Gas A Cho Gas B CH Volume VA Volume Vs L 6. (24 pts) Derivation of a Classic Model. In lecture, we derived equations for the flux and concentration profiles that occur in many cases. However, we never completed a derivation for the case of equimolar counter diffusion. Recall, this case describes a scenario in which we have a closed system with constant temperature and pressure, where two large tanks are connected by a relatively small tube. The concentrations at each end of the tube therefore remain constant, and the diffusion of one gas into another occurs at the centerpoint of the tube at L/2. a) (3 pts) How are DAB and DBA related? IL b) (3 pts) How are NA and No related? c) (4 pts) Give the simplified form of Fick's law for this case. Hint: this will require the flux relationship from part (b). d) (10 pts) Derive an expression for the steady state concentration profile ca along the tube length. Be sure to state your assumptons, simplification of governing equations, boundary conditions, and expression for CA as a function of position, x. e) (4 pts) Sketch the concentration profile of A and B as a function of position (x) along the length of the tube. Feel free to use the axes below, and please be sure to indicate your boundary conditions. Concentration (CA, CB) Position (x)