



This problem requires the identification of an intermediate compound A and a reactant B within a two-step reaction sequence. The initial reactant is propyne (\(CH_3-C \equiv CH\)), and the final products are a substituted alkyne (C) and sodium bromide (\(NaBr\)).
The solution relies on two fundamental reactions in alkyne chemistry:
1. Acetylide Anion Formation: Terminal alkynes, characterized by a hydrogen atom bonded to a triply-bonded carbon, exhibit weak acidity. Treatment with a strong base, such as sodium metal (\(Na\)) or sodamide (\(NaNH_2\)), results in deprotonation to yield a sodium acetylide salt. In this process, sodium acts as a reducing agent, producing the sodium salt and hydrogen gas.
\[ 2 R-C \equiv CH + 2Na \longrightarrow 2 R-C \equiv C^-Na^+ + H_2(g) \]
2. Nucleophilic Substitution by Acetylide Anion: The acetylide anion (\(R-C \equiv C^-\)) functions as a potent nucleophile. It undergoes nucleophilic substitution (specifically, an \(S_N2\) reaction) with a primary alkyl halide, forming a new carbon-carbon bond and extending the alkyne chain to produce an internal alkyne.
\[ R-C \equiv C^-Na^+ + R'-X \longrightarrow R-C \equiv C-R' + NaX \]
Step 1: Determine the structure of compound A.
The initial reaction involves propyne (\(CH_3-C \equiv CH\)) and sodium metal (\(Na\)). Propyne is a terminal alkyne, and its terminal hydrogen is acidic. Sodium metal will deprotonate the alkyne, forming sodium propynide.
\[ CH_3 - C \equiv CH + Na \longrightarrow CH_3 - C \equiv C^-Na^+ + \frac{1}{2}H_2(g) \]
Consequently, intermediate compound A is identified as sodium propynide, \(CH_3 - C \equiv C^-Na^+\).
Step 2: Determine the structure of compound B.
The provided structure for product C, \(CH_3-C \equiv C-CH_2-CH_2-CH_3\) with a \(CH_3\) branch on the second carbon of the added chain, appears to contain a typographical error. Assuming the intended product is the straight-chain alkyne \(CH_3-C \equiv C-CH_2-CH_2-CH_3\) (hex-2-yne), which is a common outcome in similar examples, the added group would be a propyl group (\( -CH_2-CH_2-CH_3 \)). This implies that reactant B is 1-bromopropane, \(CH_3-CH_2-CH_2-Br\). This assignment aligns with option (1).
Proceeding with the assumption that the depicted product C has a typo and the intended structure is \(CH_3-C \equiv C-CH_2CH_2CH_3\):
The reaction is: \[ CH_3 - C \equiv C^-Na^+ + CH_3CH_2CH_2-Br \longrightarrow CH_3-C \equiv C-CH_2CH_2CH_3 + NaBr \]
Step 3: Match the identified structures of A and B with the provided options.
Evaluating other options:
The correct option is (1) \(A = CH_3 - C \equiv C^-Na^+, B = CH_3 - CH_2 - CH_2 - Br\).