Guidance on finding the pressure and density of nitrogen

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SUMMARY

The discussion focuses on calculating the pressure and density of nitrogen under conditions where the ideal gas equation exhibits a 15% error. The relevant equations are P = ρRT and Pv = RT, with the temperature set at 250 K. A suggestion is made to substitute nitrogen with air, given that air is approximately 78% nitrogen, although this substitution may not significantly affect the error margin. The conversation highlights the importance of understanding the implications of using the ideal gas law in real-world applications.

PREREQUISITES
  • Understanding of the ideal gas law and its equations (P = ρRT, Pv = RT)
  • Basic knowledge of thermodynamics and gas properties
  • Familiarity with error analysis in scientific calculations
  • Concept of gas composition and its impact on calculations
NEXT STEPS
  • Research the implications of using the ideal gas law at varying temperatures and pressures
  • Learn about error analysis techniques in thermodynamic calculations
  • Explore the properties of nitrogen and air mixtures in gas calculations
  • Study real gas behavior and deviations from ideal gas laws
USEFUL FOR

This discussion is beneficial for students in thermodynamics, engineers working with gas systems, and anyone involved in atmospheric science or aerospace engineering.

kawf
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Homework Statement



Calculate the pressure and density of nitrogen at which there is a 15% error in the ideal gas equation of state for a plane flying in air of temperature 250 K

Homework Equations



P = rho RT
Pv = RT

The Attempt at a Solution



Little confused on how to approach the problem. Any guidance is appreciated.
 
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i would suggest that since air is made up of about 78% nitrogen, you could substitute the nitrogen with air. anyway, there is already a 15% error in the equation. the error due to the substitution of nitrogen by air should not be very significant.

i might as well be wrong!
 

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