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# Arrhenius equation plot

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1. hey,

I was working on a group project and came across a problem.

the arrhenius equation states that k should be proportioanl to e^(-1/T)

But I also know that rate should grow exponentially with temperature. However, the proportioanlity i said before does not show this, it says it grows a bit and then reaches a limit.

Can someone tell me what the graph of rate or a reaction against temperature should look like and why (mathematically?)

Thank you!!!
2. (Original post by cyril_)
hey,

I was working on a group project and came across a problem.

the arrhenius equation states that k should be proportioanl to e^(-1/T)

But I also know that rate should grow exponentially with temperature. However, the proportioanlity i said before does not show this, it says it grows a bit and then reaches a limit.

Can someone tell me what the graph of rate or a reaction against temperature should look like and why (mathematically?)

Thank you!!!
you are quite correct.

BUT it is the natural log of k that is proportional to -Ea/RT

This is because k = Ae-Ea/RT

So taking natural logs

lnk = lnA - Ea/RT

In which a plot of lnk against 1/T has the form of a straight line.

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