The reaction `A+OH^(-)rarr` Products, obeys rate law expression as :
`(-d[A])/(dt)=k[A][OH^(-\)]`
If initial concentrations of [A] and `[OH^(-)]` are 0.02 M and 0.3 M respectively and if it takes 30 sec for `1%` A to react at `25^(@)C`, caclutate the rate constant for the reaction

Explanation

`A+ OH^(-) rarr" Products"`
`t=0" "0.002" "0.3`
`t=30" "[0.002-(0.002xx1)/(100)]" "[0.3-(0.002xx1)/(100)]`
Using `K=(2.303)/(t(a-b))log_(10)""(b(a-x))/(a(b-x))`
`K=(2.303)/(30xx(0.002-0.3))log_(10) ""(0.3xx[0.002-(0.002xx1)/(100)])/(0.002[0.3-(0.002xx1)/(100)])`
`K=1.12xx10^(-3)" L mol"^(-1)" sec"^(-1)`