The decomposition of a certain insecticide in water at 12oC follows first-order kinetics  with a rate constant of 1.45 yr-1 . A quantity of this insecticide is washed into a lake on  June 1, leading to a concentration of 5.0 x 10-7 g/cm3. Assume that the average  temperature of the lake is 12oC.  (a) What is the concentration of the insecticide on June 1 of the following year? (b) How long will it take for the insecticide concentration to decrease to 3.0 x 10-7 g/cm3?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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 The decomposition of a certain insecticide in water at 12oC follows first-order kinetics
 with a rate constant of 1.45 yr-1
. A quantity of this insecticide is washed into a lake on
 June 1, leading to a concentration of 5.0 x 10-7 g/cm3. Assume that the average
 temperature of the lake is 12oC.
 (a) What is the concentration of the insecticide on June 1 of the following year?

(b) How long will it take for the insecticide concentration to decrease to 3.0 x 10-7 g/cm3?

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