Air flows through a refrigeration cycle consisting of three processes: Process 1-2 is an isothermal expansion from a pressure of 6.25 bar; Process 2-3 is an adiabatic compression to a temperature of 550 K and a pressure of 6.25 bar; Process 3-1 is a constant pressure cooling. (a) Determine the temperature at state 1. (b) Determine the coefficient of performance of the cycle. Hint: Process 1-2 is the heat input from the cold state process for the cycle.