Arrhenius equation

Arrhenius Equation: $\ln k = - \frac{E_{a}}{RT} + \ln A$

Jina Kwon
Posts: 100
Joined: Fri Aug 09, 2019 12:15 am

Arrhenius equation

When you're modeling a reaction using the Arrhenius theory, why will the plot be linear?

Diana A 2L
Posts: 106
Joined: Sat Aug 17, 2019 12:16 am
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Re: Arrhenius equation

Jina Kwon wrote:When you're modeling a reaction using the Arrhenius theory, why will the plot be linear?

This is because taking the natural log of the Arrhenius equation yields: ln k = ln A - Ea/R(1/T). Then rearranging that gives: ln k = -Ea/R(1/T) + ln A. This equation has the linear form of y=Mx +b. When a reaction has a rate constant by the Arrhenius theory, a plot of ln k vs 1/T gives a straight line.