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Worked Examples · Example 4.2

Q.A cyclic process ABCA is shown in a V-T diagram. It is performed with a constant mass of ideal gas. How will this transform to a p-V diagram?

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Straight line A→B on V-T means V ∝ T, i.e. p = constant (isobar); B→C at constant V (isochore); C→A at constant T (isotherm).

Take each leg of the V-T cycle in turn and use pV = nRT (constant mass):

  • A→B is a straight line through the origin, so V ∝ T, which means the pressure p is constant — an isobaric process (a horizontal line on the p-V diagram, volume increasing).
  • B→C has constant volume with temperature decreasing, so p decreases at constant V — an isochoric process (a vertical line down on the p-V diagram).
  • C→A is at constant temperature, so pV = constant — an isothermal process (a hyperbolic curve on the p-V diagram). …

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