Consider the stirred tank equipped with a heating jacket in Figure 1. F; and T; indicate the flowrate and temperature of fluid going into the tank and Fand Tindicate the flowrate and temperature of fluid coming out of the tank. Assume that the process is in steady-state with respect to the fluid level and that the mixer is ideal. Fi and Tj. are the flowrate and temperature of fluid in the heating jacket and F, and T, are the flowrate and temperature of fluid out of the jacket. The heat transfered from the jacket fluid to the tank fluid is calculated as Q = UA(T; -T). A generic formulation of the energy balance is: Fipicpi (Ti-Tref) + Q - Fpcp(T-Tref) (1) d(V pcp(T-Tref)) dt 1. Write the dynamic equations that describe the process in Figure 1. 2. Assume that we can model the heat jacket as an independent source of heat, Q. Does this simplify the dynamic equations from item a)? What do they look like now? Fi, Ti = Fj, Tj F, T Fj,i, Tj.i Fig. 1: Stirred tank with a heating jacket