Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    \[10g\]of non-volatile solute is dissolved in\[180g\]of\[{{H}_{2}}O\]resulting in lowering of vapour pressure by\[0.5%\]. Determine the boiling point of solution if\[{{K}_{b}}\]of water is\[0.52\,\,K\,\,kg\,\,mo{{l}^{-1}}\].

    A) \[{{100.01}^{o}}C\]         

    B)        \[{{100.15}^{o}}C\]

    C) \[{{100.23}^{o}}C\]         

    D)        \[{{100.32}^{o}}C\]

    Correct Answer: B

    Solution :

    \[p={{p}^{o}}{{x}_{1}}\] \[99.50=100\frac{{{n}_{1}}}{{{n}_{1}}+{{n}_{2}}}\]      \[\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{1}{191}\]    \[\Delta {{T}_{b}}={{k}_{b}}m={{K}_{b}}\frac{{{n}_{2}}}{{{n}_{1}}}\times \frac{1000}{{{m}_{1}}}\]           \[=0.52\times \frac{1}{191}\times \frac{1000}{18}=0.15\]      \[{{T}_{b}}={{10015}^{o}}C\]


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