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CET Karnataka Medical CET - Karnataka Medical Solved Paper-2010

  • question_answer
    The following data is obtained during the first order thermal decomposition of \[2A(g)\xrightarrow{{}}B(g)+C(s)\] at constant volume and temperature
    S. No. Time Total pressure in pascal
    1. At the end of 10 min 300
    2. After completion 200
    The rate constant in min1 is

    A)  \[0.0693\]

    B)  \[6.93\]

    C)  \[0.00693\]

    D)  \[69.3\]

    Correct Answer: A

    Solution :

    \[\begin{align}   & \underset{0}{\mathop{\underset{2p-x}{\mathop{\underset{2p}{\mathop{2A}}\,}}\,}}\,\xrightarrow{{}}\underset{p}{\mathop{\underset{x}{\mathop{\underset{0}{\mathop{B}}\,}}\,}}\,+\underset{p}{\mathop{\underset{x}{\mathop{\underset{0}{\mathop{C}}\,}}\,}}\,After\,10\min  \\  & After\,completion \\ \end{align}\] Given,         \[p+p=200\] \[2p=200\] After 10 min, \[2p-x+x+x=300\] (given) \[2p+x=300\] \[\therefore \] \[x=300-200=100\] \[k=\frac{2.303}{10}\log \frac{200}{100}\] \[=0.0693{{\min }^{-1}}\]


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