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JEE Main & Advanced Sample Paper JEE Main Sample Paper-6

  • question_answer
    Which of the following express correct relation of the cell potential \[({{E}_{3}})\] for the cell reaction, which is actually overall cell reaction on adding two half cell reactions, whose potentials are respectively \[{{E}_{1}}\] and \[{{E}_{2}}\]

    A)  \[{{E}_{3}}={{E}_{1}}+{{E}_{2}}\]                             

    B)  \[{{E}_{3}}=\frac{({{n}_{1}}{{E}_{1}}+{{n}_{2}}{{E}_{2}})}{{{n}_{3}}}\]

    C)  \[{{E}_{3}}=\frac{({{E}_{1}}+{{E}_{2}})}{{{n}_{3}}}\]        

    D)  \[{{E}_{3}}=n{{E}_{1}}+n{{E}_{2}}\]

    Correct Answer: B

    Solution :

    \[{{E}_{cell}}\]is not the intensive property, cannot be additive, instead \[\Delta G\] is extensive property \[\Delta {{G}_{3}}=\Delta {{G}_{1}}+\Delta {{G}_{2}}\] \[{{n}_{3}}F{{E}_{3}}=-{{n}_{1}}F{{E}_{1}}-{{n}_{2}}F{{E}_{2}}\] \[{{E}_{3}}=({{n}_{1}}{{E}_{1}}+{{n}_{2}}{{E}_{2}})/{{n}_{3}}\]


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