In Exercises 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 single-compartment dilution model (see figure). Assume that the fluid is continuously mixed and that the volume of the fluid in the compartment is constant.

Use the solution of the differential equation in Exercise 10 to find the concentration C as a function of time t, and use a graphing utility to graph the function.

(a) V = 2 liters, R = 0.5 liter per minute, and 

(b) V = 2 liters, R = 1.5 liters per minute, and C₀ = 0.6 mole per liter

Data from in Exercises 10

If the tracer is injected instantaneously at time t = 0, then the of concentration of the fluid in the compartment begins diluting according to the differential equation

where C = C₀ when t = 0. 

Transcribed Image Text:

Tracer injected Flow R (pure) Volume V Flow R (concentration C)