Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IHeat & Heat CapacityMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension

An ideal gas with the adiabatic exponent γ undergoes a process in which its internal energy relates to the volume as U = a·Vα, where a and α are constants.

What is the molar heat capacity of the gas in this process?

Options:

Answer:
C
Solution:

Per mole, C = dQ/dT = dU/dT + dW/dT. dU/dT = Cv = R/(γ−1). From Q17, dW = ((γ−1)/α) dU, so dW/dT = ((γ−1)/α)·Cv = R/α. Hence C = R/(γ−1) + R/α. Matches (c).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Heat & Heat Capacity
⏱ 2mℹ️ Source: QB

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