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 = k·Vm, where k and m are constants.

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

Options:

Answer:
A
Solution:

C = dQ/dT = Cv + dW/dT. dW = ((γ−1)/m) dU = ((γ−1)/m) Cv dT = (R/m) dT. Hence C = R/(γ−1) + R/m. Matches (a).

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

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