Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumnumerical
A gas consisting of rigid monoatomic 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:
4.00
Solution:
Collision rate per unit wall area ∝ (N/V)√T = const ⇒ √T ∝ V ⇒ T ∝ V², so TV⁻² = const and x = −1 in TV^(x−1) = const. C = Cv + R/(1 − x) = (3/2)R + R/(1 − (−1)) = (3/2)R + (1/2)R = 2R = 4 cal K⁻¹ mol⁻¹ (Cv = 3/2 R for monoatomic).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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