RAJASTHAN PMT Rajasthan - PMT Solved Paper-2001

  • question_answer
    The value of \[\Delta {{G}^{o}}\] of \[1\text{ }mole\] of gaseous number is \[87\text{ }kJ/mole\]at \[{{25}^{o}}C\]. At this temperature the value of 2C will be:

    A)  \[1.8\times {{10}^{15}}\]      

    B)         \[35\]

    C)  \[5.7\times {{10}^{-15}}\]           

    D)         \[4.9\]

    Correct Answer: C

    Solution :

    \[\Delta {{G}^{o}}=-RT\,\log \,{{K}_{p}}\] \[\Delta {{G}^{o}}=2.303\,RT\,\log \,{{K}_{p}}\]                 \[-\log \,{{K}_{p}}=\frac{\Delta {{G}^{o}}}{2.303RT}\] \[\because \]     \[R=8.314,\] \[\Delta {{G}^{o}}=87\]                 \[-\log \,{{K}_{p}}=\frac{\Delta {{G}^{o}}}{2.303RT}\]                 \[T=273+25=298K\] \[-\log {{K}_{p}}=\frac{87}{2.303\times 8.314\times 298}\] \[\log {{K}_{p}}=-0.0153\] Antilog \[(-0.0153)=5.7\times {{10}^{-15}}\]


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