Problem set #5CHE 313 (Spring) __________________ LAST NAME, FIRST Problem set #51-8 Copy the program Mass5.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) a) Write your own Matlab program to plot the solute concentrations in the capillary C(z), atthe outside wall of the capillary ¯C|rc+tm, and at the Krogh cylinder radius ¯C(z, rT) using thedata in Table 5-9. Use the Title command to label your name on the graph.Table 5-9 Capillary characteristicsProperties ValueInside diameter (Dc)Length (L)Wall thickness (tm)Average blood velocity (V)Entering glucose concentration (Co)Tissue glucose consumption rate (Ro)Krogh tissue cylinder radius (rT)Glucose tissue diffusivity (DT)Overall mass transfer coefficient (Ko)0.001 cm0.1 cm510-5 cm0.05 cm/sec5 mol/cm30.01mol/cm3sec410-3 cm5.110-6 cm2/sec5.7510-5 cm/secb) Repeat (a) with the glucose tissue diffusivity changed to 5.110-7