Liquid initially at 20oC is pumped into a mixing tank at a constant volume flow rate of 0.5 m3/s. See Figure 7.6.1. At time t = 0 the temperature of the incoming liquid suddenly is changed to 80oC. The tank walls are perfectly insulated. The tank volume is 12 m3, and the liquid within is well-mixed so that its temperature is uniform throughout, and denoted by T. The liquid's specific heat and mass density are cp and (. Given that 7(0) = 20°C, develop and solve a dynamic model for the temperature T as a function of time.