A medical researcher wants to determine the concentration C (in moles per liter) of a tracer drug injected into a moving fluid with flow R (in liters per minute) .Solve this problem by considering a single-compartment dilution model (see figure) .Assume that the fluid is continuously mixed and that the volume V (in liters) of fluid in the compartment is constant.
If the tracer is injected instantaneously at time ,then the concentration of the fluid in the compartment begins diluting according to the differential equation
,
when
(a) Solve this differential equation to find the concentration as a function of time.
(b) Find the limit of C as
A) a.
b) 1
B) a.
b) 0
C) a.
b) 2
D) a.
b) 0
E) a.
b) 1
Correct Answer:
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