The pressure and density of a monatomic ideal gas (γ = 5/3) change from (P 1 , d 1 ) to (P 2 , d 2 ) adiabatically. If d 2 /d 1 = 8, then what is the value of P 2 /P 1 ?

P 2 /P 1 = (d 2 /d 1 ) γ = 8 5/3 = 2 5 = 32. Matches (d).

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ChemistryThermodynamics - IAdiabatic Process/PolytropicEasy2 minQB

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The pressure and density of a monatomic ideal gas (γ = 5/3) change from (P₁, d₁) to (P₂, d₂) adiabatically. If d₂/d₁ = 8, then what is the value of P₂/P₁?

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Answer:

Solution:

P₂/P₁ = (d₂/d₁)^γ = 8^5/3 = 2⁵ = 32. Matches (d).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Adiabatic Process/Polytropic

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