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Q.

If 2 moles of A and 3 moles of B are mixed to form an ideal solution vapour pressure of A and B are 120 and 180 mm of Hg respectively, then the composition of A and B in the Vapour phase when the first traces of vapour are formed in the above case is

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a

$X^{'} A = 0.109$

b

$X^{'} A = 0.8$

c

$X^{'} A = 0.407$

d

$X^{'} A = 0.307$

answer is D.

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Detailed Solution

Given data:It is given to identify the composition of A and B in vapour phase.

Explanation:

$\begin{aligned} X_{A} & = \frac{2}{2 + 3} = \frac{2}{5} \\ X_{B} & = \frac{3}{2 + 3} = \frac{3}{5} \\ X_{A}^{'} & = \frac{P_{A}^{0} \times A}{P_{total}} \\ = \frac{120 \times \frac{2}{5}}{120 \times \frac{2}{5} + 180 \times \frac{3}{5}} \\ = \frac{48}{48 + 108} \\ X_{A}^{'} & = 0.307 \end{aligned}$

Hence, the correct option is: (D) X'A= 0.307

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If 2 moles of A and 3 moles of B are mixed to form an ideal solution vapour pressure of A and B are 120 and 180 mm of Hg respectively, then the composition of A and B in the Vapour phase when the first traces of vapour are formed in the above case is