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A first order reaction, which is 30% com...

A first order reaction, which is 30% complete in 30 min has a half-life period of -

A

102.2 min

B

58.2 min

C

24.2 min

D

120.2 min

Text Solution

Verified by Experts

For first order reaction
`t=(1)/(k)log.(a)/(a-x)`
`:.(t_(30%))/(t_(50%))=((1)/(k)xx2.303xxlog.(100)/(100-30))/((1)/(k)xx2.303xxlog.(100)/(100-50))`
`:.(30)/(t_(1//2))=(log.(10)/(7))/(log2) " or, "(30)/(t_(1//2))=(0.1549)/(0.3010)`
or, `t_(1//2)=(0.3010xx30)/(0.1549)=58.2956=min~~58.3min`
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