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)

On increasing the molecular mass of gaseous sample at constant temperature, the fraction of molecules having speed equal to most probable speed at that molecular mass

Options:

Answer:
A
Solution:

From the distribution function, f(cmp) = 4/e√(M/2π RT) ∝ √(M) at constant T. A heavier gas has a sharper, taller peak, so the fraction of molecules at the most probable speed increases with M. Hence Ans (a).

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB

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