JEE Main & Advanced JEE Main Paper (Held On 10-Jan-2019 Evening)

  • question_answer
      In the cell \[Pt\left| \,\left( s \right)\, \right|{{H}_{2}}\](g, 1 bar) \[\left| \text{ }HCl\left( aq \right)\text{ } \right|\] \[AgCl\left| \,\left( s \right)\, \right|\,Ag\left( s \right)|Pt\left( s \right)\] the cell potential is 0.92 V when a \[{{10}^{-}}^{6}\] molal HCl solution is used. The standard electrode potential of \[\left( AgCl/Ag,C{{l}^{-}} \right)\] electrode is: {Given, \[\frac{2.303RT}{F}\,=\,0.06V\,at\,\,298\,K\] [JEE Main Online Paper (Held On 10-Jan-2019 Evening]

    A) 0.94 V                          

    B) 0.40V

    C) 0.76 V  

    D)                  0.20 V

    Correct Answer: D

    Solution :

    \[{{H}_{2}}_{\left( g \right)}+2AgC{{l}_{\left( s \right)}}\to 2A{{g}_{\left( s \right)}}+2Cl{{-}_{\left( aq \right)}}+\,2\,{{H}^{+}}_{(aq)}\] \[{{E}_{cell}}=\,E{{{}^\circ }_{cell}}-\,\frac{0.06}{2}\log \,\,\left[ {{[{{H}^{+}}]}^{2}}\,{{[C{{l}^{-}}]}^{2}} \right)\] \[0.92=0+{{E}^{o}}_{AgCl/Ag,C{{l}^{-}}}-\frac{0.06}{2}\log \,\left[ {{({{10}^{-6}})}^{2}}\,{{({{10}^{-6}})}^{2}} \right]\]\[0.92+\frac{0.06}{2}\log \,\,{{10}^{-24}}\,=\,\,E{{{}^\circ }_{AgCl/Ag,C{{l}^{-}}}}\] \[E{{{}^\circ }_{AgCl/Ag,C{{l}^{-}}}}=\,\,0.20\]


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