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

Options

A. `("In 2")/(k)`
B. `(0.693)/(0.5k)`
C. `(log 2)/( k)`
D. `(log 2)/( k sqrt(0.5) )`

Answer

A

Explanation

`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)`