GREPhysics.NET: GR9277 #47

GR9277 #47

Problem

GREPhysics.NET Official Solution

\prob{47}

Isotherms and coexistence curves are shown in the pV diagram above for a liquid-gas system. The dashed lines are the boundaries of the labeled regions.

In which region are the liquid and the vapor in equilibrium with each other?

Thermodynamics $\Rightarrow$ }Liquid-Vapor Equilibrium

The liquid-vapor region is where the substance can coexist as both a liquid and vapor. (A gas is just a vapor at normal temperatures.)

In this region, the liquid and vapor are in equilibrium, hence their coexistence. Equilibrium occurs when $P_v=P_l$ and $\mu_v=\mu_l$ , i.e., when the pressure and chemical potential of the liquid and vapor are equal to each other.

Since region B shows a constant pressure behavior, despite the volume-decrease, it is the region of liquid-vapor equilibrium.

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Comments

kroner
2009-09-28 14:15:56

If you have no idea what this question is talking about, region B is the only one with different behavior from the others. The ETS has also conveniently shaded the correct answer for you.

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