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A first order reaction takes 40 min for ...

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

Text Solution

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Let initial conc. =1
Conc. After 40 mins. `=a-(axx30)/100`
=0.70 a
`K=2.303/t "log"([A]_0)/([A])`
`=2.303/40 "log"a/(0.70a)`
`=2.303/40 "log"1/0.70`
`=2.303/40xx0.1549`
`=8.92xx10^(-3) "min"^(-1)`
`t_(1//2)=0.693/K`
`=0.693/(8.92xx10^(-3))`=77.7 min
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