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CET Karnataka Engineering CET - Karnataka Engineering 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.N. Time Total pressure in Pascal
    1. At the end of 10 min 300
    2. After completion 200
      The rate constant in \[{{\min }^{-1}}\] is  

    A)   0.0693                                  

    B)   6.93

    C)   0.00693                

    D)     69.3  

    Correct Answer: A

    Solution :

     
    \[2\,A\] \[\xrightarrow{{}}\] B + C
    \[2p\]   0   0
    \[2p-x\]   \[x\] \[x\] After 10 min
    0   p p After completion
                    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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