Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IAdiabatic Process/PolytropicEasy2 minQB
ChemistryEasysingle choice
With what minimum pressure must a given volume of an ideal gas (γ = 1.4), originally at 400 K and 100 kPa, be adiabatically compressed in order to raise its temperature up to 700 K?
Options:
Answer:
B
Solution:
The least applied pressure is a single-step compression against a constant external pressure P2 (a reversible compression needs the pressure to climb to a higher final value). q = 0: Δ U = w, so nCv(T2 - T1) = -P2(V2 - V1) with Cv = 5/2R. Using V2 = nRT2/P2 and V1 = nRT1/P1: 5/2(300) = (P2)/(P1)(400) - 700, so (P2)/(P1) = 1450/400 = 3.625 and P2 = 362.5 kPa. Matches (b).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic
⏱ 2mℹ️ Source: QB
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