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Explain how the area enclosed by a p-V diagram relates to the net work output of a thermodynamic cycle.

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exam_style

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Topic

Thermodynamics and engines

Exam-style question

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Explain how the area enclosed by a p-V diagram relates to the net work output of a thermodynamic cycle.

Model answer

What a good answer should say

  • The area enclosed by a p-V diagram represents the net work done by the system during one complete cycle.
  • This is because work is defined as the integral of pressure with respect to volume, and the area under the curve on the p-V diagram corresponds to this integral.
  • Therefore, the larger the area, the greater the net work output.

Explanation

Why this works

This answer is strong because it clearly connects the graphical representation of the thermodynamic cycle to the physical concept of work output. It tests the understanding of how graphical areas can represent physical quantities in thermodynamics.

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