(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.

題組內容

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_pand c_vwhere. 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%)

2. A closed and rigid vessel containing air-water vapor mixture undergoes a cooling process with the volume of 2.172 m3, Fig.2. The operation conditions are summarized in Table 2. The dew point temperature of the initial state is 99.63℃. Air behaviors as an ideal gas with specific heat ratio of 1.4. Determine (a) the initial temperature of mixture Ti, in℃, (b) the initial pressure of mixture p1, in bar, (c) the mass of vapor, in kg, (d) the mass of dry air, in kg, (e) the temperature of mixture T2 when water vapor starts to condensate, in ℃, (D) the pressure of the mixture P2, in bar, as the mixture temperature reaches T2, (g) the heat transfer during the cooling process, in kJ, (h) the entropy production during the cooling process, in kJ/K, if the vessel boundary always keeps at a constant temperature of T2. (32%)

題組內容

(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.

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