Liquid initially at 20C is pumped into a mixing tank at a
Chapter , Problem 7.45(choose chapter or problem)
Liquid initially at \(20^{\circ} \mathrm{C}\) is pumped into a mixing tank at a constant volume flow rate of \(0.5 \mathrm{~m}^{3} / \mathrm{s}\). See Figure 7.6.1. At time t = 0 the temperature of the incoming liquid suddenly is changed to \(80^{\circ} \mathrm{C}\). The tank walls are perfectly insulated. The tank volume is \(12 \mathrm{~m}^{3}\), 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 \(c_{p}\) and \(\rho\). Given that \(T(0)=20^{\circ} \mathrm{C}\), develop and solve a dynamic model for the temperature T as a function of time.
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