Thermodynamics/Phase Equilibrium

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SUMMARY

The discussion focuses on calculating the density of ice using thermodynamic principles, specifically the phase equilibrium between liquid water and solid ice. The triple point of water is established at 0.006 atm and 0.0075ºC, with the latent heat of fusion given as 6000 J/mol. The user applies the Clapeyron equation, dP/dT = ΔH/(TΔV), to derive the necessary changes in volume and pressure to determine the density of ice from the known volume of liquid water, which is 0.01802 L for 1 mol.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically phase equilibrium.
  • Familiarity with the Clapeyron equation and its application.
  • Knowledge of latent heat concepts and calculations.
  • Basic skills in manipulating equations involving pressure, temperature, and volume.
NEXT STEPS
  • Study the Clapeyron equation in detail to understand its derivation and applications.
  • Research the properties of water and ice, focusing on their density variations under different conditions.
  • Explore the concept of latent heat and its role in phase transitions.
  • Learn about the triple point and its significance in thermodynamics.
USEFUL FOR

This discussion is beneficial for students and professionals in physics, chemistry, and engineering, particularly those focusing on thermodynamics and material properties. It is also useful for researchers studying phase transitions in substances.

Brandon.8
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Given Data:

triple point of water (.006 atm, .0075ºC).
density of water = 1 g/cm^3
latent heat of fusion = 6000 J/mol (at normal melting temperature)

Problem:

Calculate the density of ice?

I assumed there is 1 mol of water, thus the volume is .01802 L.

To calculate the density of ice I need to find the accompanying change in volume from liquid to solid. From my textbook, the only equation which relates liquid - sold phase equilibrium as a variation of temp and pressure is:

Pressure = deltaH/deltaV*ln(T) + constant

This seems useful but I am still not sure if it's the right equation.
 
Last edited:
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Nevermind the equilibrium line separating phases is linear so I solved dP/dT = deltaH/(T)(delta V) (clapeyron). and then solved for density.
 

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