Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicEasy2 minQB
ChemistryEasysingle choice
Passage / Comprehension
An ideal gas (CP/Cv = γ) is expanded so that the amount of heat transferred to the gas is equal to one-third of the decrease in its internal energy.
What is the relation between T and V of the gas in this process?
Options:
Answer:
A
Solution:
dq = dU + P dV with dq = -1/3dU gives P dV = -4/3nCv,m dT. So nRT(dV)/V = -4/3(nR)/(γ-1)dT, i.e. (dT)/T = -(3(γ-1))/4(dV)/V. Hence T V3(γ-1)/4 = constant. Matches (a).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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