The reaction of amines with \(\mathrm{NaNO}_2\) and \(\mathrm{HCl}\) at low temperatures (e.g., 275 K, or 2°C) forms diazonium salts or other products, depending on the amine type. The evolution of \(\mathrm{N}_2\) gas is characteristic of diazonium salt formation and subsequent decomposition.
Step 1: Reaction with \(\mathrm{NaNO}_2 + \mathrm{HCl}\)
- Primary aliphatic amines (\({RNH2}\)): Form diazonium ions (\({RN2^+}\)), which are unstable and decompose to alcohols, releasing \({N2}\): \[ {RNH2 + NaNO2 + HCl -> RN2^+ -> ROH + N2 + H^+} \] - Primary aromatic amines (\({ArNH2}\)): Form stable diazonium salts (\({ArN2^+Cl^-}\)) at low temperatures, which do not immediately release \({N2}\) unless heated or reacted further: \[ {ArNH2 + NaNO2 + HCl -> ArN2^+Cl^-} \] - Secondary amines (\({R2NH}\)): Form N-nitrosoamines, no \({N2}\) evolution: \[ {R2NH + NaNO2 + HCl -> R2N-NO} \] - Tertiary amines (\({R3N}\)): Aliphatic tertiary amines form ammonium salts or nitrosamines; aromatic tertiary amines may form p-nitroso derivatives, no \({N2}\).
Step 2: Analyze options
- (A) \(\mathrm{C}_2\mathrm{H}_5\mathrm{NH}_2\): Primary aliphatic amine, forms unstable diazonium ion, releases \({N2}\) to form ethanol.
- (B) \(\mathrm{C}_6\mathrm{H}_5\mathrm{NHCH}_3\): Secondary amine, forms N-nitrosomethylaniline, no \({N2}\).
- (C) \(\mathrm{C}_6\mathrm{H}_5\mathrm{NH}_2\): Primary aromatic amine, forms stable benzenediazonium chloride at 275 K, which does not release \({N2}\) immediately but can decompose with heat or reagents (e.g., \({H3PO2}\)), releasing \({N2}\).
- (D) \(\left(\mathrm{CH}_3\right)_3\mathrm{N}\): Tertiary aliphatic amine, forms trimethylammonium chloride or nitrosamine, no \({N2}\).
Step 3: Interpret “most easily \(\mathrm{N}_2\) gas”
The question likely assumes conditions where diazonium salts decompose to release \({N}_2\). Aliphatic diazonium ions (from \({C2H5NH2}\)) are highly unstable and release \({N2}\) readily at 275 K. Aromatic diazonium salts (from \({C6H5NH2}\)) are stable at 275 K but decompose under additional conditions (e.g., warming). Since aromatic diazonium salts are commonly tested for \({N2}\) evolution in subsequent reactions, \({C6H5NH2}\) is often the intended answer in such questions.
Step 4: Conclusion
Assuming standard organic chemistry context, \(\mathrm{C}_6\mathrm{H}_5\mathrm{NH}_2\) forms a diazonium salt most readily associated with \({N2}\) evolution in follow-up reactions, matching option (C).
The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 
Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80