Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension
A cylindrical container of volume 89.6 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 sections is 54.6 K and 2 atm. Now, gas in section A is slowly heated till the volume of section B becomes one-eighth of its initial volume.
What is the final temperature of gas in Section A?
Options:
Answer:
C
Solution:
n in each section = (2 × 44.8)/(0.0821 × 54.6) ≈ 20 mol. Piston equilibrium: PA = PB = 64 atm; VA = 89.6 − 5.6 = 84 L. TA = PA VA/(nR) = (64 × 84)/(20 × 0.0821) = 5376/1.642 ≈ 3274 K. Matches (c).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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