J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    At \[\text{25}{{\,}^{\text{o}}}\text{C}\], the total pressure of an ideal solution obtained by mixing 3 moles of 'A? and 2 moles of 'B? is 184 Ton". What is the vapour pressure (in Torr) of pure 'B' at the same temperature? (vapour pressure of pure 'A? at \[25{{\,}^{o}}C,\] is 200 Torr)

    A)  180          

    B)  160

    C)  16           

    D)  100

    Correct Answer: B

    Solution :

     \[p=p_{A}^{o}\left( \frac{{{n}_{A}}}{{{n}_{A}}+{{n}_{B}}} \right)+p_{B}^{o}\left( \frac{{{n}_{B}}}{{{n}_{A}}+{{n}_{B}}} \right)\] \[184=200\left( \frac{3}{3+2} \right)+p_{B}^{o}\left( \frac{2}{3+2} \right)\] \[184=200\times \frac{3}{5}+p_{B}^{o}\times \frac{2}{5}\] \[184=120+p_{B}^{o}\frac{2}{5}\] \[64=p_{B}^{o}\frac{2}{5}\] \[p_{B}^{o}=\frac{64\times 5}{2}=160\,\text{Torr}\]


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