The rearrangement of cyclopropane to propene has been studied at various temperatures with the following results.
Rate constant, k (s-1) Temperature (K)
3.30 x 10-9 600
2.19 x 10-7 650
7.96 x 10-6 700
1.80 x 10-4 750
2.74 x 10-3 800
3.04 x 10-2 850
2.58 x 10-1 900
(a) From the appropriate plot of these data, determine the value of the activation energy for this reaction.
(b) Use the graph to estimate the value of k at 500 K.
(c) Estimate the temperature at which the value of k would be equal to
5.00 x 10-5 s-1.
This problems takes rate data with respect to temperature and uses the Arrhenius equation and plot to extract key information.