Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
A cylindrical container of volume 44.8 L is containing equal number of moles of an ideal monoatomic gas in two sections A and B, separated by an adiabatic frictionless piston as shown in the figure. The initial temperature and pressure of gas in both section is 27.3 K and 1 atm. Now, gas in section A is slowly heated till the volume of section B becomes one-eighth of the initial volume.
What is the final temperature of gas in Section A?
Options:
Answer:
A
Solution:
Moles in each section n = P₀V₀/RT₀ = (1 × 22.4)/(0.0821 × 27.3) ≈ 10 mol. At equilibrium the frictionless piston gives PA = PB = 32 atm, and VA = 44.8 − 2.8 = 42 L. TA = PA VA/(nR) = (32 × 42)/(10 × 0.0821) = 1344/0.821 ≈ 1638 K. Matches (a).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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