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)
What is the ratio of the number of molecules having speeds in the range of 2ump and 2ump + du to the number of molecules having speeds in the range of ump and ump + du?
Options:
Answer:
A
Solution:
The ratio is f(2ump)/f(ump) = (2ump)2/ump2 × e-M(4ump2 - ump2)/2RT = 4e-3Mump2/2RT. Since ump2 = 2RT/M, the exponent is -3, giving 4e-3. Hence Ans (a).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Maxwell's Distribution Law
⏱ 2mℹ️ Source: QB
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