Engineering
Physics
Thermodynamics
Question

A thermodynamic cycle xyzx is shown on a V-T diagram.

The P-V diagram that best describes this cycle is: (Diagrams are schematic and not to scale)

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Solution

The V-T diagram shows process x→y at constant volume (V constant, T increases → P increases), y→z at constant temperature (T constant, V decreases → P increases), and z→x at constant pressure (P constant, V decreases → T decreases).

For an ideal gas, P = nRT/V. Process x→y is isochoric: P∝T. y→z is isothermal: P∝1V. z→x is isobaric: V∝T.

The correct P-V diagram must show: constant volume line (vertical) for x→y, hyperbolic curve for y→z (isothermal compression), and straight line through origin for z→x (isobaric).

Final Answer: The second option.