Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasMaxwell's Distribution LawMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
According to Maxwell's distribution law, the fraction of molecules per unit change in speed [velocity distribution function, f(c)], traveling with speeds from C to C + dC, is:
f(c) = (1/dC)·(dN/N) = 4π·(M / 2πRT)3/2·C²·e(-MC²/2RT). (R = 8.0 J/K-mol, ln 2 = 0.7)
At what temperature will the velocity distribution function for oxygen molecules have its maximum value at the speed 600 m/s?
Options:
Answer:
A
Solution:
The maximum of f(c) occurs at cₘₚ = √(2RT/M). Setting cₘₚ = 600 m/s for O₂ (M = 0.032 kg/mol): T = Mc²/2R = 0.032 × (600)²/(2 × 8) = 11520/16 = 720 K = 447°C. Hence Ans (a).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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