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Vc is the specific volume (volume per mole) at the critical point of a substance.

Vr is the "reduced volume" which is equal to the specific volume divided by the critical volume.

Vr = V/Vc

Many thermodynamic models correlate behavior of different substances in terms of their reduced volume. The principle of corresponding states indicates that substances at equal reduced pressures and temperatures have equal reduced volumes. This relationship is approximately true for many substances, but becomes increasingly inaccurate for large values of Pr. (Where Pr = P/Pc and Pc is the pressure at the critical point.)

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Q: What do Vr and Vc represent in the study of thermodynamics?
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