In Exercises 1113, a medical researcher wants to determine the concentration C (in moles

Chapter 6, Problem 13

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In Exercises 1113, a medical researcher wants to determine the concentration C (in moles per liter) of a tracer drug injected into a moving fluid. Solve this problem by considering a singlecompartment dilution model (see figure). Assume that the fluid is continuously mixed and that the volume of the fluid in the compartment is constant. In Exercises 11 and 12, it was assumed that there was a single initial injection of the tracer drug into the compartment. Now consider the case in which the tracer is continuously injected beginning at at the rate of moles per minute. Considering to be negligible compared with use the differential equation when (a) Solve this differential equation to find the concentration as a function of time (b) Find the limit of as 21y