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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 25

  • question_answer
    The values of \[\Delta H\,\,and\,\,\Delta S\] for the reaction, \[\operatorname{C}(graphite)+C{{O}_{2}}(g)\,\to \,\,2CO(g)\] are 170 kJ and \[170\,J{{K}^{-1}}\], respectively. This reaction will be spontaneous at

    A) 910 K

    B)                                1110 K

    C)        510 K               

    D)        710 K

    Correct Answer: B

    Solution :

    \[\Delta G=\Delta H\,\,-\,T\Delta S\] At equilibrium, \[\Delta G = 0\] \[=\,\,0=(170\times {{10}^{3}}\,J)-\,\,7(170J{{K}^{-1}})\] \[\Rightarrow \,\,\,T=1000K\] For spontaneity, \[\Delta G\] is - ve, which is possible only if \[\operatorname{T}>1000\,\,K.\]


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