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 temperature of a gas, the fraction of molecules having speed equal to most probable speed at that temperature
Options:
Answer:
B
Solution:
At the peak, f(cmp) = 4π(M/2π RT)3/2(2RT/M)e-1 = 4/e√(M/2π RT), which is proportional to 1/√(T). As T rises, the peak flattens, so f(cmp) dc — the fraction with speed equal to the most probable speed — decreases. Hence Ans (b).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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