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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
    The. free   energy  change  for  the decomposition reaction,\[\frac{2}{3}A{{l}_{2}}{{O}_{3}}\xrightarrow[{}]{{}}\frac{4}{3}Al+{{O}_{2}}\]is\[\Delta G=+960\,kJ\] (\[F=96500\text{ }C\,mo{{l}^{-1}}\]) The minimum potential difference required to reduce \[A{{l}_{2}}{{O}_{3}}\]at\[500{}^\circ C\]will be

    A)  1.345V                

    B)  1.724V

    C)  2.146V                

    D)  2.487V

    Correct Answer: D

    Solution :

                    \[A{{l}_{2}}{{O}_{3}}(2A{{l}^{3+}}+3{{O}^{2-}})\xrightarrow[{}]{{}}2Al+\frac{3}{2}{{O}_{2}};\]\[n=6{{e}^{-}}\] \[\frac{2}{3}A{{l}_{2}}{{O}_{3}}\xrightarrow[{}]{{}}\frac{4}{3}Al+{{O}_{2}};\]        \[n=4{{e}^{-}}\] \[\Delta G=+960\,kJ=+960000J\] \[\Delta G=-nFE\] \[960000=-4\times 96500\times E\] \[E=-2.487\,V\] Minimum potential difference required to reduce\[A{{l}_{2}}{{O}_{3}}\]is 2.487 V.


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