1. The tank shown below, with cross sectional area A(ft2), is feeding material (with density in lbm/ft3 ) to Process 1 and Process 2. Note that Stream 2 does not contain A component. where w[=]10m/mm CA[=]lbmA/ft3R[F]min/ft2h[=]ftw1andRareconstantsRq3=h (a) Determine the dynamic model for the above process using the variables given. (Hint: R is related tof(t))!) (15\%) (b) A critical condition for safe operation is not to have overflow from materials feeding Process 1. Based on this objective, what action do you recommend for the control valve for the process above and why? (5\%) (c) As an engineer, you recommended that level for the above tank be controlled by an automatic feedback loop. As usual you got the assignment to install the system. You purchased the following equipment. Level transmitter: 5 to 25ft input and 4 to 20mA output Controller: PI controller Standard I/P transducer Control valve: the gain is Kv, and for a step change in pressure, the valve takes 10sec to move to its new position Draw the complete block diagram for this feedback controlled system. Be sure to specify all transfer functions and all the variables (with units) entering and leaving the blocks. (25%) (d) What controller action should you specify for the process above and why? (5\%)