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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    For the reaction\[CO(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}\]\[C{{O}_{2}}(g),\Delta H\]and \[\Delta S\] are\[-283kJ\]and\[-87J{{K}^{-1}},\]respectively. It was intended to carry out this reaction at 1000, 1500, 3000 and 3500 K. At which of these temperatures would this reaction be thermodynamically spontaneous?

    A) 1500 and 3500 K

    B) 3000 and 3500 K

    C) 1000, 1500 and 3000 K

    D) 1500, 3000 and 3500 K

    E) At all these temperatures

    Correct Answer: C

    Solution :

    \[\because \] \[\Delta G=\Delta H-T.\Delta S\] For a spontaneous reaction\[\Delta G\]should be negative \[\Delta H=-238\text{ }kJ,\Delta S=-\text{ }87\text{ }J{{K}^{-1}}\] Hence, reaction will be spontaneous when \[\Delta H>T.\Delta S\]. Therefore, at 1000, 1500 and 3000 K the reaction would be spontaneous.


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