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


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`A" "+ " "OH^(-)" "rarr` Products
`t=0 " " 0.002 " "0.3`
`k=(2.303)/(30xx(0.002-03))log_(10).(0.3[0.002-(0.002xx1)/(100)])/(0.002[0.3-(0.002xx1)/(100)])`
`k=1.12xx10^(-3)"litre" "mol"^(-1)s^(-1)`