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)
At what speed will the value of the Maxwell distribution function f(c) at temperature T equal its value at a temperature n times higher?
Options:
Answer:
D
Solution:
Setting f(c,T) = f(c,nT): T-3/2e-Mc²/2RT = (nT)-3/2e-Mc²/2RnT. Taking logs, 3/2ln n = (Mc²(n-1))/(2RTn), so c = √(3RT,nln n/M(n-1)). Hence Ans (d).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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