To ascertain the accurate statements among the provided options, an examination of each is conducted:
(A) Primary amines do not yield diazonium salts upon reaction with \({NaNO}_2\) under acidic conditions.
This assertion is inaccurate. Primary aromatic amines react with sodium nitrite \(({NaNO}_2)\) in acidic environments to generate diazonium salts. Consequently, this statement is false.
(B) Aliphatic and aromatic primary amines produce carbylamines when heated with \({CHCl}_3\) and ethanolic \({KOH}\).
This statement is accurate. The reaction described is the carbylamine reaction (or isocyanide test), serving as a diagnostic test for primary amines, both aliphatic and aromatic.
(C) Secondary and tertiary amines also exhibit the carbylamine test.
This assertion is inaccurate. Only primary amines undergo the carbylamine test to form isocyanides; secondary and tertiary amines do not participate in this reaction.
(D) Benzenesulfonyl chloride is recognized as Hinsberg’s reagent.
This statement is accurate. Benzenesulfonyl chloride is utilized in the Hinsberg test to differentiate between primary, secondary, and tertiary amines.
(E) Tertiary amines react readily with benzenesulfonyl chloride.
This assertion is inaccurate. Tertiary amines do not react with benzenesulfonyl chloride under conditions as mild as those enabling reaction with primary and secondary amines.
Following this analysis, the correct statements are:
(B) and (D) exclusively