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 will be the final pressure of gas in Section B?
Options:
Answer:
D
Solution:
Each section initially holds V₀ = 22.4 L; finally VB = 22.4/8 = 2.8 L. Heating is slow and the piston is frictionless, so B is compressed quasi-statically and, being surrounded by adiabatic walls, adiabatically: PB = P₀(V₀/VB)γ = 1 × 8^(5/3) = (2³)^(5/3) = 2⁵ = 32 atm. Matches (d).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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