Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IAdiabatic Process/PolytropicHard2 minQB
ChemistryHardsingle choice
Passage / Comprehension

Two moles of an ideal gas whose adiabatic exponent equals γ undergo a process in which the gas volume relates to the temperature as V = aTα, where a and α are constants.

What is the magnitude of work performed by the gas if its temperature is increased by Δ T?

Options:

Answer:
A
Solution:

dV = aα Tα-1dT = α V(dT)/T. With P = nRT/V: dw = P dV = (nRT)/V·α V(dT)/T = n Rα dT. For n = 2, w = 2Rα Δ T. Matches (a).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...