How Does Entropy Change When Vaporizing Water at Different Pressures?

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SUMMARY

The change in entropy for vaporizing 250 g of liquid water at its boiling point under 8 atm pressure is calculated using the latent heat of transformation divided by the temperature in Kelvin. The entropy change at 8 atm is lower than at 1 atm due to the higher pressure, which requires more energy to vaporize the water. This results in a smaller increase in entropy compared to vaporization at 1 atm, where the process occurs more freely, leading to a greater entropy change.

PREREQUISITES
  • Understanding of thermodynamics, specifically the concepts of entropy and phase changes.
  • Familiarity with the latent heat of transformation and its calculation.
  • Knowledge of the ideal gas law and its implications on pressure and temperature.
  • Basic proficiency in using Kelvin for temperature measurements in thermodynamic equations.
NEXT STEPS
  • Study the relationship between pressure and boiling point in water using phase diagrams.
  • Learn about the Clausius-Clapeyron equation to understand phase transitions under varying pressures.
  • Explore the concept of Gibbs free energy and its relation to entropy changes during phase transitions.
  • Investigate the effects of temperature and pressure on the properties of gases, particularly in relation to entropy.
USEFUL FOR

Students in thermodynamics, physicists, and chemists interested in phase changes and entropy calculations in various pressure conditions.

senan
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Homework Statement



Find the change in the entropy of 250 g of liquid water at its boiling point when it is
vaporised at a pressure of 8 atm. Give a brief physical explanation for how this entropy
change compares with the entropy change for vaporisation at 1 atm pressure

Homework Equations





The Attempt at a Solution



I was just thinking of dividing the latent heat of transformation by the temp in kelvin. But I don't know what the pyhsical explanation
 
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How does the entropy of liquid water compare at 1 vs. 8 atm? How about a gas? Which do you think would be the bigger difference and why?
 

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