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### Topic: Arrhenius Equation  (Read 5812 times)

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#### Hunt ##### Arrhenius Equation
« on: February 24, 2006, 07:32:05 PM »
Does anyone know how to mathematically derive the Arrhenius Equation?

#### madscientist ##### Re:Arrhenius Equation
« Reply #1 on: February 25, 2006, 07:08:08 AM »
I can tell you that you start with the van't Hoff equation, Vant_Hoff replacing the Delta H rxn with EA, which is the activation energy.

p.der = partial derivitive

p.der (ln K) / p.der (1/T) = -( Delta H rxn / R )

replacing Delta H rxn with EA gives:

p.der (ln K) / p.der (1/T) = -( EA / R )

by rearranging and integrating both sides you can derive the Arrhenius equation, have a go at doing it and ill work through it with you.

cheers,

« Last Edit: February 25, 2006, 07:10:18 AM by madscientist »
The only stupid question is a question not asked.

#### madscientist ##### Re:Arrhenius Equation
« Reply #2 on: February 25, 2006, 07:12:52 AM »
one more hint, the integration constant  "C" is represented by A which is somtimes called the pre-exponential factor.

#### Hunt 