Suppose a liquid drop contains a supersaturated solution of some species. The liquid concentration of the solute is CA,sat.. The solute species is volatile, and it has a vapor pressure pA,sat.. Vapor/liquid equilibrium data follow the Henry law, pA,sat=HCA,sat.. (Hint: the solution is very dilute) The saturated drop is surrounded by a large body of stagnant gas (no convective flow). (a) Write down all assumptions and set up the differential equation describing the concentration of solute vapor in the surrounding gas as a function of r, the distance from the center of the sphere. The diffusivity DAB of the solute is considered constant. (b) Integrate the differential equation and use these boundary conditions to determine integration constants: at r=R,CA=CR=PA,sat/RT; and at r=,CA=0. (c) Show Sh=(2kR)/DAB =2, where R is the sphere radius and k is the surface mass transfer coefficient