ChemistryGeneral Chemistry

Integrated Rate Laws: Determine Butadiene Reaction Order from Data

Compare logarithmic and reciprocal concentration plots to identify butadiene kinetics and estimate the rate constant.

Question

For the butadiene dimerization reaction 2 C₄H₆(g) → C₈H₁₂(g), prepare and compare two suitable plots of the data below to decide between first-order and second-order kinetics. Then estimate the rate constant.

Time (s)[C₄H₆] (mol/L)
01.00 × 10⁻²
16005.04 × 10⁻³
32003.37 × 10⁻³
48002.53 × 10⁻³
62002.08 × 10⁻³

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Evidence boundary

The complete concentration–time dataset and first-versus-second-order request come from OpenStax Example 12.9. The plots are newly drawn from those tabulated data, not copied textbook graphics. The constant is estimated from rounded data and follows the disappearance-rate convention of the integrated law; no new experimental measurements are asserted.