KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    Vapour pressure of pure benzene is 119 torr and that of toluene is \[37.0\] torr at the same temperature. Mole fraction of toluene in vapour phase which is in equilibrium with a solution of benzene and toluene having a mole fraction of toluene \[0.50,\]will be

    A) \[0.137\]

    B) \[0.237\]

    C) \[0.45\] 

    D) \[0.205\]

    Correct Answer: B

    Solution :

    From Raoult's law, for ideal solution,
    \[p=p_{B}^{0}{{\chi }_{B}}+p_{T}^{0}{{\chi }_{T}}=119\times 0.5+37\times 0.5\]   \[\left( \because {{\chi }_{B}}=1-{{\chi }_{T}} \right)\]
    \[=59.5+18.5\]
    \[=78\,\,torr\]
    Mole fraction of toluene in vapour phase
    \[{{\left( {{\chi }_{T}} \right)}_{\upsilon }}=\frac{p_{T}^{0}{{\chi }_{T}}}{p}=\frac{18.5}{78}=0.237\]


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