The decay rate of a certain chemical is 9 4% per year. What is its half-life? Use the exponential decay model P(t) = P_0e^-kt where kt is the decay rate, and P_o is the original amount of chemical. The half-life of the chemical is years. (Round to the nearest integer) Solution k = 9.4% = 0.094 P(t) = Poe^(-kt) 0.5Po = Poe^(-0.094t) 0.5 = e^(-0.094t) take natural log on both sides: ln0.5 = -0.094t t = 7.37 = 7 years is the half life.