MGIMS WARDHA MGIMS WARDHA Solved Paper-2006

  • question_answer
    If two substances A and B have\[P_{A}^{o}:P_{B}^{o}=1:2\] and have mole fraction in solution 1 : 2 then mole fraction of A in vapours:

    A)  0.33                                      

    B)  0.25

    C)   0.52                                     

    D)  0.2

    Correct Answer: D

    Solution :

                     In an ideal solution of components 'A' and 'B' Mole fraction of component 'A9 in the vapour \[Phase=\frac{Partial\text{ }pressure\text{ }of\text{ }A}{Total\text{ }vapour\text{ }pressure}\] \[=\frac{{{P}_{A}}}{{{P}_{A}}+{{P}_{B}}}\] \[=\frac{P_{A}^{o}.x_{A}^{o}}{P_{A}^{o}.{{x}_{A}}+P_{B}^{o}.{{x}_{B}}}\] \[=\frac{1\times 1}{1\times 1+2\times 2}\] \[=\frac{1}{1+4}=\frac{1}{5}=0.2\]                           


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