Consider the reversible processes for 1.0 mol of an ideal gas as shown in the figure. w₁, w₂, w₃ and w₄ represent work done (in calories) in the processes 1, 2, 3 and 4, respectively. ΔU₂ and ΔU₄ are

Question

Consider the reversible processes for 1.0 mol of an ideal gas as shown in the figure. w₁, w₂, w₃ and w₄ represent work done (in calories) in the processes 1, 2, 3 and 4, respectively. ΔU₂ and ΔU₄ are changes in the internal energy for the processes 2 and 4, respectively. (use R = 2 cal K⁻¹ mol⁻¹) Th

Accepted Answer

Answer: w₁ + w₃ = −2T₁ ln(V₂/V₁) − 2T₂ ln(V₄/V₃) — Process-1 is Isothermal reversible process w₁ = −nRT ℓn(Vf/Vi) = −1 × 2 × T₁ ℓn(V₂/V₁) = −2T₁ ℓn(V₂/V₁) Process-3 is Isothermal reversible process w₃ = −nRT ℓn(Vf/Vi) = −1 × 2 × T₂ ℓn(V₄/V₃) = −2T₂ ℓn

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