Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IFirst law of ThermodynamicsHard2 minQB
ChemistryHardsingle choice
Passage / Comprehension

An ideal gas whose adiabatic exponent equals γ is expanded according to the law P = α V2, where α is a constant. The initial volume of the gas is equal to V0. As a result of expansion, the volume doubles.

What is the increment of the internal energy of the gas?

Options:

Answer:
B
Solution:

Δ U = (Δ(PV))/(γ-1). PV = α V3. Initially α V03; finally α(2V0)3 = 8α V03. Δ U = ((8-1)α V03)/(γ-1) = (7α V03)/(γ-1). Matches (b).

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

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