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

  • question_answer
    For the electrochemical cell, \[M|{{M}^{+}}||{{X}^{-}}|X,\]\[{{E}^{o}}({{M}^{+}}/M)\] = 0.44 V and \[{{E}^{o}}(X/{{X}^{-}})\]= 0.33 V. From this data one can deduce that [IIT-JEE (Screening) 2000]

    A)                 \[M\,+\,X\,\to {{M}^{+}}+{{X}^{-}}\] is the spontaneous reaction

    B)                 \[{{M}^{+}}+{{X}^{-}}\to M+X\] is the spontaneous reaction

    C)                 \[{{E}_{cell}}\]= 0.77 V

    D)                 \[{{E}_{cell}}\]= ? 0.77 V

    Correct Answer: B

    Solution :

               For the given cell \[M|{{M}^{+}}||{{X}^{-}}|X\], the cell reaction is derived as follows:            RHS: reduction \[X+{{e}^{-}}\to {{X}^{-}}\]                                ?..(i)            LHS: Oxidation \[M\to {{M}^{+}}+{{e}^{-}}\]                            ?..(ii)            Add (i) and (ii)  \[M+X\to {{M}^{+}}+{{X}^{-}}\]            The cell potential = \[-0.11\,V\]                                 Since \[{{E}_{cell}}=\]? ve, the cell reaction derived above is not spontaneous. In fact, the reverse reaction will occur spontaneously.


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