Uttarakhand PMT Uttarakhand PMT Solved Paper-2009

  • question_answer
    Given, \[P{{b}^{2+}}/Pb=-0.126\text{ }V;\] \[Z{{n}^{2+}}/Zn=-0.763\text{ }V\]Find the emf of the Mowing cell\[Zn/Z{{n}^{2+}}(0.1M)||P{{b}^{2+}}(1M)|Pb\].

    A)  \[-0.637\]       

    B)  \[+0.637\]

    C)  \[>0.637\]       

    D)  \[+0.889\]

    Correct Answer: C

    Solution :

     \[{{E}_{cell}}=E_{P{{b}^{2+}}/Pb}^{o}-E_{Z{{n}^{2+}}/Zn}^{o}\] \[=-0.126-(-0.763)\] \[=+0.637\text{ }V\] \[{{E}_{cell}}=E_{cell}^{o}-\frac{0.0591}{n}\log \frac{[Z{{n}^{2+}}]}{[P{{b}^{2+}}]}\] \[=0.637-\frac{0.0591}{2}\log 0.1\] \[=0.637+0.02955=0.667\text{ }V\]


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