Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasMaxwell's Distribution LawEasy2 minQB
ChemistryEasysingle 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 does the RMS speed of hydrogen molecules exceed their most probable speed by 200 m/s? (sqrt(6) = 2.45)
Options:
Answer:
B
Solution:
crms - cₘₚ = (√(3)-√(2))√(RT/M) = 200 m/s. Squaring, (5 - 2√(6))RT/M = 4×10⁴ with 5 - 2(2.45) = 0.1, so RT/M = 4×10⁵. With M = 0.002 kg/mol: T = 4×10⁵ × 0.002/8 = 100 K = -173°C. Hence Ans (b).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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