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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2011

  • question_answer
    The standard emf of a galvanic cell involving 2 moles of electrons in its redox reaction is 0.59 V. The equilibrium constant for the redox reaction of the cell is

    A)  1020                                     

    B)  105

    C)  10                                         

    D)  1010

    Correct Answer: A

    Solution :

    In a galvanic cell,\[\Delta {{G}^{o}}=-nF{{E}^{o}}\]                            ... (i) Relationship between \[\Delta {{G}^{o}}\] and equilibrium constant                 \[\Delta {{G}^{o}}=-2.303\,\,RT\,\log \,{{K}_{p}}\]            ... (ii) From Eqs. (i) and (ii), we get                 \[-2.303\,\,RT\,\log \,{{K}_{p}}=-nF{{E}^{o}}\]                 \[\log \,{{K}_{p}}=\frac{nF{{E}^{o}}}{2.303\,RT}=\frac{n{{E}^{o}}}{\frac{2.303\,RT}{F}}\]                 \[=\frac{2\times 0.59}{0.059}=20\]                 \[{{K}_{p}}=AL\,(20)\]    (AL = Antilog)                 \[{{K}_{p}}={{10}^{20}}\]


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