole of H₂ gas.
The reaction of propyne (C₃H₄) with sodium (Na) involves the acidic hydrogen present in the terminal alkyne. The reaction is:
C₃H₃ - H + Na → C₃H₃Na + 1/2 H₂
In this reaction, one mole of propyne reacts with sodium to form sodium propyne and release half a mole of hydrogen gas. Therefore, Statement I is correct.
Statement II: Four g of propyne reacts with NaNH₂ to liberate NH₃ gas which occupies 224 mL at STP.
First, calculate the amount of propyne:
When propyne reacts with NaNH₂, the hydrogen atom is replaced, and NH₃ gas is formed. According to stoichiometry, 1 mole of NaNH₂ liberates 1 mole of NH₃:
C₃H₄ + NaNH₂ → C₃H₃Na + NH₃
The molar volume of gas at STP is 22.4 L/mol. Hence, the volume occupied by 0.1 mol NH₃ at STP is:
The calculated volume of NH₃ is 2.24 L, not 224 mL. Hence, Statement II is incorrect.
In conclusion, the correct choice is: Statement I is correct but Statement II is incorrect.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ\text{C}\) to \(120^\circ\text{C}\)? 