KCET · Chemistry · Electrochemistry

An aqueous solution containing \(6.5 \mathrm{~g}\) of \(\mathrm{NaCl}\) of \(90 \%\) purity was subjected to electrolysis. After the complete electrolysis, the solution was evaporated to get solid \(\mathrm{NaOH}\). The volume of \(1 \mathrm{M}\) acetic acid required to neutralise \(\mathrm{NaOH}\) obtained above is

A \(1000 \mathrm{~cm}^{3}\)
B \(2000 \mathrm{~cm}^{3}\)
C \(100 \mathrm{~cm}^{3}\)
D \(200 \mathrm{~cm}^{3}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(100 \mathrm{~cm}^{3}\)

Step-by-step Solution

Detailed explanation

Weight of pure \(\mathrm{NaCl}=6.5 \times 0.9=5.85 \mathrm{~g}\)
No. of equivalence of \(\mathrm{NaCl}=\frac{5.85}{58.5}=0.1\)
No. of equivalence of \(\mathrm{NaOH}\) obtained \(=0.1\)
Volume of \(1 \mathrm{M}\) acetic acid required for the neutralisation of \(\mathrm{NaOH}=\frac{0.1 \times 1000}{1}\)
\[
=100 \mathrm{~cm}^{3}
\]

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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