a) A chemical agent (A) can be added to blood vessels to dissolve unhealthy fat deposits. These chemical agents are added via a uniform coating on the inside of the tube as shown below. Use the general steady-state shell mass balance on an increment (AZ) of the coated tube to prove that the concentration leaving the tube (Car) is given by the following equation: CAF = CAS (1 el -el-AKCL) Where: Car is the final concentration leaving the tube. Cas is the concentration at the inside surface of the tube. (L) and (D) are the length and the diameter of the tube. (V) is the flow velocity of the chemical agent inside the tube. tube length L, diameter D CA CAF CAO, V z Z+AZ b) A chemical agent similar to that described above was added via a uniform thin 0.01 cm coating on the inside of a tube with an inner diameter of 1 cm. The tube length is 50 cm. The blood solution was pumped through the tube with a velocity of 70 cm/sec. The maximum solubility (Cas)= 20 mg/cm3, the kinematic viscosity (v)=0.02 cm2/sec, and the diffusivity coefficient DAB = 5x10-5 cm2/sec. i. Calculate the original mass of the chemical in grams (mass = C.V). ii. Use the derived equation part (a) to determine the final concentration (CAF) of the chemical agent exiting the tube