Thermodynamics - Internal energy of state

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Discussion Overview

The discussion revolves around the internal energy of a mixture of ice and water resulting from heating ice at -15 degrees Celsius. Participants explore the concepts of internal energy, phase transitions, and the application of the first law of thermodynamics in this context.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant describes a scenario where heat energy supplied to ice at -15 degrees Celsius was insufficient to completely melt it, resulting in a mixture of 60% water and 40% ice.
  • Another participant suggests that homework-like questions should be directed to the homework section and explains that energy can cause temperature increases until a phase transition occurs, after which energy is used for the phase change.
  • A third participant references the first law of thermodynamics, questioning whether work is done in the process and how the change in internal energy relates to total heat flow.
  • One participant expresses gratitude for the previous contributions and reiterates the relationship between heat flow and internal energy while seeking further clarification on describing internal energy.
  • Another participant proposes that the question requires describing and quantifying the change in internal energy, noting that for ice, the increase is in molecular kinetic energy, while for liquid water, it includes both kinetic and potential energy due to broken bonds.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to describe the internal energy of the mixture, and there are varying interpretations of the question and the application of thermodynamic principles.

Contextual Notes

There are limitations in the discussion regarding assumptions about the system's conditions, such as the constancy of volume and pressure, and the specifics of how internal energy is quantified in this context.

Who May Find This Useful

Students and individuals interested in thermodynamics, particularly those dealing with phase transitions and internal energy concepts in a homework or academic setting.

Jadaav
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I had a question :

Heat energy was supplied to melt ice at -15 degree Celsius. But it was not enough to turn the ice completely into water at 0 degrees.

From my calculation I obtained that a mixture of 60% water and 40% ice was produced as a result of heating.

Finally it said to describe the internal energy of that mixture. I couldn't managed to do that part. So I was wandering what was the answer to it.

Also what determines its internal energy ?
 
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homework-like questions should be asked in the homework section :)

Energy does work in two different way on substances. Consider a fixed pressure environment where you add energy by heating only. First it heats them up... but then if they reach a transition point, they will stop increasing their temperature and they will use the energy to change phase (if it's sufficient energy for a phase transition) while staying at the same temperature.

You should be able to use that information to answer the question.
 
Apply the first law of thermodynamics Q = ΔU + W. Does the process result in any work being done? (assume that there is no change in volume). So how does the change in internal energy, ΔU, relate to the total heat flow, Q?

AM
 
Thanks to both of you. :)

Keeping volume and pressure constant, Q = ΔU.

But what's there to describe about the internal energy ?
 
Jadaav said:
Thanks to both of you. :)

Keeping volume and pressure constant, Q = ΔU.

But what's there to describe about the internal energy ?

I think the question asks you to describe and quantify the change in internal energy. For the ice the increase in internal energy is in the form of an increase in molecular kinetic energy only. For the liquid water, there has been an increase in molecular kinetic energy and in potential energy (bonds broken).

AM
 
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