TS EAMCET · Chemistry · Electrochemistry

At \(25^{\circ} \mathrm{C}\), the molar conductances at infinite dilution for the strong electrolytes \(\mathrm{NaOH}, \mathrm{NaCl}\) and \(\mathrm{BaCl}_2\) are \(248 \times 10^{-4}, 126 \times 10^{-4}\) and \(280 \times 10^{-4} \mathrm{Sm}^2 \mathrm{~mol}^{-1}\) respectively, \(\lambda_m^{\circ} \mathrm{Ba}(\mathrm{OH})_2\) in \(\mathrm{Sm}^2 \mathrm{~mol}^{-1}\) is

A \(52.4 \times 10^{-4}\)
B \(524 \times 10^{-4}\)
C \(402 \times 10^{-4}\)
D \(262 \times 10^{-4}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(524 \times 10^{-4}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mathrm{BaCl}_2+2 \mathrm{NaOH} \longrightarrow \mathrm{Ba}(\mathrm{OH})_2+2 \mathrm{NaCl} \\ & \lambda_{m \mathrm{Ba}(\mathrm{OH})_2}^{\infty}=\lambda_{m \mathrm{BaCl}_2}^{\infty}+2 \lambda_{m \mathrm{NaOH}}^{\infty}-2 \lambda_{m…

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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A	Ebullioscopic constant	I	Depression of freezing point
B	Cryoscopic constant	II	Total pressure is the sum of partial pressures of the components
C	Henry's law	III	Elevation of boiling point
D	Dalton's law	IV	Solubility of a gas in liquid

The correct match is

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