Why Does Enthalpy of Saturated Vapour Increase with Temperature?

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SUMMARY

The enthalpy of saturated vapor increases with temperature due to the combined effects of increased internal energy and higher pressure-volume work (PV) as described by the equation H = U + pV. Specifically, as temperature rises, both the internal energy (U) and the pressure-volume term (PV) increase, leading to a higher enthalpy. However, this trend does not hold at all temperatures; near the critical point, the enthalpy of the saturated vapor can decrease with temperature despite the saturated liquid's enthalpy consistently increasing.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically enthalpy and internal energy.
  • Familiarity with the equation H = U + pV.
  • Knowledge of ammonia liquid-vapor tables and their significance in thermodynamics.
  • Concept of critical points in phase transitions.
NEXT STEPS
  • Study the relationship between temperature and internal energy in thermodynamic systems.
  • Explore the implications of the ideal gas law (PV = nRT) on enthalpy calculations.
  • Investigate the behavior of enthalpy near critical points in various substances.
  • Review the concept of heat of vaporization and its variation with temperature and pressure.
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Students and professionals in thermodynamics, chemical engineering, and physical chemistry who are looking to deepen their understanding of enthalpy changes in phase transitions, particularly involving ammonia.

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Homework Statement



I have the ammonia liquid-vapour tables and I have noticed that the enthalpy of a saturated vapour increases as temperature increases. Can someone please help me to understand why this is the case?

Homework Equations



H = U + pV

The Attempt at a Solution



I assume that at higher temperatures the vapour will have a greater internal energy. Is this why enthalpy increases with temperature?

Thanks!
 
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r.physics said:

Homework Statement



I have the ammonia liquid-vapour tables and I have noticed that the enthalpy of a saturated vapour increases as temperature increases. Can someone please help me to understand why this is the case?

Homework Equations



H = U + pV

The Attempt at a Solution



I assume that at higher temperatures the vapour will have a greater internal energy. Is this why enthalpy increases with temperature?

Thanks!
It also has a higher PV, since PV=nRT. So, both U and PV are higher.

Also, this is not the case at all temperatures. The enthalpy of the saturated liquid always increases with temperature, but the heat of vaporization decreases as the critical point is approached. So, at temperatures and pressures approaching the critical, the enthalpy of the saturated vapor actually decreases with temperature (i.e., along the saturation line).
 
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