# 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:

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

93% (293 ratings) ###### Problem Details
The following data show the rate constant of a reaction measured at several different temperatures.

 Temperature (K) Rate Constant  (1/s) 300 2.15×10−2 310 6.55×10−2 320 0.186 330 0.495 340 1.24

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