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A first order reaction has a specific re...

A first order reaction has a specific reaction rate of `10^(-2) s^(-1)`. How much time will it take for 20 g of the reactant to reduce to 5 g ?

A

`693.0` second

B

`238.6` second

C

`138.6` second

D

`346.5` second

Text Solution

Verified by Experts

The correct Answer is:
C
`k = 10^(-2) " s"^(-2) , t = ? [R_0] = 20 g`
`[R] = 5` g
`t = (2.303)/( k ) log"" ([R_0])/( [R])`
` t= (2.303)/( 10^(-2) ) log "" (20)/ (5)`
`t = 138.6` sec
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