Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumnumerical
A gas consisting of rigid diatomic molecules was expanded in a polytropic process so that the rate of collisions of the molecules against the vessel's wall did not change. The molar heat capacity of the gas (in cal/K-mol) in this process is
Answer:
6.00
Solution:
Collision rate per unit wall area ∝ n·⟨v⟩ = (N/V)·√T. Keeping it constant: √T/V = const ⇒ T ∝ V², i.e. TV⁻² = const, so the polytropic index x in TV^(x−1) = const is x = −1. Molar heat capacity of a polytrope: C = Cv + R/(1 − x) = (5/2)R + R/(1 − (−1)) = (5/2)R + (1/2)R = 3R = 6 cal K⁻¹ mol⁻¹ (Cv = 5/2 R for rigid diatomic).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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