A pesticide decomposes following first-order kinetics.
(a) If the half-life of the pesticide is 12 years, what is the rate constant k for the decomposition reaction?
(b) What fraction of the pesticide will be left after 36 years?
(c) What fraction of the pesticide will be left after 100 years?
(d) How many years will it take for 99.9% of the pesticide to decompose?