Concept:
Hoffmann bromamide degradation (also called Hoffmann rearrangement) converts a primary amide into a primary amine containing one carbon less than the parent amide.
General reaction:
\[
\mathrm{RCONH_2 + Br_2 + 4NaOH \rightarrow RNH_2 + Na_2CO_3 + 2NaBr + 2H_2O}
\]
Important points:
- Only primary amides undergo Hoffmann bromamide degradation.
- Product formed is a primary amine.
- One carbon atom is lost during the reaction.
Step 1: Checking Statement A.
From the balanced Hoffmann bromamide degradation reaction:
\[
\mathrm{RCONH_2 + Br_2 + 4NaOH \rightarrow RNH_2 + Na_2CO_3 + 2NaBr + 2H_2O}
\]
We observe:
- 1 mole of \( \mathrm{Br_2} \) is consumed
- 4 moles of NaOH are consumed
But Statement A says:
\[
2 \text{ moles of } \mathrm{Br_2}
\]
which is incorrect.
Hence, Statement A is
false.
Step 2: Checking Statement B.
Hoffmann bromamide degradation is shown by:
\[
\mathrm{RCONH_2}
\]
where \(R\) can be:
Thus, alkyl amides definitely undergo Hoffmann degradation.
Example:
\[
\mathrm{CH_3CONH_2 \rightarrow CH_3NH_2}
\]
Therefore, Statement B is
false.
Step 3: Checking Statement C.
Primary amides on Hoffmann degradation produce primary amines.
Example:
\[
\mathrm{C_6H_5CONH_2 \rightarrow C_6H_5NH_2}
\]
Thus, primary amines can indeed be synthesized by this method.
Hence, Statement C is
true.
Step 4: Checking Statement D.
Secondary amides do not undergo Hoffmann bromamide degradation because the reaction mechanism requires the presence of:
\[
\mathrm{-CONH_2}
\]
group.
Secondary amides contain:
\[
\mathrm{-CONHR}
\]
Therefore, secondary amides do not form secondary amines in this reaction.
Hence, Statement D is
false.
Step 5: Checking Statement E.
The balanced reaction clearly shows by-products:
\[
\mathrm{Na_2CO_3,\ NaBr,\ H_2O}
\]
Hence, Statement E is
true.
Thus, only statements C and E are true.
\[
\boxed{(3)\ \text{C and E only}}
\]