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Question

Two first order reaction have half-lives in the ratio 8:1. Calculate the ratio of time intervals t1 and t2 are the time period for the (14)th and (34)th completion.

A
1:0.301
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B
0.125:0.602
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C
1:0.602
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D
none of these
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Solution

The correct option is C 1:0.602
As their half-lives in the ratio 8:1 so their rate constant ratio is 1:8 so ratio of time taken is t1/t2=(2.303/k1)log(1/(11/4))(2.303/k2)log(1/(13/4))=8×log(4/3)log4=1:0.602

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