Number 23 for Chapter 8.1

23. Drug Absorption A drug has first order elimination kinetics, meaning that a fixed fraction of drug is eliminated from the body in each unit of time. So if no further drug is absorbed into the pa- tient's blood after time / = 0, the amount of drug in their blood will decay with time according to: dM =-KIM where k1 > 0 is the fraction of drug eliminated in one unit of time. (a) Assuming M(0) = Mo, solve the differential equation. (b) According to your model, does M() ever reach 0? (c) Given that Mo = 10 and k1 = 2, calculate the time at which M(1) drops to M = 1