Practice question
Question
For an ideal gas ( γ = 1.4 ) compressed adiabatically from 20 L to 5 L at 400 K, calculate Δ U if Cv = 20.785 J/mol·K . (1 mol gas)
Explanation
For adiabatic compression, T₂ = 400 × (20/5)⁰.⁴ ≈ 400 × 1.741 = 696.4 K . Then, Δ T = 696.4 - 400 = 296.4 K . Internal energy change: Δ U = nCvΔ T = 1 × 20.785 × 296.4 ≈ 6160 J .
Discussion
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