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AMU Medical AMU Solved Paper-2013

  • question_answer
    Consider two standard half cells based on the reaction \[A{{g}^{+}}(aq)+{{e}^{-}}\xrightarrow{{}}Ag(s)\] The left half cell contains \[AgN{{O}_{3}}\] at 1M, and the right half cell initially had the same cone. of \[AgN{{O}_{3}}\], but just enough \[NaCl(aq)\] has been added to complete precipitate the \[A{{g}^{+}}(aq)\] as \[AgCl(s)\]. If cell emf is 0.295 V, the \[{{K}_{sp}}\] of \[AgCl\] approximately

    A)   \[1\times {{10}^{-12}}\]                             

    B)  \[6.60\times {{10}^{-12}}\]

    C)   \[1.10\times {{10}^{-10}}\]                       

    D)  \[6.60\times {{10}^{-10}}\]

    E)                 (e) None of these above

    Correct Answer: E

    Solution :

                    (e)\[\Delta {{G}^{o}}=-nF{{E}^{o}}\] \[\Delta {{G}^{o}}=-2.303\,\,RT\log {{K}_{sp}}\]                 \[nF{{E}^{o}}=2.303\,\,RT\log {{K}_{sp}}\] or   \[\log \,{{K}_{sp}}=\frac{nF{{E}^{o}}}{2.303\,RT}=\frac{1\times 96500\times 0.295}{2.303\times 8.314\times 298}\] \[\log \,{{K}_{sp}}=4.989\] or \[{{K}_{sp}}=9.750\times {{10}^{4}}\]


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