Kinetic energy change during phase change

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SUMMARY

The discussion centers on the relationship between kinetic energy (KE) and temperature during phase changes, specifically boiling and melting. Participants clarify that while temperature remains constant during these transitions, the average KE of molecules in the vapor phase can be higher than in the liquid phase due to the energy required to overcome intermolecular forces. The Maxwell-Boltzmann distribution applies to gas molecules, and the average KE distribution in both phases can be illustrated, emphasizing that the KE can be numerically similar yet qualitatively different. Understanding this distinction is crucial for grasping the thermodynamic behavior of substances during phase changes.

PREREQUISITES
  • Understanding of kinetic energy and its relation to temperature
  • Familiarity with phase changes, specifically boiling and melting
  • Knowledge of the Maxwell-Boltzmann distribution
  • Basic thermodynamics concepts, including potential and kinetic energy
NEXT STEPS
  • Research the Maxwell-Boltzmann distribution in detail, focusing on its application to gases
  • Explore the thermodynamic principles governing phase changes, particularly latent heat
  • Examine the differences in molecular behavior between liquids and gases during phase transitions
  • Investigate graphical representations of kinetic energy distributions in different phases
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Students and professionals in physics, chemistry, and engineering who are studying thermodynamics, phase transitions, and molecular behavior in different states of matter.

rht
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hi all,
its been hours that i could not find a decent answer for a 'simple' Q:

during a phase change (say, boiling) the temp' doesn't change, as we all know.
we also know that the temp' is a measure of the system kinetic energy (KE).

im interested to know how the average KE AND its distribution (follow the Maxwell-Boltzmann dist', right?) looks like, both in the liquid and in the vapor.

how can we explain the fact that once mol' go to the vapor, with higher KE, the temp' stays the same?

do u have a plot of the KE dist' of both phases?

same goes for melting...

tnx,
roy
 
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rht said:
we also know that the temp' is a measure of the system kinetic energy (KE).
Temperature is related to the unordered kinetic energy, but the relation depends on the medium and its degrees of freedom (=> it can change during melting/boiling).

The Maxwell-Boltzmann distribution applies to gases only.
 
tnx, but this doesn't really answer the question...

let me put it in another way - doest the gas molecules have the same avg' KE or higher than the liquid molecules?
 
The molecules in the liquid are held together by attractive forces (potential energy), and when you add heat to cause evaporation, most of the heat goes into overcoming the attractive forces.
 
yes, this i know..
can u illustarte the avg' KE of the vapor during the boiling process (until all liquid was vaporized)?
 
The average kinetic energy should stay similar. This is another way to express what Chestermiller wrote.
 
sorry for the nagging, but i feel this is exactly the gap i have -


im still trying to figure out what is going under boiling and melting - where u introduce heat to the system all the time, so the liquid keep its temp' (100C for water for example).
if the hottest mol' leaves the liquid first, their KE should be higher in the vapor than in the liquid (which holds a lot of slower mol').
in that case, the temp' of the vapor should be higher than in the liquid BUT during boiling, the temp' should be const' ?!? - and this is my hole in understanding.

can u ellaborate how the liquid and the vapor KE distribution will look like during boiling (or melting)?

by the way, u r right about the dist' - in liquid is just the Boltzmann (although, doesn't make much of a difference for this discussion :smile:).

tnx again
 
Understand that KE can be the same numerically but still quite different. Think about something vibrating, and something thrusting forward.
 

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