JEE Main & Advanced Chemistry Solutions / विलयन Sample Paper Topic Test - Solutions

  • question_answer
    An aqueous solution containing liquid A \[(M.\,\,Wt.=128)\] 64% by weight has a vapour pressure of 145 mm. Find the vapour pressure of pure A. If that of water is 155 mm at the same temperature.

    A) 205 mm

    B) 2.05 mm         

    C) 1.05 mm

    D) 105 mm

    Correct Answer: D

    Solution :

    [d] According to Raoult's law for liquid mixtures.
                \[P={{P}_{A}}+{{P}_{B}}\]
    \[P=P_{A}^{0}\times \frac{\frac{{{W}_{A}}}{{{M}_{A}}}}{\frac{{{W}_{A}}}{{{M}_{A}}}+\frac{{{W}_{B}}}{{{M}_{B}}}}+P_{B}^{0}\times \frac{\frac{{{W}_{B}}}{{{M}_{B}}}}{\frac{{{W}_{A}}}{{{M}_{A}}}+\frac{{{W}_{B}}}{{{M}_{B}}}}\]
    \[P=145=P_{A}^{0}\times \frac{\frac{64}{128}}{\frac{64}{128}+\frac{36}{18}}+155\times \frac{\frac{36}{18}}{\frac{64}{128}+\frac{36}{18}}\]
                \[P_{A}^{0}=105\,mm\]


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