(1) A cycle with ideal gas operates as follows: (i) From an initial state (p₁, V₁) the gas is cooled at constant pressure to (P₁, V₂); (ii) The gas is heated at constant volume to (p₂, V₂); (iii) The gas is expanded adiabatically back to (P₁, V₁). Show that the efficiency of this cycle is η = 1 - γ (V₁/V₂) - 1 (P₂/P₁) - 1
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