AIIMS AIIMS Solved Paper-2000

  • question_answer
    Which of the following statement is false for the reaction \[{{H}_{2}}+B{{r}_{2}}\xrightarrow{{}}2HBr\]? The rate law is \[\frac{dx}{dt}=k[{{H}_{2}}]{{[B{{r}_{2}}]}^{1/2}}\].

    A)  Order of reaction is 1.5

    B)  Molecularity of the reaction is 2

    C)  By increasing the concentration of \[B{{r}_{2}}\] four times the; rate of reaction is doubled

    D)  All the above are correct

    Correct Answer: D

    Solution :

    The given reaction \[{{H}_{2}}+B{{r}_{2}}\xrightarrow{{}}2HBr\] is a bi-molecular reaction as moles of reactant are 2. The order can be determined as: \[\frac{dx}{dt}=k[{{H}_{2}}]{{[B{{r}_{2}}]}^{1/2}}\] Order \[=\frac{1+1}{2}=\frac{3}{2}=1.5\] If conc. of \[B{{r}_{2}}\] is increased 4 times rate  \[k[{{H}_{2}}]{{[4B{{r}_{2}}]}^{1/2}}\] \[=2k[{{H}_{2}}]{{[B{{r}_{2}}]}^{1/2}}\] \[=2\times \operatorname{inttial}\,rate\] i.e., rate increases 2 times. Hence, all the statements are correct


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