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Problem set #4CHE 313 (Spring) __________________ LAST NAME, FIRST Problem set #41-8 Copy the program Mass4.exe from the class distribution folder to your flash or H drive. Youcan also download the program from the website:https://www.csupomona.edu/~tknguyen/che313/homework.htm. Run the program and solve all 8 problems in any order. Solve the problem with the data providedby the program, copy the problem statement to Word. The program will check your answer andprovide an answer code when you click on “Check”. Copy the answer code and paste them afterthe problem statement. Your work should look like this:7) 5Blood is flowing through a hollow fiber based bioartificial organ at a flowrate (Q) of 8cm3/min for each fiber. Surrounding the fibers in the shell space are living cells obtained from apig’s liver. Each fiber has a diameter of 800 microns and a length of 30 cm. At time equal to zero,equal concentrations of a permeable (relative to the fiber wall) test solute and labeled albumin(impermeable) are injected into the blood entering the device. Exiting blood samples arecollected over the next few seconds and analyzed for the concentrations of the test solute (C) andthe reference solute, albumin (Co). (a) At a particular time, the value of C/Co was found to equal0.60. Estimate the permeability (Pm) of the hollow fiber membrane in cm/s. (b) If Pm = 0.018cm/s, determine C/Co.Problem 7: (a) Correct, Code =4313336481(b) Correct, Code =2393636481SolutionThe clearance of a given hollow fiber for the test solute is given byCL = QCo−QCCo = Q(1  C/Co) CL = 8 cm3/min×(1  0.6) = 3.2 cm3/minThe permeability (Pm) of the hollow fiber membrane can be determine from1  oCC = 1  exp(−PmSQ) (a) Pm =  QSlnoCC =  38/60 cm /0.08 cm 30 cmsp � �ln(0.6) = 0.009 cm/s55 Fournier, R. L., “Basic Transport Phenomena in Biomedical Engineering”, Taylor & Francis, 2007, p. 213.(b) oCC = exp(−PmSQ)= exp0.018 0.08 308 / 60p� � �� �-� �� �= 0.3614Box the answer(s)!9) If the oxygen demand M0 in the tissue is a constant, the partial pressure of oxygen (A) in thetissue cylinder is given byp ( r) = p + M ( r - R ) - M R ln ( r / R )A , b 0 c 0 t c2 2 24 K2 KIn this equation, pA,b is the partial pressure of oxygen in the blood, K = DAB,ef/H, where H is theHenry’s law constant with pA = HcA and cA = oxygen concentration in tissue. Rt is radius of thetissue cylinder = 2.6e-3 cm, Rc is the capillary’s radius = 2.5e-4 cm. Given K = 9.4e-10cm2/s*torr, M0 = 0.4/min, and pA,b = 100 torr. Write your own Matlab program to plot p as afunction of r for Rc  r  Rt. Use the Title command to label your name on the


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Cal Poly Pomona CHE 313 - Problem Set #4

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