What Determines Equilibrium in a Liquid-Vapor System?

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In a liquid-vapor system at equilibrium, the molecules in both phases have equal total energy, which encompasses both potential and kinetic energy. The discussion clarifies that intermolecular forces are stronger in liquids than in gases, ruling out option (A). The confusion lies between potential energy (PE) and total energy (TE), with a focus on how kinetic energy (KE) relates to temperature. It is noted that KE is not the determining factor at equilibrium, as it is proportional to temperature, which varies between phases. Ultimately, the consensus is that total energy is the key factor in determining equilibrium.
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Homework Statement


A liquid is in equilibrium with its vapor at its boiling point. On an average, the molecules in the two phases have equal:
(A) inter-molecular forces
(B) potential energy
(C) total energy
(D) kinetic energy

Homework Equations

The Attempt at a Solution


I know (A) is wrong as intermolecular forces in liquids are much more than those in gases. However, I'm confused between (B) (C) and (D). I know in gases KE is directly proportional to temperature. I'm not really sure about anything beyond this.
 
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Okay --- it's not KE. That leaves PE and TE; do you think TE might be related more to KE than PE? Or, less?
 
Why isn't it KE? Shouldn't KE also be proportional to temperature in liquids?
And I don't know whether TE might be more related to KE or PE.
 
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