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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    For the reaction \[{{H}_{2}}(g)+C{{O}_{2}}(g)CO(g)+{{H}_{2}}O(g)\] If the initial concentration of \[[{{H}_{2}}]=[C{{O}_{2}}]\]and \[x\] mol/L of hydrogen is consumed at equilibrium, the correct expression of\[{{K}_{p}}\]is

    A)  \[\frac{{{x}^{2}}}{{{(1-x)}^{2}}}\]

    B)  \[\frac{{{x}^{2}}}{{{(2+x)}^{2}}}\]

    C)  \[\frac{{{x}^{2}}}{1-{{x}^{3}}}\]

    D)  \[\frac{{{(1+x)}^{2}}}{{{(1-x)}^{2}}}\]

    Correct Answer: A

    Solution :

                \[{{H}_{2}}(g)+C{{O}_{2}}(g)CO(g)+{{H}_{2}}O(g)\] Initial cone.        1 1 0 0 at. equi. cone. \[(1-x)\] \[(1-x)\] \[x\] \[x\] \[{{k}_{p}}=\frac{{{p}_{CO}}\times {{p}_{{{H}_{2}}O}}}{{{p}_{{{H}_{2}}}}.{{p}_{C{{O}_{2}}}}}\] \[=\frac{x.x}{(1-x)(1-x)}\] \[=\frac{{{x}^{2}}}{{{(1-x)}^{2}}}\]


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