MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    The rate of reaction,\[2NO+C{{l}_{2}}2NOCl\] becomes double when the concentration of\[C{{l}_{2}}\]is doubled. However, when the concentration of both the reactants is doubled the rate becomes eight times. What is order of the reaction?

    A)  First                     

    B)  Second

    C)  Third                    

    D)  Zero

    Correct Answer: C

    Solution :

                    \[r=k{{[NO]}^{\alpha }}{{[C{{l}_{2}}]}^{\beta }}=k{{a}^{\alpha }}{{b}^{\beta }}\]           ...(i) or,   \[2r={{k}^{\alpha }}(2b){{|}^{\beta }}={{2}^{\beta }}.k{{a}^{\alpha }}{{b}^{\beta }}\]              ...(ii) Dividing (ii) by (i) \[2={{2}^{\beta }}\]or, \[\beta =1\] Further,  \[8r=k{{(2a)}^{\alpha }}{{(2b)}^{\beta }}\] or,            \[8r={{2}^{\alpha +\beta }}k{{a}^{\alpha }}{{b}^{\beta }}\]                       ...(iii) Dividing (iii) by (i)                 \[8={{2}^{\alpha +\beta }}\] Or,              \[{{2}^{3}}={{2}^{\alpha +\beta }}\] or,             \[\alpha +\beta =3\]or, \[\alpha =2\] Overall order = 3.


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