Haryana PMT Haryana PMT Solved Paper-2010

  • question_answer
    At \[450K\], \[{{K}_{p}}=2.0\times {{10}^{10}}\]/bar for the given reaction at equilibrium \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\] What is \[{{K}_{c}}\] at this temperature?

    A)  \[73.8\times {{10}^{10}}\]

    B)  \[7.38\times {{10}^{11}}\]

    C)  Both (a) and (b)

    D)  Zero

    Correct Answer: C

    Solution :

                    For the given reaction, \[\Delta {{n}_{g}}=2-3=-1\] \[{{K}_{p}}={{K}_{c}}{{(RT)}^{\Delta {{n}_{g}}}}\]                 or            \[{{K}_{c}}={{K}_{p}}{{(RT)}^{-\Delta {{n}_{g}}}}\]                 or            \[{{K}_{c}}={{K}_{p}}(RT)\] (After putting the value of \[\Delta {{n}_{g}}\]) \[=(2.0\times {{10}^{10}}ba{{r}^{-1}})(0.0821\,L\,bar\,{{K}^{-1}}\,mo{{l}^{-1}})\]\[\times (450K)\]                 \[=73.8\times {{10}^{10}}\,L\,\,mo{{l}^{-1}}\] or            \[{{K}_{c}}=73.8\times {{10}^{11}}\,L\,\,mo{{l}^{-1}}\]


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