Calculating Air Volume and Composition with Physical Chemistry Principles

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SUMMARY

The discussion focuses on calculating the volume and composition of air using physical chemistry principles, specifically the ideal gas law. A mole of air, consisting of 80% Nitrogen and 20% Oxygen, is analyzed at a temperature of 298.15K and a pressure of 1 bar. Key calculations include determining the volume of dry air, the final volume of air saturated with water vapor, and the mole fractions of N2, O2, and H2O in the moist air. The ideal gas equation, PV=nRT, is utilized to derive these values, emphasizing the importance of understanding partial pressures and total pressure in the system.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of partial pressures and Dalton's Law
  • Familiarity with mole fractions and their calculations
  • Basic principles of vapor pressure and saturation
NEXT STEPS
  • Study the application of Dalton's Law of Partial Pressures
  • Learn about vapor pressure calculations and their significance
  • Explore the concept of mole fractions in gas mixtures
  • Investigate the ideal gas law under varying conditions of temperature and pressure
USEFUL FOR

Students in physical chemistry, chemical engineering, and environmental science, as well as anyone involved in gas calculations and thermodynamic processes.

Alex66
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A mole of air (80% Nitrogen, and 20% Oxygen by volume) at 298.15K is brought into contact with liquid water which has a vapor pressure of 3168 Pa at this temperature.

a) what is the volume of the dry air if the pressure is 1 bar?

b) what is the final volume of the air saturated with water vapor if the total pressure is maintained at 1 bar?

c) what are the mole fractions of N2, O2, and H20 in the moist air? Assume all gases are ideal

I need help setting up the problem, I have no clue on where to start. I started with PV=nRT but I don't know if that's right. At my school we do not have a tutor for this class so any help is greatful. thank you
 
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Vtot = ntot RT/Ptot

The number of moles of the system is the sum of the number of moles of each component. This can be determined if you know the pressure, temperature and volume of the system.

The sum of the partial pressures of all of the components equals the total pressure of the system. It can be determined from the ideal gas equation if you know moles, temperature and volume.

Final volume of the system is the sum of the volumes of each component. Volume can be determined from the ideal gas equation if you know moles, temperature and pressure.
 

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