BCECE Engineering BCECE Engineering Solved Paper-2001

  • question_answer
    The vapour pressure of benzene at a certain temperature is 200 mm Hg. At the same temperature the vapour pressure of a solution containing 2 g of non volatile non electrolyte solid in 78 g of benzene is 195 mm Hg. The molecular weight of solid is:

    A) 20                          

    B)        40

    C) 60                          

    D)        80

    Correct Answer: D

    Solution :

    Key Idea: Use Raoults law to find molecular mass of solute. Given,\[{{p}^{o}}=\] Vapour pressure of \[{{C}_{6}}{{H}_{6}}\]                                 \[=200\text{ }mm\text{ }Hg\] \[p=\]vapour pressure of solution \[=195\text{ }mm\text{ }Hg\] \[W=\]weight of solvent \[({{C}_{6}}{{H}_{6}})=78\,g\] \[M=\]molecular wt. of \[{{C}_{6}}{{H}_{6}}=78\] \[w=\]weight of solute \[=2\,g\] \[m=\]molecular wt. of solute = ? \[\frac{{{p}^{o}}-p}{{{p}^{o}}}=\frac{w\times M}{m\times W}\] or            \[\frac{200-195}{200}=\frac{2\times 78}{m\times 78}\] or            \[\frac{5}{200}=\frac{2}{m}\] \[\therefore \]      \[m=80\]


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