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In a first order reaction A to B, if k i...

In a first order reaction `A to B`, if k is rate constant and initial concentration o f the reactant A is 0.5 M then the half-life is

A

`("In 2")/(k)`

B

`(0.693)/(0.5k)`

C

`(log 2)/( k)`

D

`(log 2)/( k sqrt(0.5) )`

Text Solution

Verified by Experts

The correct Answer is:
A
`k = (2.303 )/( t) log "" (a)/( (a-x))`
`t_(1//2) = (2. 303)/( k) log"" (9)/( (a- (9)/(2))`
`= (2. 303)/( k) log 2`
`("In 2")/(k)`
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