Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    The vapour pressure decreases by \[10\text{ }mm\] of \[Hg\]when mole fraction of solute in a solution is\[0.2\]  If the vapour pressure decreases to \[20\text{ }mm\]of \[Hg\]then the mole fraction of solute will be

    A)  \[0.2\]                                 

    B)  \[0.4\]

    C)  \[0.6\]                

    D)  \[0.8\]

    Correct Answer: B

    Solution :

    On applying this relation \[\frac{{{p}^{o}}-{{p}_{s}}}{{{p}^{o}}}=\frac{n}{n+N}\] Where, \[{{p}^{o}}-{{p}_{s}}=\] lowering of vapour pressure \[{{p}^{o}}=\] vapour pressure of pure solvent \[\frac{n}{n+N}\] mole fraction of solute. \[\Rightarrow \]               \[\frac{10}{{{p}^{o}}}=0.2\] \[\therefore \]  \[{{p}^{o}}=\frac{10}{0.2}\]                         ?..(i) Again,     \[\frac{{{p}^{o}}-{{p}_{s}}}{{{p}^{o}}}=\frac{n}{n+N}\] \[\Rightarrow \]               \[\frac{20}{{{p}^{o}}}={{X}_{n}}\][Mole fraction of solute] \[\therefore \]  \[{{p}^{o}}=\frac{20}{{{X}_{n}}}\]             ?.(ii) From Eqs. (i) and (ii) \[\Rightarrow \]               \[\frac{10}{0.2}=\frac{20}{{{X}_{n}}}\] \[\therefore \]  \[{{X}_{n}}=0.4\] Mole fraction of solute  \[=0.4\]


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