3. (3 points) A process tank has two input streams - Stream 1 at mass flowrate w1 and Stream 2 at mass flowrate w2. The tank's effluent stream, w, discharges through a fixed valve to atmospheric pressure. The flowrate of the effluent stream is equal to Bh(t) kg/s, where h is the level of fluid in the tank and B is a constant. The cross sectional area of the tank is 8m2 and the mass density of all the streams is 980kg/m3. a. Write a dynamic model for the level of fluid in the tank in deviation variables. b. At initial steady-state conditions with w1=2.0kg/s and w2=1.2kg/s, the tank level is 2.5m. What is the value of the constant, B? What are the values of w1,w1,w2, and w2 at the initial conditions? c. From the initial steady state conditions, the flowrate of w2 is abruptly shut off. What are the values of w1,w1,w2, and w2 after the shut off? d. The low level alarm will be triggered in the tank when the level reaches 0.2m. What equation would you use to determine how long it takes for the alarm to trigger after the shutoff? (Equation only is sufficient. No solution required)