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For a fist order reaction the rate const...

For a fist order reaction the rate constant is 6.909 `min^(-1)` . The time taken for 75% conversion in minutes is :

A

`(3)/(2) "log"2`

B

`(2)/(3)` log 3

C

`(2)/(3)` log 2

D

`(3)/(2)` log `(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
(C ) k = 6.909 `min^(-1)`
`t= (2.303)/(6.909)"log" (100)/(25)`
`=(2.303)/(6.909)xx"log" 4`
`= (2.303)/(6.909) xx2 "log" 2 = (2)/(3 ) "log" 2 `
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