Q14 / 54 · JEE Advanced 2020 (Paper 2) · Chemistry

Liquids A and B form ideal solution for all compositions of A and B at 25∘C. Two such solutions with 0.25 and 0.50 mole fractions of A have the total vapor pressures of 0.3 and 0.4 bar, respectively. What is the vapor pressure of pure liquid B in bar?

Correct answer: 0.2

Solution

PTotal =PAoXA+PBoXB

(i) 0.3=(PAo)14+(PBo)34

PA∘+PB∘=1.2

(ii) 0.4=(PAo)12+(PBo)12

PA∘+PB∘=0.8

From equation (1) and equation (2)

PBo=0.2 bar and PAo=0.6 bar

Hence, the correct answer is 0.2.

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