Question on water vapour and pressures

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SUMMARY

The discussion focuses on calculating the mass of water condensed from 20 liters of moist air at 25 degrees Celsius with a relative humidity of 75% when compressed isothermally to a volume of 4 liters. The key steps include determining the saturated water vapor pressure at 25 degrees Celsius using a chart, applying the ideal gas law (pV = mRT), and utilizing the relative humidity to find the mass of water condensed. The participants confirm that using the saturated vapor pressure chart is essential for solving the problem accurately.

PREREQUISITES
  • Understanding of the ideal gas law (pV = mRT)
  • Knowledge of water vapor pressure and its dependence on temperature
  • Familiarity with relative humidity concepts
  • Ability to read and interpret vapor pressure charts
NEXT STEPS
  • Research how to read and utilize vapor pressure charts for various temperatures
  • Learn about isothermal processes in thermodynamics
  • Explore the relationship between relative humidity and water vapor pressure
  • Study advanced applications of the ideal gas law in real-world scenarios
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Students in thermodynamics, meteorology enthusiasts, and professionals dealing with HVAC systems or any field requiring an understanding of moisture in air.

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Homework Statement



20 litres of moist air at 25 degrees celsius with a relative humidity of 75% are compressed isothermally to a volume of 4 litres. Calculate the mass of water condensed? (One method, find the original water vapour pressure, it will be increased by what factor?)

Homework Equations



pV= mRT

water vapour pressure = density x R x T

The Attempt at a Solution



Where should I start with this problem. Finding the mass is really hard here, the mass of water condensed is only part a of the question. if i had that, i could figure it all out. any hints in the right direction?
 
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What is pressure of saturated water vapour at 25 deg C?
 
sorry borek u lost me. am i supposed to read the pressure of saturated water vapour at 25 degrees off a chart? Because right now, I cannot see an equation that help me find the mass with the current information provided.
 
yea think i got it. I used the chart to search for saturated vapour pressures at 25 deg C, then used PV= mRT to calculate the mass of water. Then use relative humidity to find mass of water condensed.

cheers anyway
 
math_04 said:
am i supposed to read the pressure of saturated water vapour at 25 degrees off a chart?

Yes.
 

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