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75% of the first order reaction is compl...

`75%` of the first order reaction is completed in 30 minutes. Calculate rate constant of the reaction.

Text Solution

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Given : t =30 min, `[R]_0 =100, " " [R] =25`
`K = 2.303/t log "" ([R]_0)/([R])`
`t = 2.303/30 log "" (100)/25`
`K = 0.0767 xx log 4`
`= 0.0767 xx log 0.6021` ,br> `K = 0.0461 "min"^(-1)`
OR
Any alternate method
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