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Question: A tubular heat exchanger with plug flow in the tube has steam at a constant temperature on the shell side. The system is initially at steady state with no temperature driving force, and the steam is introduced in a step to the shell.

(a) Determine the tube outlet temperature as a function of time. This will require analyzing a distributed-parameter model.

(b) Formulate a lumped-parameter model that would give an approximate result for the tube outlet temperature.

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