Problem 10 (Drinking a beer with mass action, 20pts ). A crude model for the time course of a drug in the body consists of a two-step process in which the drug is absorbed from the stomach into the body, and then processed from the body and eliminated. drug in stomach kthm drug in body kelim (degraded) drug in urine. (3) a) Imagine a human with an empty stomach suddenly drinks a mass mbeer of beer that is a fraction f alcohol by weight. Solve for the mass of alcohol in the human's body (exclusive of the stomach and bladder) over time. Hint: It may be useful to know that the solution to the initial value problem dtdx=e1kx;x(0)=0 is x(t)=1kektet. b) Make a sketch of the mass of alcohol in the body over time. Be sure to label the time where the mass of alcohol in the body is maximal. The expression for the maximal mass is messy, and you do not need to annotate your plot with the value of the maximal mass, only the time where it occurs