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Question: The system of vessels in Figure has gas flowing through it, and F0 is independent of Pi.

(a) Assume that the flow through the restrictions is subsonic.

(1) Derive linearized models for the pressure in each system.

(2) Determine the transfer function for F2(s)/Fo(s).

(3) Describe the response of this system to a step in Fo.

(b) Repeat the analysis in part (a) for sonic flow through the restrictions.

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