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A first order reaction takes 40 min for ...

A first order reaction takes 40 min for 30% completion. Calculate `t_(1/2)`.

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Let a M be the initial concentration .
After 40 minutes , the concentration is ,
` a - 30 a// 100 = 0.70 a `
` k = 2.303// t log [A]//[A]`
` k = 2.303//40 log a//0.7a`
` k = 8.92 xx 10^(-3) min^(-1)`
The half life period,
`t_(1//2) = 0.69//K =0.693 //8.92 xx 10^(-=3) min^(-1) = 77.7 min`
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