Do you need to know A to use the Arrhenius equation?

k = AeEa/RT

Using the exponential form of the Arrhenius equation,

rate constants measured at different temperatures can be used

  • to determine Eaand A graphically and then<
  • to use A to calculate the rate constant at a different temperature

A form of the Arrhenius equation in which A does not appear can be derived by taking the difference between the logarithmic form at two different temperatures.

ln k2 = -Ea × 1 + ln A
RT2
minus
ln k1 = -Ea × 1 + ln A
RT1
equals
lnk2 = -Ea(1-1)
k1RT2T1
This relationship is a convenient way
  • to calculate Ea from k at two different temperatures
     
  • to determine k at a second temperature from k at one temperature and Ea