Answer:
(a) (i) Hinsberg reagent (benzenesulfonyl chloride): Ethylamine (a 1° amine) forms N-ethylbenzenesulfonamide, which dissolves in aqueous KOH because it has an acidic H on nitrogen:
C6H5SO2Cl + H2N–C2H5 → C6H5SO2NH–C2H5 + HCl
(ii) Nitrous acid (NaNO2 + HCl): Ethylamine gives ethyl alcohol with brisk effervescence of nitrogen gas:
C2H5NH2 + HONO → C2H5OH + N2↑ + H2O
(b) In aqueous solution: (CH3)3N < CH3NH2 < (CH3)2NH. The +I effect of methyl groups increases basicity, but in water the cation is also stabilised by hydrogen bonding (solvation); the tertiary ammonium ion has only one N–H for H-bonding and the bulky groups cause steric hindrance, so trimethylamine is the weakest of the three. (In the gas phase, where only the inductive effect operates, the order is CH3NH2 < (CH3)2NH < (CH3)3N.)