Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicMedium2 minQB
ChemistryMediumsingle choice
Two rigid adiabatic vessels A (volume = 2 L) and B (volume = 6 L), which initially contain two gases at different temperatures, are connected by a pipe of negligible volume. Vessel A contains 1 mole of He gas (CP,m = 5 cal/K-mol) at 300 K and vessel B contains 2 moles of CO gas (CP,m = 8 cal/K-mol) at 200 K. What is the final pressure (in atm) when the valve is opened and 4.2 kcal heat is supplied through it to the vessels? (R = 2 cal/K-mol = 0.08 L-atm/K-mol)
Options:
Answer:
B
Solution:
Rigid, so Q = Δ U of the whole system. CV,m(He) = 3 cal/K-mol, CV,m(CO) = 6 cal/K-mol. 4200 = (1 × 3 + 2 × 6)Tf - (1 × 3 × 300 + 2 × 6 × 200) = 15Tf - 3300, so Tf = 7500/15 = 500 K. n = 3 mol, V = 8 L, P = 3 × 0.08 × 500/8 = 15 atm. Matches (b).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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