To determine the correct statement regarding the reaction sequence involving compound \( P \), let's analyze each statement based on chemical reactivity and characteristics:
- \(P\) can be reduced to a primary alcohol using \(NaBH_4\).
- \(NaBH_4\) is a reducing agent that typically reduces aldehydes and ketones to alcohols but is ineffective on carboxylic acids.
- If \(P\) is a carboxylic acid, \(NaBH_4\) will not be able to reduce it to a primary alcohol. Hence, this statement is incorrect.
- Treating \(P\) with conc. \(NH_4OH\) solution followed by acidification gives \(Q\).
- Concentrated \(NH_4OH\) provides \(NH_3\), which can react with an acid chloride to form amides, followed by acidification to give an amino acid.
- Without the exact structural details of \(P\), it's speculative, but this transformation could be feasible if \(P\) were an acid chloride or a similar compound.
- Treating \(Q\) with a solution of \(NaNO_2\) in aq. \(HCl\) liberates \(N_2\).
- This transformation is characteristic of aromatic amines or primary amines via diazotization, where \(NaNO_2\) in \(HCl\) forms a diazonium salt which can liberate \(N_2\).
- Since \(Q\) forms under certain conditions, the nature of \(Q\) being an amine leading to diazotization should be considered. Whether correct depends on exact transformations of \(P\).
- \(P\) is more acidic than \(CH_3CH_2COOH\).
- The acidity of a compound depends on its ability to donate protons and stabilize the resulting anion.
- If \(P\) is a carboxylic acid with electron-withdrawing groups like \(NO_2\), it would be more acidic than \(CH_3CH_2COOH\).
- This statement can be correct if \(P\) has such substituents that enhance acidity compared to propionic acid.
Conclusion: Based on the given statements and general chemical principles, the statement "\(P\) is more acidic than \(CH_3CH_2COOH\)." is correct under the assumption that \(P\) contains electron-withdrawing groups enhancing its acidity.