Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IWorkMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
An ideal gas whose adiabatic exponent equals γ is expanded according to the law P = α V, where α is a constant. The initial volume of the gas is equal to V0. As a result of expansion, the volume increases 4 times.
What is the molar heat capacity of the gas in the process?
Options:
Answer:
A
Solution:
C = Cv + (P dV)/(n dT). From PV = nRT with P = α V: α V2 = nRT, so 2α V dV = nR dT and (P dV)/(n dT) = (α V dV)/(n dT) = R/2. C = R/(γ-1) + R/2 = (R(γ+1))/(2(γ-1)). Matches (a).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Work
⏱ 2mℹ️ Source: QB
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