Exercise series II
Exercise 01
Two compartments A and B are separated by a membrane permeable to glucose molecules with a dx= 0.1 mm. Compartments A and B contain glucose solutions at concentrations of 36 g/l and 18 g/l, respectively. It is supposed that glucose molecules are spherical with a radius r=3 Å. The viscosity coefficient of glucose is η=10-3 poiseuille, and its molar mass is 180 g/mol.
1. Calculate the initial mass and molar flux of glucose diffusion at 25 and 0 °C.
1. Calculation of mass flow
A diffusion is from C_pt^A to C_pt^B therefore
For (T=0 ℃):
For (T=25 ℃):
3. Calculation of molar flow
For (T=0℃)
For (T=25℃)
Exercise 02
Consider two compartments (I and II) of equal volume separated by a membrane permeable to hemoglobin molecules with a surface area S=5 cm2 and a dx=3 cm. Compartment I contains a hemoglobin solution with a concentration of 2×10-4 mol/l, while compartment II contains pure water. After 5 minutes of diffusion, the concentration of hemoglobin in compartment I becomes 1.2×10-4 mol/L. the diffusion coefficient of hemoglobin as D=6.9×10-7 cm2/s and its molar mass as M= 68×103 g/mol.
1. Calculate the mass of hemoglobin that has moved to compartment II in mg.
Calculation of mass flow
Exercise 03
A container is divided into two compartments A and B by a membrane permeable to glucose molecules. The thickness of the membrane is dx=0.5 mm. Compartment A contains 1 l of an aqueous solution of glucose at 1 mol/L, and compartment B contains 1 l of pure water.
If it is considered that after one minute the mass of glucose that has moved to compartment B is m= 0.2 g, calculate the glucose flux at that moment. dx=0.5 mm, Dglucose=8.58×10-6 cm2/s.
calculate the glucose flux