Understanding Ideal Gas Kinetics
Dive into the world of ideal gas kinetics with topics covering the kinetic model, average kinetic energy, RMS velocity calculations, Maxwellian distribution, and more. Explore concepts and examples related to the behavior of ideal gases at different temperatures and conditions.
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Presentation Transcript
The kinetic model of an ideal gas Contents: Basic Concept Example Whiteboards
Kinetics The average kinetic energy of an ideal gas particle temp and T monatomic Average KE of an ideal gas particle (J) kb Boltzmann s Constant (1.38x10-23 JK-1) T absolute temperature in Kelvins R the gas constant (8.31 JK-1mol-1) NA Avocado's number (6.02x1023 mol-1)
Kinetics What is the RMS velocity of a helium molecule in the thermosphere that is at 1800 oC? (what RMS means, why helium doesn t stick around) 3590 m/s
Maxwellian Distribution of Molecular Speeds Vp and Vrms example of rms
asymptotic nature Vrms He 3,350 m/s Vesc from t-sphere 10,000 m/s
Kinetics 1-4
What is the average KE of an ideal gas molecule at 37.0 oC? solution 6.42x10-21 J
At what temperature is the average KE of an ideal gas molecule 1.20x10-20 J? solution 580. K
What is the RMS speed of an atom of Neon-20 at room temperature? (Ne-20 = 19.992 u, 1 u= 1.661x10-27 kg, T = 20.0 oC) solution 605m/s
At what temperature is the RMS velocity of Helium the same as Usain Bolt s PR average in the 100 m? (100 m in 9.58 s) (He =4.00 u, 1 u= 1.661x10-27 kg) solution 0.0175 K
