A solid sphere composed of pure A with a radius R is placed in a large body of unstirred water as shown below. Compound A is sparingly soluble in water (Ca < < Cwater) and the maximum solubility of A is cA*. "Quasi-steady-state" conditions can be assumed.: a. Perform a shell balance on the water outside the sphere and, applying the appropriate boundary conditions, determine an expression for dimensionless concentration profile (ca/cA*) as a function of dimensionless position (r / R). b. Determine an expression for the molar flux of A (NAar) at the surface of the sphere (r/ R= 1) and at r/R= 10. c. Generate a plot of the dimensionless position (r / R) versus dimensionless concentration profile (CA/ CA) for values of Ca/ CA* from 1 to 0.05 and determine the value for r/R when CA / CA* = 0.5. Solid sphere of pure A R as r> CA-> 0 mol A/L