Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IFirst law of ThermodynamicsHard2 minQB
ChemistryHardsingle 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 amount of heat is to be transferred to this gas to increase its internal energy by ΔU?

Options:

Answer:
B
Solution:

First law: Q = ΔU + W. From the work relation W = ΔU(γ−1)/m, Q = ΔU(1 + (γ−1)/m). Traps: (c) subtracts the work as if the gas were being compressed while its internal energy rises; (a) inverts the (γ−1)/m factor; (d) adds a spurious R that breaks dimensional consistency. Matches (b).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:First law of Thermodynamics
⏱ 2mℹ️ Source: QB

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