The relationship between rate constant and half life period of zero order reaction is given by _______.

Options

A. `t_(1/2) = [A]_(0)2k`
B. `t_(1/2) = 0.693/k`
C. `t_(1/2) = ([A]_(0))/(2k)`
D. `t_(1/2) = (2[A]_(0))/k`

Answer

C

Explanation

For zero order, integrated rate equation is
`k=1/t {[A]_(0) - [A]_(t)}`……….(i)
But when `t=1/(t_(1/2)), [A]_(t) = [A]_(0)/2`
From (i),
`k1/(t_(1/2)) {[A]_(0) - ([A]_(0))/2}`
`therefore k =([A]_(0))/(2t_(1/2)) therefore t_(1/2) = [A]_(0)/(2k)`