Kinetic Theory of the Ideal Gas

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SUMMARY

The forum discussion focuses on calculating the root mean square (rms) speed of nitrogen (N2), oxygen (O2), and carbon dioxide (CO2) molecules in air at 0.0°C and 1.00 atm using the formula vrms = √(3kT/m). The calculated rms speed for N2 is approximately 9978.73 m/s, while the recalculated value using a different approach yields 493 m/s. The discussion highlights the importance of correctly applying the ideal gas law and understanding molecular mass in these calculations.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with the concept of root mean square speed
  • Knowledge of molecular masses of gases (e.g., N2, O2, CO2)
  • Basic proficiency in thermodynamics and kinetic theory
NEXT STEPS
  • Study the derivation of the rms speed formula in kinetic theory
  • Learn about the molecular masses of common gases
  • Explore the impact of temperature and pressure on gas behavior
  • Investigate real gas deviations from ideal gas behavior
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Students studying thermodynamics, physics enthusiasts, and anyone interested in understanding gas behavior and kinetic theory applications.

liz_p88
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Homework Statement



Find the rms speed in air at 0.0°C and 1.00 atm of (a) the N2 molecules (b) the O2 molecules, and (c) the CO2 molecules.

Homework Equations



vrms = square root of 3kT/m

The Attempt at a Solution



(a). 28.0u x (1.66 x 10^-27) = 4.68 x 10^-26
1.5 x (1.38 x 10-23 J/K) x 273K = 5.6511 x 10^ -21

square root of {(3)(5.6511 x 10^-21)(273)/(4.648 x 10^-26)}

9978.73 m/s

If I got this correct, I can do b and c but I honestly don't know if I did it right
 
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I did it again, this time I did

square root of (2)(5.6511 x 10^-21)/ (4.648 x 10^-26)

493 m/s
 

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