Find the transfer functions P1(s) / Pa) and P2(s) / Pa(s) for the compressor-surge tank system of

Question:

Find the transfer functions P’1(s) / P’a) and P’2(s) / P’a(s) for the compressor-surge tank system of Exercise 2.5 when it is operated isothermally. Put the results in standard (gain/time constant) form. For the second- order model, determine whether the system is over damped or underdamped.