Solution: The following data show the rate constant of a reaction measured at several different temperatures. Temperature (K)  Rate Constant  (1/s)3100.1903200.5443301.463403.703508.89Use an Arrhenius plot to determine the activation barrier for the reaction.

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


 Temperature (K Rate Constant  (1/s)
3100.190
3200.544
3301.46
3403.70
3508.89


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

Solution

We’re being asked to determine the activation energy (Ea) of a reaction given the temperature and rate constant values.


We’re given the temperature (K) and rate constant (1/s) values. 

This means that 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


Solution BlurView Complete Written Solution