The study of distributions of carbon dioxide (CO₂) and carbon monoxide (CO) in the atmosphere is an important environmental issue. The masses of CO₂ and CO molecules are 44u and 28u, respectively with u = 1.66x10-27 kg. A. Calculate the most probable speed, average speed, and rms speed for CO₂ and CO molecules at 290K.

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The study of distributions of carbon dioxide (CO₂) and carbon monoxide (CO) in the
atmosphere is an important environmental issue. The masses of CO₂ and CO molecules are
44u and 28u, respectively with u = 1.66x10-27 kg.
A. Calculate the most probable speed, average speed, and rms speed for CO₂ and CO
molecules at 290K.
B. Discuss the possible distributions of these particles throughout the atmosphere with
explanations.
Transcribed Image Text:The study of distributions of carbon dioxide (CO₂) and carbon monoxide (CO) in the atmosphere is an important environmental issue. The masses of CO₂ and CO molecules are 44u and 28u, respectively with u = 1.66x10-27 kg. A. Calculate the most probable speed, average speed, and rms speed for CO₂ and CO molecules at 290K. B. Discuss the possible distributions of these particles throughout the atmosphere with explanations.
Expert Solution
Part 1)

Dimension of CO2 are 3 dimension and CO are 2 dimension. Mass of CO2 = 44u =44×1.66×10-27=70.4×10-27kgMass of CO = 28u =28×1.66×10-27=44.8×10-27kgValue of boltzmann constant (kB) = 8.61×10-5eV/KFor CO2:Most probable speed (vp) = 2kBTm vp = 2×8.61×10-5×29070.4×10-27 =8.41×1011m/sAverage speed (vav)=8kBTπmvav = 8×8.61×10-5×2903.14×70.4×10-27 =9.51×1011m/sRMS speed (vrms)=3kBTm=1.02×1012m/s

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