申論題

3. For a closed simple compressible system operating with air as an ideal gas with molecular weight M as well as constant specific heats c_p and c_v where. The temperature T, pressure p, specific volume v and specific entropy s of two equilibrium states of this system are given as (T₁, p₁, v₁, S₁) and (T₂, p₂, v₂, S₂), respectively. The universal gas constant is. Please derive the following relations. (32%)

(d) The thermal eficiency of a cold air-standard Otto cycle with the compression ratio r where its processes are modeled by a closed simple compressible system.