JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The thermal decomposition of a molecule shows first order kinetics. The molecule decomposes \[50%\] in\[120\,\,\min \]. How much time it will take to decompose\[90%\]?

    A) \[300\,\,\min \]               

    B) \[360\,\,\min \]

    C)  \[398.8\,\,\min \]                           

    D)  \[400\,\,\min \]

    Correct Answer: C

    Solution :

    \[t=\frac{2.303}{k}\log \frac{a}{a-x}\] (I) When\[a=100\],\[x=50\]and\[t=120\min \]                 \[k=\frac{2.303}{120}\log \frac{100}{100-50}\]                 \[k=\frac{2.303}{120}\log 2\]                 \[k=\frac{2.303\times 0.3010}{120}=0.00578\,\,{{\min }^{-1}}\] (II) When\[a=100\],\[x=90\],\[t=?\]                 \[t=\frac{2.303}{0.00578}\log \frac{100}{100-90}\] \[t=\frac{2.303}{0.00578}\times \log 10=398.4\approx 398.8min\]


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