1. In the tank illustrated below, there are two inlets and one outlet, with volumetric flowrates F1, F2, and F3. Flowrate F2 is twice that of F₁. The total tank volume is V (tank dimensions = L×W×H), and the initial liquid volume in the tank is Vi. The density in the inlet streams is pi and p2, and the density of the outlet stream is p3. The density of inlet stream 2 (p2) is twice the value of inlet stream 1. What is the correct expression for the derivative of the height of fluid in the tank (h) as a function of time (i.e., dh/dt)? You can assume that the tank is well-mixed, the temperature is constant, and the outlet density (p3) is equal to (1/3)(p1 + 2p2). F2, P2 F1, P1 F3, P3 dh a) dt - = (²) [F₁ + 4 F₂ − 3 F3] LW dh b) = [F1 + 4F2 - F3] f) dt dt c) dh = dt 3F1-F3 LW d) None of the above =() [F₁ + 0.50F₂ = 0.75F3] LW - = (LW)[1.33F₁ + 0.67F2 - F3] g) = (LW)[F₁ +0.50F2 - 0.75F3] dt