The isomerization of cyclopropane to propene is first order in cyclopropane

CHEMISTRY · Multi-part · AP · Chemistry · Kinetics · Kinetics

Problem

The isomerization of cyclopropane to propene is first order in cyclopropane. Data for three experiments are given.
ExperimentTemperature (∘C^\circ\text{C})k (s−1s^{-1})Initial [C3H6C_3H_6] (mol⋅L−1\text{mol}\cdot\text{L}^{-1})
15001.5×10−31.5 \times 10^{-3}0.080
25504.5×10−34.5 \times 10^{-3}0.040
35002.1×10−32.1 \times 10^{-3}0.120
(a) Calculate the initial rate (in mol⋅L−1⋅s−1\text{mol}\cdot\text{L}^{-1}\cdot s^{-1}) for each experiment. Show your work and report each answer with the appropriate number of significant figures. (b) Using the calculated initial rates, rank the experiments from fastest to slowest. Express the ranking in the form "___ > ___ > ___." (c) Discuss which kinetic factor—temperature or initial concentration—has the dominant influence on the rate in this set of experiments, supporting your claim with quantitative evidence from parts (a) and (b).

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