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for a first order reaction , the tim...

for a first order reaction , the time taken to reduce the initial concentration by a factor of `(1)/(4) ` is 20 minutes . The time required to reduce intitial concentration by a factor of `(1)/(16)` is

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Case I
`rArr ln ""(A_(o))/(A_(t)) =kt" "rArr ln""(1)/(1-1//4) =kt rArr ln ""(4)/(3)=kt rArr k=(1)/(20) ln""(4)/(3) =0.0143`
`t=(1)/(0.0143) ln(1)/(1-1//16) =(1)/(0.0143) ln (16)/(15) =4.51` min
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