Deriving Standard Molar Entropy of Water

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SUMMARY

The Standard Molar Entropy of liquid water is derived using the formula that incorporates the standard molar entropy of gaseous water, the heat of vaporization, and the standard absolute temperature. Various sources report the standard molar entropy of water to be approximately 63.45 J/mol-K to 69.9 J/mol-K. The derivation process involves understanding the equilibrium constant for the formation reaction of water. This method is essential for accurately calculating the thermodynamic properties of water in different states.

PREREQUISITES
  • Understanding of Thermodynamics principles
  • Familiarity with the concept of Standard Molar Entropy
  • Knowledge of heat of vaporization
  • Basic understanding of equilibrium constants in chemical reactions
NEXT STEPS
  • Research the derivation of Standard Molar Entropy for various substances
  • Study the heat of vaporization and its impact on entropy calculations
  • Explore the concept of equilibrium constants in formation reactions
  • Investigate the differences in entropy values across different states of matter
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Physics students, chemistry students, and researchers interested in thermodynamic properties and entropy calculations of substances, particularly water.

dbrittain
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Hello everyone, I am a second year physics student attending university, and I have a question about how the actual Standard Molar Entropy of various molecules are found and derived. I have been looking through various Thermodynamics and Chemistry books as well journals online and have all referenced water, for example, to have a standard entropy of around 70 (some are more specific, stating 63.45 J/mol-K etc, but others including some chemistry books state the standard molar entropy to be 69.9 J/mol-K.).

I am specifically interested in how the standard molar entropy of water in liquid form was found.

Thanks in advanced,
 
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If you know the standard molar entropy of gaseous water (a hypothetical state), the standard molar entropy of liquid water is that value minus the heat of vaporization divided by the standard absolute temperature. To get the standard molar entropy of liquid water, you need to measure (or otherwise know) the equilibrium constant for formation reaction.
 

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