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In a first order reaction, the concentra...

In a first order reaction, the concentration of the reactant decrease from 0.6 M to 0.3 M in 15 min. The time taken for the concentration to change from 0.1 M to 0.025 M in minutes is

A

1.2

B

12

C

30

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`t_(1//2)=15 min`
`k=0.693/(t/2)= 0.693/15` .....(1)
But,
`k=2.3.3/t "log"[A]_(0)/([A])`
`0.693/15 =2.3.3/t "log"(0.1/0.025)`
`therefore t= (15xx2.3.3)/0.693 xx "log"0.1/0.025`
`=30.011 cong 30 min`
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