- A first-order decomposition reaction is shown below.

AB(g) → A(g) + B(g)

The half-life of the reaction was found to be 3.47 s. What is the time taken for AB(g)

to reach one-third of its initial concentration?

A. 3.0 s

B. 3.5 s

C. 5.5 s

D. 7.0 s

E. 6.0s

Mind mentioning the answer?

Hey!

I think the answer must be 4.62 which is not in the question:))

c is the answer. I just need an explanation

Hey Ari, could you please also include some practice problems on “Kinetics and Catalysis” in the summer class resources?

Imgur: The magic of the Internet @AriHoresh hey!

This is my worked solution, but there is not such an option in the question…

Hi,

I think I found the explanation to this question. We know the half-life is 3.47s, so 1/3 of the original concentration is going to be reached in the “2nd half-life” (between 3.47-6.94s). We also know that 1/3 is almost half-way between 1/2 and 1/4 of the concentration (a little below). Therefore, the time to reach 1/3 of concentration will be a bit more than half-way between 3.47s and 6.94s. Thus, its a bit more than 5.205s which is the closest to 5.5s, so the answer should be C.

I hope that makes sense:)

Hey Darius!

Thanks!

But I really have no idea why my answer’s wrong!