The reaction `A overset (k)rarr` Products, is zero order while the reaction `B overset (k) rarr` Products, is 1st order. For what initial concentration of `A` the half-lives of the two reactions are equal.

Options

A. `2 M`
B. `ln 2M`
C. `2 log 2 M`
D. `2 ln 2 M`

Answer

D

Explanation

`{:(A overset(k)rarr "Product",,,,B overset (k)rarr"Product"),("zero order",,,,"First o rder"),(t_(1//2)=(a)/(2K),,,,t_(1//2)=(ln2)/(K)implies(a)/(2K)=(ln2)/(K)),(,,implies,,a=2ln2):}`