2.2 A completely enclosed stirred-tank heating process is used to heat an incoming stream whose flow rate varies. The heating rate from this coil and the volume are both constant. (a) Develop a mathematical model (differential and algebraic equations) that describes the exit temperature if heat losses to T, 10 Heating col Q eeeee H T T Figure E2.2 the ambient occur and if the ambient temperature (7) and the incoming stream's temperature (T,) both can vary. (b) Discuss qualitatively what you expect to happen as 7, and w increase (or decrease). Justify by reference to your model.