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KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    For the reaction, \[2A+B\to \] products, when the concentrations of A and B both were doubled, the rate of the reaction increased from 0.3 mol \[{{L}^{-\,1}}{{s}^{-\,1}}\] to 2.4 mol \[{{L}^{-\,1}}{{s}^{-\,1}}.\] When the concentration of A alone is doubled, the rate increased from 0.3 mol \[{{L}^{-\,1}}{{s}^{-\,1}}\] 0.6 mol \[{{L}^{-\,1}}{{s}^{-\,1}}.\] Which one of the following statements is correct?

    A) Total order of the reaction is 4

    B) Order of the reaction with respect to B is 2

    C) Order of the reaction with respect to B is 1

    D) Order of the reaction with respect to A is 2

    Correct Answer: B

    Solution :

    2A+ B \[\to \] products
    Rate \[=K{{[A]}^{x}}{{[B]}^{y}}\]
    \[r=K{{[A]}^{x}}{{[B]}^{y}}\]                      
    \[0.3=K{{[A]}^{x}}{{[B]}^{y}}\] ? (1)
    \[0.24=K{{[2A]}^{x}}{{[2B]}^{y}}\] ? (2)
    \[0.6=K{{[2A]}^{x}}{{[B]}^{y}}\] ? (3)
    From (1), (2) and (3)
    \[x=1,y=2\]
    Overall order \[=2+1=3\]
    Order w.r.t \[A=1\]
    Order w.r.t \[B=2.\]


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