Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasMaxwell's Distribution LawHard2 minQB
ChemistryHardsingle 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)
What is the ratio of the number of molecules having speeds in the range 3uₘp to 3uₘp + du to those in the range uₘp to uₘp + du?
Options:
Answer:
B
Solution:
The ratio is f(3uₘₚ)/f(uₘₚ) = (3uₘₚ)²/uₘₚ² × e-M(9uₘₚ² - uₘₚ²)/2RT = 9e-8Muₘₚ²/2RT. With uₘₚ² = 2RT/M the exponent is -8, giving 9e⁻⁸. Hence Ans (b).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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