1. The problem statement, all variables and given/known data Given an imaginary ideal-gas cycle. Assuming constant heat capacities, show that the thermal efficiency is η = 1 - γ[((V1/V2)-1)/((P3/P2)-1)] Since i cant show you the cycle we are shown that l Qh l = which is absolute value of the heat at high temperature = Cv(T3-T2) l QL l = which is absolute value of the heat at low temperature = Cp(T1-T2) Cp/Cv = γ 3. The attempt at a solution Ok so subing in these equations for thermal efficiency which is η = 1 - l QL l / l Qh l we get... η = 1 - γ(T1 - T2)/(T3 - T2) η = 1 - γ((T1/T3) - 1) This imaginary cycle only has a power stroke and we are assuming that its adiabatic...from this we concluded that T1V1^(γ-1) = T3V2^(γ-1) T1P2^((1-γ)/y)=T3P3^((1-γ)/y) divide each equation we get V1^(γ-1)/P2^((1-γ)/y) = V2^(γ-1)/P3^((1-γ)/y) Now im not sure how to rearrange from here to make T1/T3 = (V1/V2)/(P3/P2) Any suggestions would be greatly appreciative. Thanks!