Punjab Medical Punjab - MET Solved Paper-2011

  • question_answer
    Two flasks containing gases\[A\]and\[B\]are interconnected as shown in the figure. The stopper is opened, the gases are allowed to mix homogeneously. The partial pressures of\[A\]and\[B\]in the mixture will be, respectively

    A)  8 and 5 atm       

    B)  9.6 and 4 atm

    C)  4.8 and 2 atm                   

    D)  6.4 and 4 atm

    Correct Answer: C

    Solution :

    Moles of\[A,\,\,{{n}_{A}}=\frac{{{p}_{A}}{{V}_{A}}}{RT}=\frac{8\times 12}{RT}=\frac{96}{RT}\] Moles of\[B,\,\,{{n}_{B}}=\frac{{{p}_{B}}{{V}_{B}}}{RT}=\frac{8\times 5}{RT}=\frac{40}{RT}\] Total pressure\[\times \]total volume                 \[=({{n}_{A}}+{{n}_{B}})\times RT\]                 \[p\times (12+8)=\frac{1}{RT}(96+40)RT\]                 \[p=6.8\] \[\therefore \]Partial pressure of\[A=p\times \]mole fraction of\[A\]                 \[=6.8\times \left( \frac{96}{RT}/\frac{96+40}{RT} \right)\]                 \[=4.8\,\,\,atm\] \[\therefore \]Partial pressure of\[B=p\times \]mole fraction of\[B\]                 \[=6.8\times \left( \frac{40}{RT}/\frac{96+40}{RT} \right)\]                 \[=2\,\,\,atm\]


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