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Zero Energy Change of Ideal Gas: Thermodynamic Analysis

Understand the concept of zero energy change in ideal gas as it expands against vacuum, with a focus on the first law of thermodynamics and its implications. Explore the relationship between volume, temperature, and internal energy.

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Zero Energy Change of Ideal Gas: Thermodynamic Analysis

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  2. The change of energy of an ideal gas with volume at constant temperature is equal to zero.AS GAS EXPANDS AGAINST VACCUM, THEREFORE ,POPPOSING=0HENCE DW=-POPPOSINGDV=0USINF FIRST LAW OF THERMODYNAMICSDU=đQ(∂u⁄∂v)t=0DU=(∂U⁄∂T)V+(∂U/∂V)TDVBUT DU=0 AND DT=0 HENCE (∂u⁄∂v)tDV=0AS DV≠0 IMPLIES THAT

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