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Question

Which of the following relationship(s) is/are correct for a 1st order reaction?

A
t75%=2t1/2
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B
t87.5%=3t1/2
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C
t99.9%=9t1/2
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D
t96.87%=4t1/2
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Solution

The correct option is B t87.5%=3t1/2
For the first order reaction:
t=1klnA0At
Half life:
[At]=[A0]/2
t12=ln2k

For t75%
[At]=[A0]/4
t=1klnA0A0/4
t=2×1kln2
t0.75=2×t12

For t87.5%
t75%+t12=3×t12

For t99.9%
For t87.5%+t12=4×t12

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