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Show that time required to complete 99.9...

Show that time required to complete `99.9%` completion of a first order reaction is `1.5` times to `99%` completion.

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For the first order reaction, time required for 99% completion is :

For the first order reaction, time required for 99% completion is :

Time requires for 99% completion of a first order reaction is twice to that required for 90% completion of the same reaction. Explain.