Solutions and Colligative PropertieshardMCQ SINGLE

The vapour pressure of a solution of a non-volatile, non-electrolyte solute in a solvent is 95% of tSolutions and Colligative Properties Chemistry Question

Question

The vapour pressure of a solution of a non-volatile, non-electrolyte solute in a solvent is 95% of the vapour pressure of the pure solvent at the same temperature. If the molecular mass of the solvent is 0.3 times that of solute, the mass ratio of solvent and solute is

Answer: B

💡 Solution & Explanation

Relative lowering of vapour pressure: $(P^\circ - P)/P = n/N$. Given $P = 0.95 P^\circ$, $(P^\circ - 0.95P^\circ)/0.95P^\circ = 0.05/0.95 = 1/19$. So $n/N = 1/19 \Rightarrow N/n = 19$. Given $M_{solvent} = 0.3 M_{solute}$. Mass ratio $W_{solvent} / W_{solute} = (N \cdot M_{solvent}) / (n \cdot M_{solute}) = 19 \times (0.3 M_{solute} / M_{solute}) = 19 \times 0.3 = 5.7$. Thus, the ratio is 5.7:1 or 57:10. Therefore, correct answer is B.

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