A study of chemical kinetics of the reaction `A + B to` products, gave the following data at `25^@C`:

Find : (1) The order of reaction with respect to A. (2) The order of reaction with respect to B. (3) The rate law.

Explanation

(1) `r_2/r_1 =(c_2/c_1)^n`
`(8*40 xx 10^(-6))/(4*20 xx10^(-6) = (2/1 )^n`
`2 = (2)^n`
`n = 1`
Order of reaction w.r.t. A is 1.
(2) `r_2/r_1 =(c_2/c_1)^n`
`(0*20)/(0*15)=((5*60 xx 10^(-6))/(4*20 xx 10^(-6)))^n`
`"log" r_2/r_1 =n "log"c_2/c_1`
`"log"(0*20)/(0*15) =n "log"((5*60 xx 10^(-6))/( 4*20 xx 10^(-6)))`
`log(0*20 - 0*15)=n(5*60xx10^(-6)-4*20xx10^(-6)`
`0*125=nxx0*125`
`n = 1`
Order of `r xx W.r.t.` B is 1
(3) Rate law `k =[A]^1 [B]^1`