Please Solve Part A

3-6. Fast Bimolecular Reaction Suppose that the irreversible reaction A+BC takes place at steady state in a liquid film of thickness L. As shown in Fig. P3-6, species A is supplied at x=0 and B at x=L. The volumetric rate of formation of C is given by RVC=kCACB, where k is the second-order homogeneous rate constant. (a) If the reaction is fast enough, A and B cannot coexist in the liquid. In the limit k, the reaction will occur only at a plane x=xR, which divides the part of the film that contains A (but not B ) from the part that contains B (but not A ). Determine xR,CA(x),CB(x),CC(x), and the reaction rate under these conditions. Are the various concentration gradients continuous or discontinuous at x=xR ? (b) In reality, even for very fast kinetics, the reaction will occur not at a plane, but in a zone of finite thickness . In this region CACA and CBCB. Use order-of-magnitude reasoning to determine these length and concentration scales. Assume that DADB, but consider the possibility that CA0 might differ greatly from CBL. Figure P3-6. Bimolecular reaction in a liquid film. The concentrations shown apply just inside the liquid