DON'T USE THE SOLUTIONS MANUAL. I Want to see STEP BY STEP WITH EXPLANATIONS!!!!!

18B.14. Effectiveness factors for thin disks (Fig. 18B.14). Consider porous catalyst particles in the shape of thin disks, such that the surface area of the edge of the disk is small in comparison with that of the two circular faces. Apply the method of $18.7 to show that the steady-state concentration profile is CA coshVka/DAZ (18B.14-1) CAS coshVka/DAB where z and b are described in the figure. Show that the total mass transfer rate at the surfaces z = +b is Wal = 27TR?CAD Ad tanh ab (18B.14-2) in which = Vk1a/DA. Show that, if the disk is sliced parallel to the xy-plane into n slices, the total mass transfer rate becomes WA| = 2TRCA, AAn tanh(Ab) (18B.14-3) Obtain the expression for the effectiveness factor by taking the limit wal tanhab (18B.14-4) WI h - na = lim 1100