Chemistry - Change of freezing point

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Discussion Overview

The discussion revolves around the calculation of the freezing point of mercury under specific conditions, particularly focusing on the effects of pressure due to a column of mercury and the associated thermodynamic principles. The scope includes theoretical and mathematical reasoning related to phase transitions and enthalpy changes.

Discussion Character

  • Homework-related, Mathematical reasoning, Technical explanation

Main Points Raised

  • One participant presents a homework problem involving the enthalpy of fusion of mercury and asks for guidance on how to approach the calculation of the freezing point under pressure.
  • Another participant suggests that the relationship between phase transition, pressure, temperature, and volume change is relevant, indicating that a specific equation may be applicable.
  • A third participant proposes the Clausius-Clapeyron relation as a potential method to analyze the situation.
  • A later reply expresses agreement with the suggestion of using the Clausius-Clapeyron relation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a specific method but agree on the relevance of the Clausius-Clapeyron relation for the problem at hand. Multiple approaches are suggested without clear resolution on which is preferable.

Contextual Notes

The discussion does not clarify the assumptions underlying the use of the Clausius-Clapeyron relation or the specific conditions under which it applies. There is also no resolution on the mathematical steps necessary to arrive at the final answer.

Who May Find This Useful

Students or individuals interested in thermodynamics, phase transitions, and the application of mathematical models to physical chemistry problems may find this discussion relevant.

ChemistryJack
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Homework Statement


The enthalpy of fusion of mercury is 2.292kJ/mol and its normal freezing point s 234.3K with a change in molar volume of +0.517cm^3 /mol on melting. At what temperature will the bottom of a column of mercury (density 13.6 g/cm^3) of height 10.0m be expected to freeze.



Homework Equations





The Attempt at a Solution


I'm really not sure how to go about this. I though I could work out the Potential energy, using P = mgh. Then maybe take this off the enthalpy of fusion. I don't want the answer, but some though-provoking advice would be much appreciated. Thanks!
 
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Phase transition, pressure, temperature, volume change and enthalpy - that cries for a specific equation (relation). It is most often used for boiling points, but it works for every transition.
 
Clausius-Clapeyron?
 
That's what I would try.
 

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