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 the speed from C to C + dC is given as:
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, the velocity distribution function for the oxygen molecules will have maximum value at the speed 400 m/s?
Options:
Answer:
B
Solution:
The distribution peaks at the most probable speed, cmp = √(2RT/M). Setting cmp = 400 m/s for O2 (M = 0.032 kg/mol): T = Mc2/2R = 0.032 × (400)2/(2 × 8) = 5120/16 = 320 K = 47°C. Hence Ans (b).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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