[Boxxxed]

In the image below they are substituting given temperature values for the rate constants variables in the equation? I have never seen this before?

[JustinCh3m]

In the image below they are substituting given temperature values for the rate constants variables in the equation?

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They are not doing this actually.  What they have is the integrated version of the Arrhenius equation and there's a "situation 1" and "situation 2" -- your G-chem book should have a good sample calc. of this.