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Question

The time required for a first-order reaction for 99% completion is x times for the time required for 90% completion. x is:

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Solution

Time required of a first-order reaction for 99% completion is x times for the time required for 90% completion. x is 2.

t=2.303klogaax

For 90% completion,

t90=2.303klog10010090=2.303k

For 99% completion,

t99=2.303klog10010099=4.605k

Hence, t99t90=4.605k2.303k=2=x

x=2

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