Problem: The following data show the rate constant of a reaction measured at several different temperatures. Temperature (K)  Rate Constant  (1/s)3002.15×10−23106.55×10−23200.1863300.4953401.24Use an Arrhenius plot to determine the activation barrier for the reaction.

FREE Expert Solution

We’re being asked to determine the frequency factor (A) of a reaction given that the plot of ln k vs. 1/T has a slope of −1.5275 × 104 and an intercept of 23.6.


We’re given the plot of ln k (y) vs. 1/T (x). 


This means we need to use the two-point form of the Arrhenius Equation:


ln k=-EaR 1T + ln A


where: 

k = rate constant

Ea = activation energy (in J/mol)

R = gas constant (8.314 J/mol • K)

T = temperature (in K)

A = Arrhenius constant or frequency factor


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Problem Details
The following data show the rate constant of a reaction measured at several different temperatures.


 Temperature (K Rate Constant  (1/s)
3002.15×10−2
3106.55×10−2
3200.186
3300.495
3401.24


Use an Arrhenius plot to determine the activation barrier for the reaction.

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