MHT CET · Chemistry · Solutions

The correct relation between the elevation in boiling point and the molar mass of a solute is: ( $W_{1}$ and $W_{2}$ are respectively weight of solvent & solute)

A $M_{2} = \frac{K_{b} \times W_{2} \times 1000}{{ΔT}_{b} \times W_{1}}$
B $M_{2} = \frac{K_{b} \times W_{1} \times 1000}{{ΔT}_{b} \times W_{2}}$
C $M_{2} = \frac{{ΔT}_{b} \times K_{b} \times 1000}{W_{1} \times W_{2}}$
D $M_{2} = \frac{{ΔT}_{b} \times W_{1} \times 1000}{K_{b} \times W_{2}}$

Verified Solution

Answer & Solution

Correct Answer

(A) $M_{2} = \frac{K_{b} \times W_{2} \times 1000}{{ΔT}_{b} \times W_{1}}$

Step-by-step Solution

Detailed explanation

Δ T_{b} = \frac{K_{b} \times W_{2} \times 1000}{W_{1} \times M_{2}}

M_{2} = \frac{K_{b} \times W_{2} \times 1000}{{ΔT}_{b} \times W_{1}}

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 correct relation between the elevation in boiling point and the molar mass of a solute is: ( W 1 and W 2 are respectively weight of solvent & solute)

Step-by-step Solution

The correct relation between the elevation in boiling point and the molar mass of a solute is: ( $W_{1}$ and $W_{2}$ are respectively weight of solvent & solute)