Derive the formula of first order reaction for
1) Rate constant K
2) Half life period t half
arpitasur1974:
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rate constant k is till the box
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For a first order reaction differential rate law can be written as:
−
dt
dA
= k[A] where k is the rate constant of first order reaction
Integrating the above equation we can write the first order rate law expression as:
[A]
t
=[A]
o
e
−kt
or kt=2.303 log
[A]
t
[A]
o
For, half life period, [A]
t
=[A]
o
/2
Therefore, t
1/2
=
k
2.303 log 2
or t
1/2
=
k
ln 2
Explanation:
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