Calculate Heat Transfer for Cooling Saturated Water in a Closed Tank

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SUMMARY

The discussion focuses on calculating the heat transfer for cooling saturated water in a closed, rigid tank, specifically when the final temperature is 50 degrees Celsius. The key equation used is u = (1-x)u_f + x(u_g), where the user struggles to find the specific internal energy of the initial saturated liquid due to the lack of pressure or temperature data. The user seeks guidance on how to derive these missing values from the given final temperature of 50 degrees Celsius.

PREREQUISITES
  • Understanding of thermodynamic properties of saturated liquids and vapors.
  • Familiarity with the use of saturation tables for water.
  • Knowledge of the concept of internal energy in thermodynamics.
  • Ability to apply the equation u = (1-x)u_f + x(u_g) in calculations.
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  • Research how to extract pressure or temperature values from saturation tables for water.
  • Learn about the relationship between temperature and pressure in saturated states.
  • Study the concept of internal energy and its significance in thermodynamic processes.
  • Explore examples of heat transfer calculations in closed systems involving phase changes.
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Students and professionals in thermodynamics, mechanical engineers, and anyone involved in heat transfer calculations for saturated fluids.

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Homework Statement



Saturated liquid water contained in a closed, rigid tank is cooled to a final state where the temperature is 50 degrees C and the masses of saturated vapor and liquid present are 0.03 and 1999.97 kg, respectively. Determine the heat transfer for the process, in kJ.

Homework Equations



u = (1-x)u_f + x(u_g)

The Attempt at a Solution



Well, I am able to find the values for all my variables except for the specific internal energy of the initial saturated liquid water. The value can be found on a saturation table but to do so, I need to know either the pressure or the temperature of the water, which is not given in the problem. Any hints on obtaining one these values?

Thanks
 
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Xkaliber said:
Saturated liquid water contained in a closed, rigid tank is cooled to a final state where the temperature is 50 degrees C and ...

...The value can be found on a saturation table but to do so, I need to know either the pressure or the temperature of the water, which is not given in the problem.


Will this help?
 
lol, I wish it were that easy, but I actually need the pressure or the temp of the saturated liquid before cooling. I am sure the 50 degrees C value is used in some way, direct or indirect, to find one of the numbers I need, but I am not sure how to calculate it.
 

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