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 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)

On increasing the temperature of a gas, the fraction of molecules having speed equal to the most probable speed at that temperature

Options:

Answer:
D
Solution:

At the peak, f(cₘₚ) = 4/e√(M/2π RT) ∝ 1/√(T). The peak flattens as T rises, so the fraction at the most probable speed decreases. Hence Ans (d).

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

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