Final answer:
To determine the coefficient of performance, mass flow rate, work input, and entropy change for the ideal gas refrigeration system, we can use equations based on the Carnot cycle.
Step-by-step explanation:
In order to determine the coefficient of performance (COP) for the refrigeration system, we can use the equation: COP = Qc / W, where Qc is the heat extraction from the cold reservoir and W is the work input to the system. Since the system operates according to the Carnot cycle, which consists of two isothermal processes and two adiabatic processes, we can use the equation: COP = Tc / (Th - Tc), where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir. In this case, the temperature of the cold reservoir is 20°C, so we can calculate the COP using the given temperatures.
The mass flow rate of air through the system can be determined using the equation: m = rho * Vdot, where m is the mass flow rate, rho is the density of air, and Vdot is the volume flow rate. The volume flow rate can be calculated using the equation: Vdot = Qdot / Cp, where Qdot is the heat extraction rate from the cold reservoir and Cp is the specific heat capacity of air.
The work input required for the process can be calculated using the equation: W = Qh - Qc, where Qh is the heat input to the system.
The entropy change of the air during the refrigeration cycle can be determined using the equation: delta S = Qc / Tc - Qh / Th, where delta S is the entropy change, Qc is the heat extraction from the cold reservoir, Tc is the temperature of the cold reservoir, Qh is the heat input to the system, and Th is the temperature of the hot reservoir.