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Q.

If at certain temperature the vapour pressure of pure water is 25 mm Hg and that of a very dilute aqueous urea solution is 24.5 mm Hg, the molality of the solution is

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a

1.11

b

0.08

c

0.02

d

1.2

answer is C.

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Detailed Solution

$\begin{array}{l} \frac{P^{o} - P_{s}}{P^{\circ}} = \frac{w_{s}}{M_{s}} \times \frac{M_{o}}{w_{o}} = \frac{w_{s}}{M_{s} \times w_{o}} \times 1000 \times \frac{M_{o}}{1000} \\ \Rightarrow \frac{P^{\circ} - P_{s}}{P^{\circ}} = molality \times \frac{18}{1000} \\ \frac{25 - 24.5}{25} = m \times \frac{18}{1000} \\ m = \frac{0.02 \times 1000}{18} = 1.11 \end{array}$

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