MGIMS WARDHA MGIMS WARDHA Solved Paper-2006

  • question_answer
    \[A+2B\xrightarrow[{}]{{}}C+D,\]If \[-\frac{d[A]}{dt}=5\times {{10}^{-4}}mol\,{{L}^{-1}}{{s}^{-1}},\] then\[-\frac{d[B]}{dt}\] is:

    A)  \[2.5\times {{10}^{-4}}mol\,{{L}^{-1}}{{s}^{-1}}\]

    B)  \[50\times {{10}^{-4}}mol\,{{L}^{-1}}{{s}^{-1}}\]

    C)  \[2.5\times {{10}^{-3}}mol\,{{L}^{-1}}{{s}^{-1}}\]

    D)  \[1.0\times {{10}^{-3}}mol\,{{L}^{-1}}{{s}^{-1}}\]

    Correct Answer: A

    Solution :

                     \[A+2B\xrightarrow{{}}C+D\]for this reaction \[-\frac{d[A]dt}{{}}=-\frac{1}{2}\frac{d[B]}{dt}=+\frac{d[C]}{dt}=+\frac{d[D]}{dt}\] if  \[-\frac{d[A]}{dt}=5\times {{10}^{-4}}mol\,{{L}^{-1}}{{s}^{-1}}\] then   \[-\frac{1}{2}\frac{d[B]}{dt}=\frac{5\times {{10}^{-4}}}{2}\]                 \[=2.5\times {{10}^{-4}}mol\,{{L}^{-1}}{{s}^{-1}}\]           


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