Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
One mole of an ideal gas whose adiabatic exponent equals γ undergoes a process in which the gas pressure relates to the temperature as p = aTα, where a and α are constants.
What is the magnitude of work performed by the gas if its temperature is increased by Δ T?
Options:
Answer:
A
Solution:
V = RT/p = (R/a)T1-α, so dV = (R/a)(1-α)T-αdT. dw = p dV = aTα·(R/a)(1-α)T-αdT = R(1-α) dT. w = R(1-α)Δ T. Matches (a).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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