JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    The electrode potentials for\[C{{u}^{2+}}_{(aq)}+{{e}^{-}}\xrightarrow{{}}C{{u}^{+}}_{(aq)}\]and           \[C{{u}^{+}}_{(aq)}+{{e}^{-}}\xrightarrow{{}}C{{u}_{(s)}}\] are \[+0.15\] V and \[+0.50\] V respectively. The value of \[E_{C{{u}^{2+}}/Cu}^{o}\] Will be:

    A)  \[0.500\] V                               

    B)  \[0.325\] V

    C)  \[0.650\] V                               

    D)  \[0.150\] V

    Correct Answer: B

    Solution :

    \[C{{u}^{2+}}+1{{e}^{-}}\to \,C{{u}^{+}}\,\,\,\,E_{1}^{0}\,=0.15v\,\,\Delta G_{1}^{0}\,=-{{n}_{1}}E_{1}^{0}F\] \[C{{u}^{+}}+1{{e}^{-}}\to \,Cu\,\,\,\,E_{2}^{0}\,=0.50v\,\,\Delta G_{2}^{0}\,=-{{n}_{2}}E_{2}^{0}F\]____________________________________ \[C{{u}^{+}}\,+1{{e}^{-}}\,\to Cu\,\,\Delta {{G}^{o}}=\Delta G_{1}^{o}\,\,+\Delta G_{2}^{o}\] \[(-1)\,n\,{{E}^{o}}\,F=(-1)\,n,\,\,E_{1}^{0}\,F+(-1){{n}_{2}}E_{2}^{0}F\] \[{{E}^{0}}=\frac{{{n}_{1}}E_{1}^{0}\,+{{n}_{2}}E_{2}^{0}}{n}\,=\frac{0.15\times 1+0.50\times 1}{2}=0.325\,V\]


You need to login to perform this action.
You will be redirected in 3 sec spinner