Assignment:
Two tanks A and B, each of volume V, are filled with water at time t=0. For t > 0, volume v of solution containing mass m of solute flows into tank A per second; mixture flows from tank A to tank B at the same rate and mixture flows away from tank B at the same rate. The differential equations used to model this system are given by:
Where S stands for sigma (concentration of solute) in tank A or B.
Show that the mass of solute in tank B is given by:
Provide complete and step by step solution for the question and show calculations and use formulas.