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For the first order reaction, the time t...

For the first order reaction, the time taken to reduce the initial concentration by a factor of 1/4 is 20min. The time required to reduce initial concentration by a factor of 1/16 is __________ min.

A

10 min

B

20 min

C

4.46 min

D

2.24 min

Text Solution

Verified by Experts

The correct Answer is:
B
`10 K=2.303"log"(1)/(1-(1)/(4))=2.303 "log"(4)/(3)`
`tk=2.303"log"(1)/(1-(1)/(16))=2.303"log"(16)/(15)`
`(1),(2)(t)/(10)=(("log"16)-("log"15))/(("log"4)-("log"3))=(0.028)/(0.125)`
`rArrt=(0.28)/(0.125)min=2.24min`
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