# 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) 310 0.190 320 0.544 330 1.46 340 3.70 350 8.89

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:

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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