KVPY Sample Paper KVPY Stream-SX Model Paper-1

  • question_answer
    The emf of the cell, \[Pb|PbC{{l}_{2}}||AgCl||Ag\] at 300 K is 0.50 V. If temperature coefficient of emf is \[-\,2\times {{10}^{-\,4}}\]volt \[{{\deg }^{-\,1}}.\] Then calculate the enthalpy change for the cell reaction.

    A) \[-108.08\,kJ\]   

    B) \[108.08\,kJ\]

    C) \[121.31\,kJ\]                

    D) \[-121.31\,kJ\]

    Correct Answer: A

    Solution :

    [a]
    \[Pb|PbC{{l}_{2}}||AgCl||Ag\]
    The cell reaction is
    \[Pb+2AgCl\xrightarrow{{}}PbC{{l}_{2}}+2Ag\]
    \[\Delta G=-nFE\]
    \[=-\,2\times 96500\times 0.5J\]
    \[=-\,96500J\]or \[-\,96.5kJ\]
    \[\Delta S=nF{{\left( \frac{\partial E}{\partial T} \right)}_{p}}\]
    \[=2\times 96500\times -2\times {{10}^{-\,4}}\]
    \[=-\,38.6J{{K}^{-1}}\]
    Also, \[\Delta G=\Delta H-T\Delta S\]
    \[=-\,96500\]
    \[=\Delta H-300\,(-38.6)\]
    \[=\Delta H=-\,96500-300\times 38.6\]
    \[=-108080J\]
    \[=-108.08\,kJ\] 


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