Many organic compound! that can contaminate drinking water source can be removed

Question

Many organic compound! that can contaminate drinking water source can be removed from water using membrane bioreactors. Assume a membrane 0.2 m^2 in total area, and 0.01 cm in thickness is being used in a transport experiment (D_m = 1E-9 cm/s; K_pmw = 10^3) and that the organic chemical concentrations on either side of the membrane are maintained at 10 and 50 mu g/L. Will the system be a steady-state at t=1 hour? Explain. What is the organic chemical flux (mu g/d) into the membrane at t-1 hour? Clearly state any assumptions you make. What is the organic chemical flux (mu g/cm^7s) through the membrane at t=1 hour? Clearly state any assumptions you make. Assume both chambers were well mixed and calculate the organic chemical flux (mu g/cm^2s) through the membrane at steady-state. Under the following conditions would the flux in d. increase, decrease, stay the same, or cannot tell? Explain. membrane thickness increases. time increases. concentration in the receiving chamber decreases. temperature increases.

Explanation / Answer

a) yes the system will be stable from 1 hr as the misture of two component with two different concentration reaches a point of equimixture state.

b) we know the general diffusion formulae as,

N = D(C1-C2)/z

= 10^-11 (10-50)/0.0001

= - 4 E-6 per sec = -4.629 E-11 per day

c) flux is -4.02 E-6

d) by assuming the chambers are well mixed then both the concentration C1 and C2 becomes equal (25 microgm/L) then the flux calculated is,

flux = 10^-11(25)/0.2 = 1 E-9

e) flux decreases as time increases where the membrane thickness by flakes starts forming which results to decreased flux.

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