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The line 3-4 in the given T-s diagram of Bell-Coleman cycle represents

Temperature-entropy diagram of a Bell-Coleman cycle with states 1 to 4, two constant-pressure curves between 4 and 1 and between 2 and 3, and vertical lines 1-2 and 3-4

  • A.Isentropic expansion process
  • B.Isentropic compression process
  • C.Constant pressure cooling process
  • D.Constant pressure heat absorption process

Answer: A

The line 3-4 of the Bell-Coleman cycle on the T-s diagram represents isentropic expansion. The line is vertical in the diagram, so the entropy is constant, and the temperature falls from \(T_3\) to \(T_4\), which means the air expands in the expander. The line 1-2 is isentropic compression, the line 2-3 is cooling at constant pressure, and the line 4-1 is heat absorption at constant pressure, which are the other three options.

This is why the air leaves the expander colder than the space being cooled, and that temperature fall is what produces the refrigeration effect.

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