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The elevation in the boiling point of an aqueous solution of $NaCl$ is $0.01 ° C$ . If its van't Hoff factor is $1.92,$ the molality of $NaCl$ solution is ___ $(K_{b}$ for water $= 0.52 K kg {mol}^{- 1})$

A $0.01 m$
B $0.001 m$
C $0.005 m$
D $0.02 m$

Verified Solution

Answer & Solution

Correct Answer

(A) $0.01 m$

Step-by-step Solution

Detailed explanation

The elevation in boiling point is given by: ∆Tb=i×Kb×mm = ∆Tbi×Kbm=0.011.92×0.52=0.1 molal

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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The elevation in the boiling point of an aqueous solution of NaCl is 0.01°C. If its van't Hoff factor is 1.92, the molality of NaCl solution is ___(Kb for water =0.52 K kg mol-1)

Step-by-step Solution

The elevation in the boiling point of an aqueous solution of $NaCl$ is $0.01 ° C$ . If its van't Hoff factor is $1.92,$ the molality of $NaCl$ solution is ___ $(K_{b}$ for water $= 0.52 K kg {mol}^{- 1})$