Chemistry - Thermodynamics - II Question with Solution | TestHub

ChemistryThermodynamics - IICarnot Cycle/Cyclic processMedium2 minQB
ChemistryMediumsingle choice

An ideal gas (γ = 1.40) is used in a Carnot cycle as a working substance. The efficiency of the cycle, if as a result of an adiabatic expansion the gas volume increases 2.75 times, is [(1.5)2.5 = 2.75]

Options:

Answer:
A
Solution:

Adiabatic: TcV2γ-1 = ThV1γ-1, so Tc/Th = (V1/V2)0.4 = (1/2.75)0.4. Since 2.75 = 1.52.5, 2.750.4 = 1.5, so Tc/Th = 1/1.5 = 2/3. η = 1 - 2/3 = 1/3 = 100/3%. Matches (a).

Stream:JEESubject:ChemistryTopic:Thermodynamics - IISubtopic:Carnot Cycle/Cyclic process
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