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Question

Two liquids A and B are mixed in 1 : 4 mole ratio to from an ideal solution. If they exert vapour pressures of 75 mmHg and 22 mmHg respectively, the mole fraction of liquid of A in the vapour phase would be

A
0.46
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B
0.66
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C
0.56
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D
0.76
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Solution

The correct option is A 0.46

Explanation:

According to Raoult's law, the vapor pressure of a component at a given temperature is equal to the mole fraction of that component multiplied by the vapor pressure of that component in the pure state.

and

where, x = mole fraction

= pressure in the pure state

According to Dalton's law, the total pressure is the sum of individual pressures.

given

The mole fraction of liquid a in vapor phase is given by:

Hence option A is correct answer


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