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J & K CET Medical J & K - CET Medical Solved Paper-2011

  • question_answer
    The values of\[\Delta H\]and\[\Delta S\]for a reaction are \[30\text{ }kJ\text{ }mo{{l}^{-1}}\]and\[100\text{ }J{{K}^{-1}}mo{{l}^{-1}}\] respectively. Then the temperature above which the reaction will become spontaneous is

    A)  300 K                                   

    B)  30 K

    C)  100 K                                   

    D) \[{{300}^{o}}C\]

    Correct Answer: A

    Solution :

                    \[\because \]\[\Delta G=\Delta H-T.\Delta S\] \[\Delta G=30000-(T\times 100)J\,mo{{l}^{-1}}\] For spontaneous process AG should be negative, i.e.,\[\Delta G<0\]and this occurs when \[T\Delta S>\Delta H\]. \[T>\frac{\Delta H}{\Delta S}\] \[T>\frac{30000}{100}\] \[T>300\,K\]      


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