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As it is seen in Figure 1 given below, there are two equal-capacity (V) tanks, each of which are able to hold 100 L of liquid at maximum. Tank 1 1 Tank 2 Figure 1: Tank 1 and Tank 2 Initially, Tank 1 is completely empty while Tank 2 is completely full with fresh water. Suddenly, at t=0, a brine stream with salt concentration of 1 g/L and with a constant volumetric flow rate of 10 L/min is started to be fed into Tank 1 as shown in Figure 2 below. The time that is required for Tank 1 to reach its maximum capacity (100 L) ist full Tank 1 Ci(t) Tank 2 Cz(t) ost s tfull Figure 2. Brine stream starts as an inlet to Tank 1 After Tank 1 is completely full; the outlet of Tank 1 is started to be transferred into Tank 2 with the same constant volumetric flow rate of 10 L/min as illustrated in Figure 3 as shown below: t>tfull Tank 1 C(t) Tank 2 Cz(t) Figure 3. The outlet of Tank 1 starts to be transferred into Tank 2 for t>tfull There are no density changes in this system. You are asked to find out the concentration variation in tanks, C1(t) and Cz(t), respectively. a) First, consider the time range until Tank 1 is full shown in Figure 2 (0 St Stfull). Perform a total mass balance on Tank 1 to find the variation of volume of the contents of Tank 1 Vi(t). Carry out a component (salt) balance on Tank 1 to find out the concentration profile Ci(t). Do not forget to mention your initial conditions along with ODE models. State your assumptions. b) Second, consider the time range after Tank 1 is full as shown in Figure 3 (for t>tfull). Note that you have inlet and exit streams now. Perform a component balance on Tank 1 to find out C1(t) for t>tful. c) Lastly, perform a component balance on Tank 2 for t > trull to find out the variation of salt concentration Cz(t) in Tank 2. Form an ODE model, state your initial condition and solve it. d) What is the value of Ci(t) and Cz(t) at t=15 min? e) What are the steady state outlet concentration values of Tank 1 and Tank 2