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Q.

Select the law that corresponds to data shown for the following reaction 

A+B Products

Exp[A][B]Initial rate
10.0120.0350.1
20.0240.070 0.8
30.0240.0350.1
40.0120.0700.8

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a

Rate =k[B]3

b

Rate =k[B]4

c

Rate =k[A][B]3

d

Rate =k[A]2[B]2

answer is A.

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Detailed Solution

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From experiments (3) and (2), [A] is constant and [B] is double and rates becomes 8 times, so order w.r.t [B] = 3.
From experiments (1) and (3), [B] is constant and [A] is doubled, but rate does not change, so order w.r.t [A] = 0. Thus, rate =k[B]3

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