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Question

The vapour pressure of water at room temperature is lowered by 5% on dissolving a non-volatile solute in it. The molality of the solution is

Options

A.2.0
B.1.4
C.2.78
D.2.92

Solution

$\frac{P^{o} - P}{P} = \frac{n_{1}}{n_{2}} \Rightarrow \frac{5}{95} = \frac{n_{1}}{n_{2}}$

∴ Molality of solution = $\frac{n_{1}}{n_{2} \times 18} \times 1000 = 2.92$

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