JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    Consider the following reactions at \[{{1100}^{o}}C\] (I) \[2C+{{O}_{2}}\xrightarrow{{}}2CO\], \[\Delta {{G}^{o}}=-460\,kJ\,mo{{l}^{-1}}\] (II) \[2Zn+{{O}_{2}}\xrightarrow{{}}2ZnO\], \[\Delta {{G}^{o}}+=-360\,kJ\,mo{{l}^{-1}}\] Based on these, select the correct alternate.   AIEEE  Solved  Paper-2002

    A) Zinc can be oxidised by CO

    B) Zinc oxide can be reduced by carbon

    C) Both (a) and (b)

    D) None of the above

    Correct Answer: B

    Solution :

    \[2Zn+2C\xrightarrow{{}}2Zn+2CO,\Delta {{G}^{o}}=-100\,kJ/mol\] Hence, this is spontaneous. During reduction of a metal oxide, reducing agent forms its oxide. The role of reducing agent is to provide \[{{\Delta }^{o}}G\] negative and large enough to make the sum of \[{{\Delta }^{o}}G\] of the two reactions (oxidation of the reducing agent and reduction of the metal oxide) negative. Now, for the given reactions \[{{\Delta }^{o}}G\] is provided for the oxidation of carbon and zinc. To get \[{{\Delta }^{o}}G\] for the reduction of \[ZnO,\] equation-(ll) has to be reversed as follows- \[2ZnO\xrightarrow{{}}2Zn+{{O}_{2}}\,;{{\Delta }^{o}}G=+360\,\,kJ\,mo{{l}^{-1}}\] Positive value of \[{{\Delta }^{o}}G\] shows that it is a non-spontaneous process. But this reaction can be drive to the spontaneity by coupling it with first reaction. \[2ZnO+2C\xrightarrow{{}}2CO+2Zn\] \[{{\Delta }^{o}}G=-460+360=-100\,\,kJmo{{l}^{-1}}\]


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