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The solubility of urea in methanol is 17g urea/ 100ml methanol.Density of methanol is 0.792 g/ml at 293k at which vapour pressure of methanol is 96.0mmHg.Thus vapour pressure of saturated solution of urea in methanol is

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80.12mmHg

90.27mmHg

86.11mnHg

88.03mmHg

answer is A.

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Detailed Solution

Wt. of urea = 17g

vol. of methanol = 100ml

Density of methanol = 0.792g/ml

Weight of methanol = 79.2g

VP of CH₃OH = 96mm of Hg

VP of sol. of urea in CH₃OH =?

For a dilute sol.

$\frac{P^o-P}{P^o}=\frac{n_2}{n_1+n_2}$

$\frac{96-P}{96}=\frac{(\frac{17}{60})}{(\frac{79.2}{32})+(\frac{17}{60})}$

$\frac{96-P}{96}=0.103$

P = 96 - 9.85 =86.15mm of Hg

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