Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IWorkMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
An ideal gas with the adiabatic exponent γ undergoes a process in which its internal energy relates to the volume as U = k·Vm, where k and m are constants.
What is the magnitude of work performed by the gas to increase its internal energy by ΔU?
Options:
Answer:
D
Solution:
For one mole, U = CvT and U = kVm give T = kVm/Cv, so p = RT/V = (R/Cv)·k·V^(m−1) = k(γ−1)V^(m−1). W = ∫p dV = k(γ−1)(V₂m − V₁m)/m = ((γ−1)/m)·ΔU. Matches (d).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Work
⏱ 2mℹ️ Source: QB
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