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Topic: first order reactions  (Read 4063 times)

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Offline ixi

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first order reactions
« on: December 06, 2007, 04:44:45 PM »
for the reaction
A---->P
R=k[A]=-d[A]/dt
integrate it:
Integrate d[A]/[A] from [A]0 to [A] which is equal to -kdt from 0 to t.
i get
ln([A]/[A]0)=-kt

i understand everything up to this point, but then the book rights-
[A]=[A]0 e^(-kt)
i know it's just math to get this, but i can't seem to be able to figure how they got this.


thanks :)

Offline Padfoot

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Re: first order reactions
« Reply #1 on: December 06, 2007, 05:57:38 PM »
for the reaction
ln([A]/[A]0)=-kt

i understand everything up to this point, but then the book rights-
[A]=[A]0 e^(-kt)
i know it's just math to get this, but i can't seem to be able to figure how they got this.
Remember that 'ln' is simply log to base e.
So using that, ln([A]/[A]0)=-kt basically just says e^(-kt)= ([A]/[A]0)
This can be rearranged like they have  :)

Offline ixi

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Re: first order reactions
« Reply #2 on: December 06, 2007, 08:53:00 PM »
oh i see. thanks

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