One method to estimate the flow rate of blood delivered by the heart (called the "cardiac output") is to continuously inject a dye into the artery (aorta) entering the main circulatory system and measure the dye concentration in the outlet from that circulatory system (right atrium). In one such measurement, the dye is injected at a rate of 20 g/min, and the measured dye content at the outlet is 0.39 wt%. Also, the dye concentration in the blood is essentially 0 before the dye is injected (this procedure obviously must be completed in a short time to avoid interference from the recirculation of blood containing the dye).
a. What is the mass flow rate of blood and dye exiting the circulatory system?
b. What is the mass flow rate of just the blood through the circulatory system (without the dye)?
c. If the density of blood is 1.06 g/cm³, what volumetric flow rate is indicated by the answer to part (b)?