Core Logic
Identify compound 'x':
Molecular formula C₆H₇N$C_6H_7N$ indicates a high degree of unsaturation (Degree of Unsaturation = 6 - 7/2 + 1/2 + 1 = 4$6 - 7/2 + 1/2 + 1 = 4$), characteristic of a benzene ring. Given it dissolves in dilute mineral acid (due to protonation forming a salt), it's a basic amine. Since it produces an unpleasant-smelling compound 'y' with CHCl₃$CHCl_3$ and alc. KOH, it gives a positive carbylamine test, meaning 'x' is a primary amine. Thus, 'x' is Aniline (Ph-NH₂$Ph-NH_2$).
Compound 'y' is phenyl isocyanide (Ph-NC$Ph-NC$).
Step 1: Identifying compound 'z'
Reaction with benzenesulphonyl chloride (Hinsberg's reagent):
Aniline reacts with Ph-SO₂Cl$Ph-SO_2Cl$ to form N$N$-phenylbenzenesulfonamide, which is 'z'.
Structure of 'z': Ph-NH-SO₂-Ph$Ph-NH-SO_2-Ph$.
Because 'z' has an acidic proton on the nitrogen, it is soluble in alkali, confirming our deduction.
Step 2: Counting different "H" atoms
Let's map the types of Hydrogen atoms (chemically distinct environments by symmetry) on the molecule 'z' (Ph-NH-SO₂-Ph$Ph-NH-SO_2-Ph$):
Pattern Recognition
Whenever you see CHCl₃$CHCl_3$ + alc. KOH producing an foul smell, it's definitively the Carbylamine test marking a primary amine. Soluble in alkali after Hinsberg's reagent confirms it's a 1°$1^{\circ}$ amine.
Chapter Mix
Class 12 Chemistry: Amines