Benzene and toluene form nearly ideal solutions. At 20∘, the vapour pre

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Benzene and toluene form nearly ideal solutions. At $20^{\circ}$ , the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial vapour pressure of benzene at $20^{\circ}$ for a solution containing 78g of benzene and 46g of toluene in torr is

Options:

A . 50

B . 25

C . 37.5

D . 53.5

Answer: Option A
:
A

According to Rault's law-
$P_{B} = P_{B}^{0} \times X_{B} = 75 \times \frac{\frac{78}{78}}{\frac{78}{78} + \frac{46}{92}} = 75 \times \frac{1}{1 + 0.5} = 50 t o r r$

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