Q-2: Consider a pressure surge system to reduce the effect of pressure variations at a compressor outlet on the pressure in a compressed gas header. We want to develop a two-tank model and evaluate the form of the resulting transfer function for the two-tank process shown in Figure below. (a) Develop a dynamic model that can be used to solve for the gas flow rate, w3(t), to the header given known pressures at the compressor, Pc(t), and in the header, Ph(t). Determine the degrees of freedom. Available Information: (i) The three valves operate linearly with resistances R1,Rz,R3. e.g., w 1=( Pc- P1)R (ii) The tank volumes (V1 and V2) are constant. (iii) The Ideal Gas Law holds. (iv) The molecular weight of the gas is M. (v) Operation is isothermal. (b) Develop the model (linearize, Laplace transform, etc.) just to the point where you can identify the following characteristics of the transfer function Pc(s)W3(s) (i) Is it interacting or noninteracting? (ii) What is the order of the denominator? (iii) What is the order of the numerator? (iv) Are any integrating elements present? (v) Does the gain equal one? Note: There is no need to derive the actual transfer function. On the other hand, you should justify your answer to each