EAMCET Medical EAMCET Medical Solved Paper-2008

  • question_answer
    The cell potential of the following cell at \[\text{25}{{\,}^{\text{o}}}\text{C}\] (in volts) is \[\underset{(1\,atm)}{\mathop{(pt){{H}_{2}}}}\,\left| \underset{(0.01M)}{\mathop{{{H}^{+}}}}\, \right|\left| \underset{0.1\,M}{\mathop{C{{u}^{2+}}}}\, \right|Cu\] \[(E_{C{{u}^{2+}}|Cu}^{o}=0.337\,V)\]

    A)  \[0.308\]                            

    B)  \[0.427\]

    C)  \[-0.308\]                          

    D)  \[0.337\]

    Correct Answer: B

    Solution :

                     \[\underset{(1\,atm)}{\mathop{(Pt){{H}_{2}}}}\,\left| {{\underset{(0.01\,M)}{\mathop{H}}\,}^{+}} \right|\left| \underset{(0.1\,M)}{\mathop{C{{u}^{2+}}}}\, \right|Cu\] For the above cell, the cell reaction is \[{{H}_{2}}+C{{u}^{2+}}\xrightarrow{{}}2{{H}^{+}}+Cu\] According to the Nemst equation \[{{E}_{cell}}=E_{C{{u}^{2+}}/Cu}^{o}-\frac{0.0591}{n}\log \frac{{{[{{H}^{+}}]}^{2}}}{[C{{u}^{2+}}]}\] \[=0.337-\frac{0.0591}{2}\log \frac{{{(0.01)}^{2}}}{(0.1)}\] \[=0.337-0.02955\log {{10}^{-3}}\] \[=0.337+0.08865\] \[=0.42565\approx 0.427\]


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