JEE Main & Advanced Chemistry Electrochemistry / विद्युत् रसायन Question Bank Topic Test - Electrochemistry

  • question_answer
    The standard electrode potential for the following reaction is +1.33V. What is the potential at \[pH=2.0\]? \[C{{r}_{2}}{{O}_{7}}^{2-}(aq.1M)+14\,{{H}^{+}}(aq)+6{{e}^{-}}\xrightarrow{{}}\] \[2C{{r}^{3+}}(aq.\,1\,M)+7{{H}_{2}}O(\ell )\]

    A) +1.820 V

    B) +1.990 V          

    C) +1.608 V

    D) +1.0542 V

    Correct Answer: D

    Solution :

    [d] \[{{E}_{C{{r}_{2}}O_{7}^{2-}{{\left| Cr \right.}^{3+}}}}=E{{{}^\circ }_{C{{r}_{2}}O_{7}^{2-}{{\left| Cr \right.}^{3+}}}}\,-\frac{0.0591}{6}\]\[\times \left( \log \frac{{{[C{{r}^{3+}}]}^{2}}}{[C{{r}_{2}}O_{7}^{2-}]}\times \frac{1}{{{[{{H}^{+}}]}^{14}}} \right)\]
                \[{{E}_{C{{r}_{2}}O_{7}^{2-}{{\left| Cr \right.}^{3+}}}}=1.33-\frac{0.0591}{6}\log \frac{1}{{{(0.01)}^{14}}}\]     
                \[\Rightarrow \]   \[1.0542\,V\]


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