6.16 A liquid surge system (p = constant) is designed with a side tank that normally is isolated from the flowing material as shown in Fig. E6.16. h1 901 h2 92 91 Area = A1 R₁ Area = A2 R2 Valve 1 Valve 2 Figure E6.16 -> (a) In normal operation, Valve 1 is closed (R₁→ oo) and q₁ = 0. What is the transfer function relating changes in qo to changes in outflow rate q2 for these conditions? (b) Someone inadvertently leaves Valve 1 partially open (0<R₁<co). What is the differential equation model for this system? (c) What do you know about the form of the transfer func- tion Q₂(s)/(s) for Valve 1 partially open? Discuss but do not derive. (d) Is the response to changes in go faster or slower for Case (b) compared to Case (a)? Explain why but do not derive an expression for the response.