Chapter 11, Problem 54QAP

Butadiene, ${\text{C}}_4{\text{H}}_6$, dimerizes according to the following reaction:

${\text{C}}_4{\text{H}}_6\left(g\right)\to {\text{C}}_8{\text{H}}_{12}\left(g\right)$The dimerization is a second-order reaction. It takes 145 s for the concentration of ${\text{C}}_4{\text{H}}_6$ to go from 0.350 M to 0.197 M.

(a) What is k for the dimerization?

(b) What is the half-life of the reaction when butadiene is 0.200 M?

(c) How long will it take to dimerize 28.9% of a 0.558 M sample?

d) How fast is 0.128 M butadiene dimerizing?