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JIPMER Jipmer Medical Solved Paper-2000

  • question_answer
    Equilibrium concentration of \[HI,\,\,{{I}_{2}}\] and \[{{H}_{2}}\]are 0.7, 0.1 and 0.1 M respectively. The value of equilibrium constant for the reaction, \[{{H}_{2}}+{{I}_{2}}\rightleftharpoons 2HI\] is:

    A)  36                         

    B)         49                         

    C)  0.49                      

    D)         0.36

    Correct Answer: B

    Solution :

    \[\begin{align}   & \begin{matrix}    {} & {{H}_{2}}+ & {{I}_{2}}\rightleftharpoons  & 2HI  \\    \text{initial}\,\text{conc}\text{.} & a & a & 0  \\    \text{conc}\text{.}\,\text{at}\,\text{equil}\text{.} & (a-x) & (a-x) & x=0.7  \\ \end{matrix} \\  & \begin{matrix}    \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,=0.1 & \,\,\,\,=0.1  \\ \end{matrix} \\ \end{align}\] \[\therefore \,\,\,\,{{K}_{c}}\,=\frac{{{[HI]}^{2}}}{[{{H}_{2}}]\,[{{I}_{2}}]}\,=\frac{{{(0.7)}^{2}}}{(0.1)\,(0.1)}\] \[=\frac{0.49}{0.01}\,=49\]


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