Ideal gas law problem concerning the exponetial atmosphere: part 4

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SUMMARY

The discussion focuses on estimating atmospheric pressure at various altitudes using the ideal gas law, specifically the equation P(z) = P(0)exp(-mgz/kT). Participants address the need to determine mass and temperature for accurate calculations, emphasizing the importance of considering the molar mass of air molecules. Locations analyzed include Ogden, Utah (1430 m), Leadville, Colorado (3090 m), and Mt. Whitney (4420 m), with the baseline pressure at sea level set at 1 atm.

PREREQUISITES
  • Understanding of the ideal gas law and its applications
  • Familiarity with the concepts of atmospheric pressure and altitude
  • Knowledge of molar mass of air molecules
  • Basic proficiency in exponential functions and their applications in physics
NEXT STEPS
  • Research the calculation of atmospheric pressure using the ideal gas law
  • Learn about the molar mass of air and its impact on pressure calculations
  • Explore temperature variations with altitude and their effects on pressure
  • Investigate the use of the barometric formula in atmospheric science
USEFUL FOR

Students studying physics, atmospheric scientists, and anyone interested in understanding the relationship between altitude and atmospheric pressure using the ideal gas law.

pentazoid
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1. Homework Statement [/b
Estimate the pressure , in atmospheres, at the following locations:Odgen Utah(1430 m above seas level);Leadville colorado(3090 m) Mt. Whithney (4420 m) and various other cities above sea level. (assume that the pressure at sea level is 1 atm.)

Homework Equations



P(z)=P(0)exp(-mgz/kT)?

The Attempt at a Solution



P(0)=1.0105e5 pascal = 1 atm.
how would I determine the mass and temperature. should I consider the molar mass of air molecules?
 
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anybody not understand my question or/and my solution
 

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