Guidance on finding the pressure and density of nitrogen

AI Thread Summary
To calculate the pressure and density of nitrogen with a 15% error in the ideal gas equation at 250 K, one can use the equations P = rho RT and Pv = RT. The discussion highlights confusion regarding the approach to the problem, suggesting that substituting nitrogen with air, which is primarily composed of nitrogen, may not significantly affect the error. It emphasizes that the existing 15% error should be considered when making calculations. Overall, the conversation seeks clarity on how to accurately apply the ideal gas law in this context.
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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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