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Consider the hypothetical reaction A + 2B ---> AB2 Assume that the following pro

ID: 495074 • Letter: C

Question

Consider the hypothetical reaction A + 2B ---> AB2

Assume that the following proposed mechanism is consistent with the rate data.

B+B ---> B2 slow

B2+A ---> AB+B fast

B+AB ---> AB2 fast

Which one of the following statements must be true?

a) first order in A, second order in B and third order overall

b) second order in B and second order overall

c) first order in A and first order overall

**I know the answer is B, I'm just not sure how to find the order and overall order...I'm lost with this, can you please explain step-by-step for me. Thank you!

Explanation / Answer

Rate depends on the slowest step and here the 1st step is slowest step

So, rate law can be written just be seeing the 1st step here

rate law is:
rate = k [B][B]
rate = k [B]^2

SO, order of B is 2
And since only B comes in rate law , overall order is 2

Answer: b