Solutions Question 312

Question: If two substances $ A $ and $ B $ have $ P_A^{0}:,P_B^{0}=1,:,2 $ and have mole fraction in solution 1 : 2 then mole fraction of $ A $ in vapours [DPMT 2005]

Options:

A) 0.33

B) 0.25

C) 0.52

D) 0.2

Show Answer

Answer:

Correct Answer: D

Solution:

Relationship between mole fraction of a component in the vapour phase and total vapour pressure of an ideal solution. $ y_{A}=\frac{P_{A}}{P_{total}}=\frac{x_{A}.P_A^{0}}{x_{A}.P_A^{0}+x_{B}.P_B^{0}} $

$ =\frac{1\times 1}{1\times 1+2\times 2}=\frac{1}{1+4}=\frac{1}{5}=0.2 $



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