Chapter 11, Problem 43E

The dimerization of butadiene

${\text{2C}}_{\text{4}}{\text{H}}_{\text{6}}\left(g\right)\to {\text{C}}_8{\text{H}}_{\text{12}}\left(g\right)$

was studied at 500. K, and the following data were obtained:

Time(s)	[C4H6](mol/L)
195	1.6 × 10−2
604	1.5 × 10−2
1246	1.3 × 10−2
2180	1.1 × 10−2
6210	0.68 × 10−2

Assuming that

$\text{Rate = -}\frac{\Delta \left[{\text{C}}_{\text{4}}{\text{H}}_{\text{6}}\right]}{\Delta t}$

determine the form of the rate law, the integrated rate law, and the value of the rate constant for this reaction.