Consider diffusion through a thin membrane that separates two otherwise closed compartments. The membrane and both compartments have cross-sectional areas A=1 cm2. Compartment 1 has length L1=50 cm, compartment 2 has the length L2=10 cm and the membrane thickness is W=10-4 cm. Assume that the compartments have sugar solution in both compartments, and that both compartments are well stirred, so that the concentration in the first compartment can be written as c1(t), concentration in the second compartment can be written as c2(t) and the concentration in the membrane can be written as c(x,t), where x represents distance through the membrane. Dsugar=10-5 cm2/s. c1(0)=1 mol/L, c2(0)=0 mol/L.
a) Compute the flux of sugar through the membrane at t=0.
b) Find the final value of the sugar concentration in the apartment 1, c1(
Consider diffusion through a thin membrane that separates two otherwise closed compartments. The membrane and both compartments have cross-sectional areas A=1 cm2. Compartment 1 has length L1=50 cm, compartment 2 has the length L2=10 cm and the membrane thickness is W=10-4 cm. Assume that the compartments have sugar solution in both compartments, and that both compartments are well stirred, so that the concentration in the first compartment can be written as c1(t), concentration in the second compartment can be written as c2(t) and the concentration in the membrane can be written as c(x,t), where x represents distance through the membrane. Dsugar=10-5 cm2/s. c1(0)=1 mol/L, c2(0)=0 mol/L.
a) Compute the flux of sugar through the membrane at t=0.
b) Find the final value of the sugar concentration in the apartment 1, c1(
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