Please answer the question fully and write legibly

3. Non-steady state molar balances, A volumetric liquid flow of vo (L/min) passes in and out well-stirred tank (R1). At certain moment (t=0) an amount W of solid containing equimolar amounts of A and B is placed into the tank, which is initially filled with pure solvent. The solid starts dissolving A and B into the solvent at a dissolution rate rs = ks W (mol A/min L) or (mol B/min L) - the same for both. Once they are in solution, A and B start reacting to give a product C, according to A+B+C with a rate law rc = kc CA CB (mol C/min L). At this moment, the liquid leaving reactor R1 starts being collected into an initially empty tank (R2). (a) Draw a schematic depiction of the system, indicating all the parameters and variables involved in the problem. (b) Derive an expression for the variation of volume in R2 with t, starting at t=0. c) Derive an expression for the variation of CA Cg and Cc in R2 with t, starting at t=0. (d) Derive an expression for the variation of CA CB and Cc in R1 with t, starting at t=0