Problem 2. (30 points) Mass Transfer Heat Transfer K-C/c = 1.0 K = c/c 1.0 A solid spherical particle with a diameter of 0.5 mm is suspended in a liquid solvent. Solute A is being absorbed from the solvent into the solid particle. Initially the particle has concentration CA = 0 kgmol/m. The bulk liquid concentration of A is 54.1 kgmol/m?. The diffusivity of A in the solid particle is DAB = 1.56 x 10-11 m/s and the partition coefficient is K = 0.32. T-T Y T-T T-T T. -T 1 x C- -Co C-Co C-CO DAB x7 X 2VDAB DAB CIK-C C/K Co C-Co C/K-C0 DABE 2yat X 2VDAB DAB Kka hx kex Ke NDARI KkDADE a) Assuming that mass transfer in the liquid phase is negligible (i.e. the liquid is well-mixed), determine the concentration of h Val A at the center of the particle and 0.1 mm from the particle surface after 60 s. (15 points) k DAB DAS X X1 X X b) The concentration at the center of the particle is measured to be 162.3 kgmol/m after 6.1 hours. What is the actual value of ke? (15 points)