Show that the time required for the completion of 3/4th of the first order reaction is twice the time required for the completion of half of the reaction.
Given, order of reaction = 1
For completion of 3/4th reaction, [R] = [R0] -
[R0] =
[R0]
For 1st order reaction, K = ![]()
t = ![]()
t =
=
…1
Now, for a 1st order reaction, K = ![]()
=
…2
From equation 1 and 2, t = t1/2
I.e. time required (t) for the completion of 3/4th of the first order reaction is twice the time required for the completion of half of the reaction (t1/2).
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