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JEE Main & Advanced JEE Main Paper (Held On 09-Jan-2019 Evening)

  • question_answer
    If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction \[Zn(s)+C{{u}^{2+}}(aq)\,\,\,\rightleftharpoons \,\,Z{{n}^{2+}}(aq)+Cu\,(s)\] At 300 K is approximately \[\left( R=8J{{K}^{-}}^{1}mo{{l}^{-1}},\text{ }F\,\,=\,\,96000\text{ }C\text{ }mo{{l}^{-1}} \right)\] [JEE Main Online Paper (Held On 09-Jan-2019 Evening]

    A) \[{{e}^{160}}\]                       

    B) \[{{e}^{-160}}\]

    C) \[{{e}^{-80}}\]                       

    D)               \[{{e}^{320}}\]

    Correct Answer: A

    Solution :

    \[\Delta G{}^\circ =-RT\,\,\ell nk\] \[-nF\,{{E}^{o}}_{cell}=-RT\,\ell nK\] \[-2\,\,\times \,\,96000\times 2\text{ }=-8\,\,\times \,\,300\times \ell nk\] \[k\,\,=\,\,{{e}^{160}}\]                      


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