Theory of dilute solutions

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By Expert Faculty of Sri Chaitanya

Question

At $25^{o} C$ vapour pressure of a volatile liquid A is 60 torr. To 4 mol of A, x moles of another volatile liquid B is added at $25^{o} C$ . The vapour pressure of the resulting solution was found to be 72 torr and mole fraction of A in the vapour phase was 1/3. The value of x is

Difficult

Solution

$\frac{P_{A}^{0} X_{A}}{P_{B}^{0} X_{B}} = \frac{1}{2} ............ (1)$
$P_{A}^{0} X_{A} + P_{B}^{0} X_{B} = 72........ (2)$

Solving (1) & (2) gives $\frac{X_{A}}{X_{B}} = \frac{2}{3}$

Thus moles of ‘B’ added =6

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