Benzene and toluene form nearly ideal solutions. At $20^{0} C$ , the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial vapour pressure of benzene at $20^{0} C$ for a solution containing 78 g of benzene and 46 g of toluene in torr is:

50

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25

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37.5

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53.5

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Solution

The correct option is D $50$
The molar mass of benzene is 78 g

The molar mass of toluene is 92 g

$n_{B e n} = \frac{78}{78} = 1$
$n_{T o l} = \frac{46}{92} = 0 \cdot 5$
$X_{B e n} = \frac{1}{1 + 0 \cdot 5} = \frac{1}{1 \cdot 5}$
$P_{B e n} = X_{B e n} P_{B e n}^{0}$
$= \frac{1}{1 \cdot 5} \times 75$
$= 50 t o r r$

Hence, the correct option is $A$

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Benzene and toluene form nearly ideal solutions. At 200C, the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial vapour pressure of benzene at 200C for a solution containing 78 g of benzene and 46 g of toluene in torr is:

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