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Qusetion: For each of the systems in Figure, demonstrate through a fundamental model whether the system inventory is self-regulating or not for changes in flow in. In all cases, the flow in (F_in) can change independent of the inventory in the vessel.

(a) A heat exchanger in which the pure-component liquid entering at its boiling point in the vessel boils and the duty is proportional to the heat transfer area.

(b) A liquid-filled tank with a constant flow out.

(c) A gas-filled system with a moving roof and a constant mass on the roof. The gas exits through a partially open restriction.

(d) A gas-filled system with constant volume. The gas exits through a partially open restriction

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