For a reaction `A rarr` Products, the concentration of reactant are `C_(0), aC_(0), a^(2)C_(0), a^(3)C_(0)`……after time interval `0, t, 2t`…..where `'a'` is constant. Then :

Options

A. reaction is of 1st order and `k = (1//1)` In a
B. reaction is of 2nd order and `K = (1//tC_(0))(1 - a)//a`
C. reaction is of 1st order and `K = (1)/(t)ln((1)/(a))`
D. reaction is of zero order and `K = (1)/(t)ln((1)/(a))`

Answer

C

Explanation

`K_(1) = (1)/(t) ln ((C_(o))/(aC_(o))) = (1)/(t)ln((1)/(a))`
`K_(2) = (1)/(2t)((C_(o))/(a^(2)C_(o))) = (1)/(t) ln ((1)/(a))`