Accounting for Liquid Water Density in Ideal Gas Pressure Calculations

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SUMMARY

The discussion focuses on calculating the total pressure and partial pressure of dry air in a closed system containing water, specifically when the temperature is raised from 90°C to 120°C. The correct approach involves using the polytropic process to determine the partial pressure of dry air at 1 atm, resulting in an increase of 0.3375 bar. The initial conditions include a water vapor pressure of 0.7 bar and a total pressure of 1 atm, leading to a final water vapor pressure of 1.99 bar. It is established that the change in the volume of liquid water is negligible for these calculations.

PREREQUISITES
  • Understanding of polytropic processes in thermodynamics
  • Knowledge of gas laws and pressure calculations
  • Familiarity with the concept of partial pressures
  • Basic principles of thermodynamics related to phase changes
NEXT STEPS
  • Study the application of the Ideal Gas Law in varying temperature conditions
  • Learn about the calculations involved in polytropic processes
  • Research the effects of temperature on vapor pressure using Antoine's equation
  • Explore the significance of density in thermodynamic calculations
USEFUL FOR

This discussion is beneficial for thermodynamics students, engineers working with closed systems, and professionals involved in pressure calculations in fluid dynamics.

dbag123
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Homework Statement
in a jar that has an airtight lid there is water. Temperature is raised to 120C, and as a result the pressure of the water vapor is 1,99bar. Calculate the partial pressure of dry air and the total pressure.
Relevant Equations
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First calculate the total pressure, but that gives me p2=p1*t2/t1 = 2,86 bar and partial pressure of 0,87 bar which is wrong. any tips?
 
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what about using the polytropic process to figure out the partial pressure of the dry air at 1 atm?, the increase would be 0.3375 bar and that is the right answer, initial temperature is 90C
 
Last edited:
dbag123 said:
what about using the polytropic process to figure out the partial pressure of the dry air at 1 atm?, the increase would be 0.3375 bar and that is the right answer, initial temperature is 90C
Why do you need to use a polytropic process? This is an equilibrium problem.

What is the exact word-for-word statement of the problem?
 
in a jar that has an airtight lid there is water. Temperature is raised to 120C, from 90C, where the pressure of water vapor is 0,7 bar and the air 1 atm and as a result the pressure of the water vapor is 1,99bar. Calculate the partial pressure of dry air and the total pressure.
 
Makes a difference ! What happens to the 1 atm when going from 90 to 120 C ?
 
dbag123 said:
in a jar that has an airtight lid there is water. Temperature is raised to 120C, from 90C, where the pressure of water vapor is 0,7 bar and the air 1 atm and as a result the pressure of the water vapor is 1,99bar. Calculate the partial pressure of dry air and the total pressure.
You need to assume that the change in the volume of liquid water is negligible.
 
Chestermiller said:
You need to assume that the change in the volume of liquid water is negligible.
One could account for the density of the liquid water. However, since liquid water is approximately 1000 times as dense as steam at 2.0 bars, one might expect such an accounting to affect the result only in the third significant digit. The inputs here look to be good to only two digits at best.
 

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