Accounting for Liquid Water Density in Ideal Gas Pressure Calculations

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Homework Help Overview

The discussion revolves around calculating pressures in a system containing liquid water and air, particularly focusing on the effects of temperature changes on vapor pressure and total pressure in a closed jar. The subject area includes thermodynamics and gas laws.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the use of polytropic processes to determine partial pressures and question the necessity of this approach in the context of equilibrium. There are inquiries about the implications of temperature changes on pressure and the assumptions regarding the volume of liquid water.

Discussion Status

The discussion is active with various approaches being considered, including the use of polytropic processes and the impact of temperature on pressures. Participants are questioning assumptions about the system and exploring the relevance of liquid water density in their calculations.

Contextual Notes

There are assumptions regarding the negligible change in the volume of liquid water, and participants note the limitations of the precision of their inputs, suggesting that the density of liquid water may not significantly affect the results.

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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