5.8 A liquid storage system is shown below. The normal operating conditions are q1=10ft3/min,q2=5 ft3/min,h=4ft. The tank is 6ft in diameter, and the density of each stream is 60lb/ft3. Suppose that a pulse change in q1 occurs as shown in Fig. ES.8. (a) What is the transfer function relating H to Q i? (b) Derive an expression for h(t) for this input change. (c) What is the new steady-state value of liquid level (d) Repeat (b) and (c) for the doublet pulse input of Exercise 5.1 where the changes in q1 are from 10 to 15 to 5 to 10ft3/min