Water Mass Calculation for Vessel Under Different Conditions

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SUMMARY

The discussion focuses on calculating the mass of water in a 0.6 ft³ vessel under various pressure and temperature conditions, specifically at 15 psia, 300°F; 100 psia, 500°F; 20 psia, 210°F; 60 psia in saturated vapor; 60 psia in saturated liquid; and at the critical state. Participants emphasize the need to use steam tables for accurate calculations, as water vapor does not adhere to the ideal gas law under certain conditions. Understanding the concepts of saturated vapor, saturated liquid, and critical state is crucial for solving the problem effectively.

PREREQUISITES
  • Understanding of the ideal gas law (PV=mRT)
  • Familiarity with steam tables for water
  • Knowledge of saturated vapor and saturated liquid definitions
  • Concept of critical state in thermodynamics
NEXT STEPS
  • Study the use of steam tables for water properties
  • Learn about the critical point and its significance in thermodynamics
  • Explore the differences between saturated vapor and saturated liquid
  • Review the ideal gas law and its limitations in real gas scenarios
USEFUL FOR

Students in thermodynamics, engineers working with fluid systems, and anyone involved in calculating properties of water under varying pressure and temperature conditions.

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Homework Statement



Calculate the mass of water contained in a 0.6 ft^3 vessel under the following conditions:

a) 15 psia, 300 F

b) 100 psia, 500 F

c) 20 psia, 210 F

d) 60 psia, saturated vapor

e) 60 psia, saturated liquid

f) at the critical state



Homework Equations



PV=mRT

The Attempt at a Solution



I suppose the ideal gas equation is valid? Can someone explain to me why or why not?
Assuming it's valid, for a,b the temperature is above the saturation (boiling) temperature, so R would be the water gas constant? For c, d, e, and f, I don't know what values to plug in for R. Any help would be appreciated. Thanks.
 
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I think you are to determine if the vessel contains watwr as a vapour, as a liquid, or some combination of both for the cases. Water vapour doesn't follow the ideal as law so I suspect you have to use your steam tables.

saturation temperature and saturation pressure go hand in hand, so your comment that for a, b the temperature is above saturation temperature is invalid ( the boiling temperature you are thinking of is valid for atmospheric pressure )

do you know what the terms saturated vapour, saturated liquid and critical state mean - you should familiarize yourself with these terms. ( Use wikepedia if you like, or your textbook should have them defined )
 

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