JEE Main & Advanced Chemistry Electrochemistry / विद्युत् रसायन Question Bank Electrode potential Ecell Nernst equation and ECS

  • question_answer
    For the cell reaction                 \[C{{u}^{2+}}({{C}_{1}}aq)+Zn(s)=Z{{n}^{2+}}({{C}_{2}}aq)+Cu(s)\]                  of an electrochemical cell, the change in free energy at a given temperature is a function of                        [CBSE PMT 1998]

    A)                 ln \[({{C}_{1}})\]              

    B)                 ln \[({{C}_{2}})\]

    C)                 ln \[({{C}_{1}}+{{C}_{2}})\]          

    D)                 ln \[({{C}_{2}}/{{C}_{1}})\]

    Correct Answer: D

    Solution :

               \[{{E}_{cell}}=E_{cell}^{o}-\frac{RT}{nF}\ln \frac{{{C}_{2}}}{{{C}_{1}}}\] and \[\Delta G=-nF\,{{E}_{\text{cell}}}\]                                 hence \[\Delta G\]is the function of \[\ln \,\left( \frac{{{C}_{2}}}{{{C}_{1}}} \right)\].


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