(Solved): An ideal Brayton refrigeration cycle uses air as the refrigerant gas. The system is used to cool a ...

An ideal Brayton refrigeration cycle uses air as the refrigerant gas. The system is used to cool a building that is maintained at $$293\mathrm{K}$$ when the outdoor temperature is $$312\mathrm{K}$$. The difference between the indoor temperature and the compressor inlet temperature is maintained at DT1 while the difference between the turbine inlet temperature and the outdoor temperature is maintained at DT2. The turbine and compressor each have an isentropic efliciency of $$100\%$$. --Given Values-- DT $$(\mathrm{K})=15$$ DT2 $$(\mathrm{K})=18$$ Cooling Capacity: $$\mathrm{Qh}(\mathrm{kW})=50$$ Pressure ratio: $$r\mathbf{p}=3.2$$ a) Determine the specific enthalpy $$(\mathrm{kJ}/\mathrm{kg})$$ at the compressor inlet. Your Answer $$=$$ b) Determine the relative pressure at the compressor inlet. Your Answer $$=$$ c) Determine the relative pressure at the compressor exit. Your Answer $$=$$ d) Determine the specific enthalpy (kJ/kg) at the compressor exit. Your Answer = e) Determine the specific enthalpy $$(\mathrm{kJ}/\mathrm{kg})$$ at the turbine inlet. Your Answer = f) Determine the relative pressure at the turbine inlet. Your Answer $$=$$ g) Determine the relative pressure at the turbine exit. Your Answer = h) Determine the specific enthalpy $$(\mathrm{kJ}/\mathrm{kg})$$ at the turbine exit. Your Answer $$=$$ i) Determine the mass flow rate $$(\mathrm{kg}/\mathrm{s})$$ of the air. Your Answer = j) Determine the net power input $$(\mathrm{kW})$$ required to operate the system. Your Answer $$=$$ k) Determine the coefficient of performance for the system. Your Answer $$=$$