Problem 3. (45+6 pts) A silicone tube (Ri=6.35mm,R0=9.55mm) is used to deliver oxygen to an aqueous medium (large volume, with oxygen concentration of 0.005mol/m3 ). Inside the tube is pure oxygen at 2.0atm. Everything is happening at room temperature, and so are the physical properties given. Physical data: Solubility of dissolved O2 in silicone polymer is PA=CA /S where PA is the partial pressure of O2 gas (atm), CA ' is the concentration of O2 dissolved in silicone rubber (mmol/cm3), and S=3.15molO2/m3atm. Henry's law constant of O2 in water is 0.78 atm. m3 water/gmole. Diffusivity of O2 in silicone is 1.01011m2/s. (A) Derive an expression of the O2 concentration in the silicone. Be sure to: sketch out the situation; state your assumptions. You may neglect the liquid phase mass transfer resistance for parts A through C. (20pts) (B) Calculate the rate of O2 going into the aqueous medium. (7 pts) (C) Sketch the concentration of O2 in the entire system as a function of radial position. Sketch the flux profile as a function of radial position. (8 pts)