INTEGRATED RATE LAW
So far we have used differential rate laws
e.g., for
aA
→
products
rate = -
∆
[A]/
∆
t = k[A]
x
(a differential
eqn)
Integration
gives [A] as a function of t
(more
useful)
1
st
order reaction (x = 1):
ln([A]
0
/[A]) = 2.303 log ([A]
0
/[A]) = kt
or
[A] = [A]
0
e
-kt
2
nd
order reaction (x = 2):
1/[A] = kt + 1/[A]
0

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