An organic compound (A) \(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{NO}\) on hydrolysis gives (B) which forms a silver mirror with Tollens' reagent and (C) which fails to dissolve in alkali after reacting with Hinsberg's reagent. (A) is (a) N,N-dimethyl formamide. (b) N-Ethyl formamide (c) \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{CONH}_{2}\) (d) N-methyl acetamide

Short Answer

Expert verified
Answer: (b) N-Ethyl formamide.

Step by step solution

01

List the given compounds and their molecular formulas

Here are the molecular formulas for each option: (a) N,N-dimethyl formamide: \(\mathrm{HCON(CH}_{3})_{2}\) (b) N-Ethyl formamide: \(\mathrm{HCONHCH}_{2} \mathrm{CH}_{3}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{CONH}_{2}\): \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CONH}_{2}\) (d) N-methyl acetamide: \(\mathrm{CH}_{3} \mathrm{CONHCH}_{3}\) All have the proper molecular formula (\(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{NO}\)), so we have to look at their hydrolysis products.
02

Determine products of hydrolysis for each compound

For each compound, determine the products of hydrolysis: (a) N,N-dimethyl formamide: \(\mathrm{HCON(CH}_{3})_{2} + \mathrm{H}_{2}\mathrm{O} \rightarrow \mathrm{HCHO} + 2\mathrm{NH(CH}_{3})_{2}\) (b) N-Ethyl formamide: \(\mathrm{HCONHCH}_{2} \mathrm{CH}_{3} + \mathrm{H}_{2}\mathrm{O} \rightarrow \mathrm{HCHO} + \mathrm{NHCH}_{2} \mathrm{CH}_{3}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{CONH}_{2}\): \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CONH}_{2} + \mathrm{H}_{2}\mathrm{O} \rightarrow \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CHO} + \mathrm{NH}_{3}\) (d) N-methyl acetamide: \(\mathrm{CH}_{3} \mathrm{CONHCH}_{3} + \mathrm{H}_{2}\mathrm{O} \rightarrow \mathrm{CH}_{3} \mathrm{CHO} + \mathrm{NHCH}_{3}\)
03

Identify which hydrolysis products match the given information

Compound (B) should be an aldehyde, and compound (C) should be a secondary amine. Looking at the hydrolysis products from step 2: (a) The product \(\mathrm{HCHO}\) is an aldehyde, but \(\mathrm{NH(CH}_{3})_{2}\) is a tertiary amine, not a secondary amine. (b) The product \(\mathrm{HCHO}\) is an aldehyde, and \(\mathrm{NHCH}_{2} \mathrm{CH}_{3}\) is a secondary amine. This matches the given information. (c) The product \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CHO}\) is an aldehyde, but \(\mathrm{NH}_{3}\) is a primary amine, not a secondary amine. (d) The product \(\mathrm{CH}_{3} \mathrm{CHO}\) is an aldehyde, but \(\mathrm{NHCH}_{3}\) is a primary amine, not a secondary amine.
04

Choose the correct option

Based on the analysis in step 3, the only compound that matches the given information is compound (b) N-Ethyl formamide. Therefore, the correct answer is (b) N-Ethyl formamide.

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