JEE Main & Advanced Sample Paper JEE Main - Mock Test - 23

  • question_answer
    For the following reaction in gaseous phase \[CO(g)+\frac{1}{2}{{O}_{2}}(g)\to C{{O}_{2}}(g),\,\,{{K}_{p}}/{{K}_{c}})\], is

    A) \[{{\left( RT \right)}^{1/2}}\]     

    B)        \[{{\left( RT \right)}^{-1/2}}\] 

    C) \[\left( RT \right)\]           

    D)        \[{{\left( RT \right)}^{-1}}\]

    Correct Answer: B

    Solution :

    For a gaseous phase reaction \[{{\operatorname{K}}_{p}}\,\,and\,\,{{K}_{e}}\] are related as \[{{\operatorname{K}}_{p}}={{K}_{c}}\,{{(RT)}^{\Delta {{n}_{g}}}}\] For the given reaction, \[\operatorname{CO}\,(g)+\,\,\frac{1}{2}{{O}_{2}}(g)\,\to \,\,C{{O}_{2}}\,(g)\] \[\Delta {{n}_{g}}=1-(1+0.5)=-\,0.5\,\,or\,\,-\frac{1}{2}\] \[\therefore \,\,\,\,\,{{K}_{p}}={{K}_{c}}{{(RT)}^{-\,\frac{1}{2}}}\] \[\frac{{{K}_{p}}}{{{K}_{c}}}=\,\,{{(RT)}^{-\,\frac{1}{2}}}\]

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