VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    The standard free energy change of a reaction is  \[\Delta {{G}^{o}}=-115kJ\] at 298 K. Calculate the equilibrium constant \[{{K}_{P}}\]  in \[\log {{K}_{P}}\] \[(R=8.314\,\,J{{K}^{-1}}mo{{l}^{-1}}).\]

    A)  \[20.16\]          

    B)  \[2.303\]

    C)  \[2.016\]          

    D)  \[13.83\]

    Correct Answer: A

    Solution :

     \[\Delta {{G}^{o}}=-115\times {{10}^{3}}J,\] \[T=298K,\,\,R=8.314J{{K}^{-1}}mo{{l}^{-1}}\] \[-\Delta {{G}^{o}}=2.303RT\,\,{{\log }_{10}}\,{{K}_{P}}\] \[-(-115\times {{10}^{3}})=2.303\times 8.314\times 298{{\log }_{10}}{{K}_{p}}\] \[{{\log }_{10}}\,\,{{K}_{P}}=\frac{115000}{2.303\times 8.314\times 298}\] \[{{\log }_{10}}\,\,{{K}_{P}}=20.16\]


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