Give the derivation. Of first order reaction
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Derivation of first order reaction
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First of all
For a reaction R➡️ P
Rate =. - d [R] / dt
=. K [R] ➡️ (1)
Or d [R] / [R] = -Kdt
On integrating
In [ R] = - kt + In [R]o ➡️ (2)
Kt = In [R]o - In [R]
Kt = In [ R]o/ [R] ➡️ (3)
Also
K = 1/( t2 - t1) In [R]1/ [R]2 ➡️ (4)
Eq (3) can also be written as
K= 2.303/ t log [R]o / [R]
➡️ Log [R]o/[R] = kt / 2.303
Hope it helps
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