Arrhenius Equation Variations

Arrhenius Equation:

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Mya Majewski 1L
Posts: 89
Joined: Fri Sep 25, 2015 3:00 am

Arrhenius Equation Variations

Postby Mya Majewski 1L » Thu Mar 14, 2019 9:20 pm

Is the equation ln(k2/K1)= Ea/R(1-T1-(1-T2) a variation of the Arrhenius equation?

Christopher Tran 1J
Posts: 77
Joined: Fri Sep 28, 2018 12:15 am

Re: Arrhenius Equation Variations

Postby Christopher Tran 1J » Thu Mar 14, 2019 9:30 pm

The equation ln(k2/k1)= Ea/R(1-T1-(1-T2) is derived from the Arrhenius equation for two temperatures.

ln k2 = -Ea/RT2 + ln A
ln k1 = -Ea/RT1 + ln A

By subtracting the two equations, you get ln k2 - ln k1 = -Ea/RT2 + Ea/RT1

Then you can factor out -Ea/R to get ln k2 - ln k1 = -Ea/R (-1/T2 + 1/T1)

After rearranging the temperature variables, you get the variation:

ln k2/k1 = -Ea/R (1/T1 - 1/T2).

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