Ouestion $41$ Crotal $5074$

An external flow of water was applied on top of the planar surface of a nibrous solid membrane $($made of polymer with finite thickness$).$ You are told that moxiflocacin $($an antibiotics which is water soluble$)$ was initially encapsulated within the matrix of polymer solid membrane as mentioned above. You are told that the flux of moxifloxacin from the polymer membrane surface was determined as $2\mathrm{.}4{10}^3$ mole$/(m^2(s))$ under water flow whith constant velocity profile. The partition coeflieient $$ Afs was given as $0\mathrm{.}35.$ Also, the concentration of moxifloxacin in the water far away from the surface of polymer solid membrane was known to be $0\mathrm{.}6$mol$\frac{e}{L}.$ The mass transfer coefficients values were known too as follows: $k_{as}=3\mathrm{.}5\frac{}{b}ar({10}^{-9}\frac{m}{s}$;$k_{AN})=9\mathrm{.}7{10}^{-9}\frac{m}{s}.$

Please determine the concentration of moxifloxacin inside the polymer solid membrane $($at the region just next to the water layer$).$ Some basic conversion factors can be found in the tables in the Appendix.

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