Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumsingle choice

One mole of a real gas is subjected to heating at constant volume from (P1, V1, T1) state to (P2, V1, T2) state. Then it is subjected to irreversible adiabatic compression against constant external pressure of P3 atm, till the system reaches final state (P3, V2, T3). If the constant volume molar heat capacity of real gas is CV, then the correct expression for Δ H from State 1 to State 3 is

Options:

Answer:
A
Solution:

Δ H is a state function, so Δ H = Δ U + Δ(PV) between State 1 (P1, V1, T1) and State 3 (P3, V2, T3). With CV constant, Δ U = CV(T3 - T1) (heating step CV(T2 - T1) plus the adiabatic step CV(T3 - T2)). Δ(PV) = P3V2 - P1V1. So Δ H = CV(T3 - T1) + (P3V2 - P1V1). Matches (a).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...