Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IWorkEasy2 minQB
ChemistryEasysingle choice
Passage / Comprehension
An ideal gas whose adiabatic exponent equals γ is expanded according to the law P = α V2, where α is a constant. The initial volume of the gas is equal to V0. As a result of expansion, the volume doubles.
What is the molar heat capacity of the gas in the process?
Options:
Answer:
D
Solution:
C = Cv + (P dV)/(n dT). PV = nRT with P = α V2 gives α V3 = nRT, so 3α V2dV = nR dT and (P dV)/(n dT) = (α V2dV)/(n dT) = R/3. C = R/(γ-1) + R/3 = (R(γ+2))/(3(γ-1)). Matches (d).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Work
⏱ 2mℹ️ Source: QB
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