How Does Air Temperature and Pressure Affect Density Calculations?

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SUMMARY

The discussion focuses on calculating the temperature and density of dry air using the Ideal Gas Law, specifically at a weather station with a measured station pressure of 1014 mb and a known density of 1.3 kg/m³. The gas constant for dry air, R, is specified as 287 J/kg-K. After determining the temperature, the conversation shifts to recalculating the air density when the pressure decreases to 1010 mb while maintaining the same temperature. Participants emphasize the importance of unit consistency throughout the calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law (P = ρRT)
  • Familiarity with unit conversions (1 mb = 100 J/m³)
  • Basic algebra skills for manipulating equations
  • Knowledge of atmospheric pressure and density concepts
NEXT STEPS
  • Study the Ideal Gas Law applications in meteorology
  • Learn about unit conversion techniques in physics
  • Explore the relationship between temperature, pressure, and density in gases
  • Investigate the effects of altitude on air density and pressure
USEFUL FOR

Meteorologists, atmospheric scientists, students studying physics or environmental science, and anyone interested in understanding the relationships between air temperature, pressure, and density calculations.

Claire_01
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A weather station at the airport measured a station pressure of 1014 mb. The density of dry air is 1.3 kg/m^3. The gas constant for dry air, R, is 287 J/kg-K. Calculate the temperature of the dry air at the airport.

1 mb = 100 J/m ^3

AND

The surface pressure at the airport then decreased to 1010 mb but the air temperature reamined the same (as the answer in #1). Calculate new density of air.*I'm really confused and I would greatly appreciate it if someone can walk me through this problemThis is what I have so far, I know you have to use the Ideal Gas law
P= p R T

1014 mb = 1.3 kg/m^3 x 287 j/kg-k x T
 
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Hey, that looks really good so far! Surely you know enough algebra to take it from there. Just as a comment though, make sure you watch your units!
 

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