Chemical Kinetics Ques 40

40. Select the rate law that corresponds to data shown for the following reaction $A+B \longrightarrow$ products.

[1994]

Exp. $[A]$ $[B]$ Initial rate
1 0.012 0.035 0.1
2 0.024 0.070 0.8
3 0.024 0.035 0.1
4 0.012 0.070 0.8

(a) $rate=k[B]^{3}$

(b) rate $=k[B]^{4}$

(c) rate $=k[A][B]^{3}$

(d) rate $=k[A]^{2}[B]^{2}$

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Answer:

Correct Answer: 40.(a)

Solution:

(a) From data 1 and 3, it is clear that keeping (B) const, When $[A]$ is doubled, rate remains unaffected. Hence rate is independent of $[A]$. from 1 and 4, keeping $[A]$ constant, when $[B]$ is doubled, rate become 8 times. Hence rate $\propto[B]^{3}$.