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 RMS speed of hydrogen molecules exceeds their most probable speed by 400 m/s? (√(6) = 2.45)
Options:
Answer:
A
Solution:
crms - cmp = (√(3) - √(2))√(RT/M) = 400 m/s. Squaring: (√(3)-√(2))2 = 5 - 2√(6) = 5 - 2(2.45) = 0.1, so 0.1 × RT/M = (400)2 = 1.6 × 105. With M = 0.002 kg/mol: T = 1.6×105 × 0.002/(0.1 × 8) = 400 K = 127°C. Hence Ans (a).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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