The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2=0.301)

230.3 minutes

23.03 minutes

46.06 minutes

460.6 minutes

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Solution

46.06 minutes

because space straight lambda space equals space fraction numerator 0.693 over denominator straight t subscript 1 divided by 2 end subscript end fraction space equals space fraction numerator 0.693 over denominator 6.93 end fraction space min to the power of negative 1 end exponent Also space straight t space equals space fraction numerator 2.303 over denominator straight lambda end fraction space log space fraction numerator left square bracket straight A subscript 0 right square bracket over denominator left square bracket straight A right square bracket end fraction left square bracket straight A subscript 0 right square bracket space equals space initial space concentration space left square bracket straight A right square bracket space space equals space final space concentration therefore space straight t space equals fraction numerator 2.303 space straight x 6.93 over denominator 0.6932 end fraction space log space 100 over 1 space equals space 46.06 space minutes

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