An artificial blood is being used as a source of oxygen for cells that are growing on the shell side in a hollow fiber bioreactor. This artificial blood has a linear oxygen dissociation relationship...

An artificial blood is being used as a source of oxygen for cells that are growing on the shell side in a hollow fiber bioreactor. This artificial blood has a linear oxygen dissociation relationship that is given by Y = (0.01 mmHg−1) pO2, where the pO2 is in mmHg and Y, i.e., Coxygen S /C AT ¢ ¢ , is the fraction of the oxygen carrier molecules that are saturated. When the carrier molecules are saturated, i.e., Y = 1, the associated oxygen concentration, i.e., CSAT ¢ , is equal to 9000 μM. Henry’s constant for the artificial blood is 0.78 mmHg μM−1. The design assumes that blood enters the device at a flow rate of 30 mL min−1 with a pO2 = 90 mmHg and flows within the hollow fibers. If the cells in the device consume oxygen at the rate of 20 μM s−1 and there are 100 mL of cells, what is the pO2 of the artificial blood leaving the bioreactor?