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Question

Select the rate law that conforms to the following data for the reaction : A+BProducts
Exp No.[A](mol L1)[B](mol L1)Initial rate(mol L1S1)10.00120.00351×10420.0240.0708×10330.0240.0351×10340.0120.0708×103


A

d[A]dt=k[A][B]2

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B

d[A]dt=k[A]2[B]

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C

d[A]dt=k[A][B]3

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D

d[A]dt=k[B]3

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Solution

The correct option is D

d[A]dt=k[B]3


Rate = k[A]x[B]y ; From exp 2 & 3.
(rate)2(rate)3=k[0.024]x[0.070]y[0.024]x[0.035]y=8×1031×103=8or 2y=8=23,y=3
From exp 2 and 4,
(rate)2(rate)1=8×1038×103=k[0.024]x[0.070]yk[0.012]x[0.070]y=2xor 2x=1x=0or,d[A]dt=k[B]3


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