When Does Water Completely Vaporize in a Constant Volume Process?

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SUMMARY

The discussion focuses on the vaporization of a 5 kg mixture of saturated liquid-vapor water in a fixed volume of 2.5 m³, initially at 75 ºC. The temperature at which the water completely vaporizes is determined to be 140.7 ºC. The participant grapples with visualizing the temperature-specific volume diagram, correctly identifying that the process begins within the dome-shaped region of the phase diagram and concludes at a saturated vapor state. The participant concludes that the temperature changes due to varying pressure, leading to a straight line representation in the diagram.

PREREQUISITES
  • Understanding of thermodynamic properties of water, specifically saturated liquid-vapor mixtures.
  • Familiarity with phase diagrams, particularly the temperature-specific volume diagram.
  • Knowledge of the relationship between pressure, temperature, and specific volume in constant volume processes.
  • Ability to interpret and utilize thermodynamic tables for water properties.
NEXT STEPS
  • Study the properties of saturated water and steam using steam tables.
  • Learn how to construct and interpret temperature-specific volume diagrams for different substances.
  • Explore the implications of constant volume processes in thermodynamics.
  • Investigate the relationship between pressure and temperature in phase changes of substances.
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone involved in heat transfer and phase change processes in fluids.

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Homework Statement


5 kg of a mixture of saturated liquid-vapor water is in a container of fixed volume 2,5 m3. Initially the temperature is 75 ºC and then the water is heated.
a) Find the temperature at which the water is completely vaporized.
b) Draw the temperature-specific volume diagram.

The Attempt at a Solution


a) Is easily solved from the tables and I've found a temperature of 140,7 ºC.

b) Here I am completely at a loss... From what I can understand from the problem, initially the process begins somewhere inside the "dome shaped" region.
The specific volume is constant and equals 0,5 m3/kg, which lies between Vf and Vg for 75ºC. I put a red dot where I think the process begins... is it right?
But now... how can we get to the final state? I think the final state is a saturated vapor state... is it right?
Because specific volume is constant, I put a blue dot where I think the final state is... but how can the temperature change inside the dome shaped region??

Many thanks!
 

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oh... I think I got it! Temperature changes because pressure is not constant... So the diagram should be a straight line from red to blue dot. Is this okay?
 

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