Consider an agricultural capsule aimed at insect control by the release of a specific pheromone (our species A). The amount of the pheromone released is mostly controlled by a polymeric membrane whose thickness is 6 = 4.5 mm and whose diameter is d = 15.2 mm. The diffusion coefficient DA for this pheromone through the polymeric membrane is 0.37 um/s. The release of this pheromone is sustained by its own sublimination in the gaseous chamber of the capsule, whose rate WA is given by this expression: WA 2.4 10 17(1 - 14C) Here, CA is the concentration of the pheromone throughout the gaseous chamber, and specifically at the interface, it is related with the concentration of the pheromone in the polymeric membrane C by this expression: CA = SCA The solubility ratio in this case is S = 5.22 10-3. This is all for the inside of the capsule. For the outside of the capsule, the amount of the pheromone becomes very miniscule. Note that CA is a variable, while C is a constant, and they are both given in units of mol/m (the rate is in units of mol/s). a. Determine the profiles for the concentration and the flux of the pheromone through the polymeric membrane. Apply the boundary conditions, but do not yet plug in any specific numbers for the parameters. b. Plug in the specific numbers provided for this scenario. Importantly, determine the concentration of the pheromone throughout the gaseous chamber, as well as the rate of its sublimination.