Derive the integrated rate equation for velocity constant of first order or zero order reaction.
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Consider a zero order reaction A→ products.
The rate law is rate =−
dt
d[A]
=k[A]
0
=k
Rearrange above equation
d[A]=−kdt
Integrate between limits [A]=[A]
0
at t=0 and [A]=[A]
t
at t=t
∫
[A]
0
[A]
d[A]=−k∫
0
t
dt
Hence, [A]
[A]
0
[A]
t
=−k(t)
0
t
[A]
t
−[A]
0
=−kt
[A]
t
=−kt+[A]
0
k=
t
[A]
0
−[A]
t
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