Half life of a first order reaction and a zero order reaction are same. Then the ratio of the initial rate of the first order reaction to that of zero order reaction is

Options

A. `1//0.693`
B. `2xx0.693`
C. `2//0.693`
D. `6.93`

Answer

B

Explanation

`r_(0)=k_(0)[A]^(0)=(r_(1))/(r_(0))=(k_(1))/(k_(0))`
`r_(1)=k_(1)[A]^(1)`
For zero order `(t_(1//2))_(0)=([A])/(2k_(0))`
For `1^(st)` order `(t_(1//2))_(1)=(0.693)/(k_(1))`
`rArr(t_(1//2))_(0)(t_(1//2))_(1)`
`([A]_(0))/(2k_(0))=(0.693)/(k_(1))`
`(k_(1))/(k_(0))=(2(0.693))/(A)_(0)=(1.386)/(1)`