MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • question_answer
    For a reaction\[A+B\xrightarrow{{}}C+D\]if the concentration of A is doubled without alteming the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without alteming the concentration of A, the rate gets tripled. The order of the reaction is

    A)  2                                            

    B) 1

    C) 3/2                        

    D) 4/3

    Correct Answer: C

    Solution :

    \[A+B\xrightarrow{{}}C+D\] Rate        \[(r)=k{{[A]}^{a}}{{[B]}^{b}}\]                    ...(i) \[2r=k{{[2A]}^{a}}{{[B]}^{b}}\]                   ...(ii) \[3r=k{{[A]}^{a}}{{[9B]}^{b}}\]                   ...(iii) Dividing Eq (ii) by Eq (i) \[2={{2}^{a}}\]or\[a=1\] Dividing Eq (iii) by Eq (i) \[3={{9}^{b}}\]or \[3={{3}^{2b}}\] or            \[2b=1\]or \[b=\frac{1}{2}\] So, order of reaction\[=1+\frac{1}{2}=\frac{3}{2}\]


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