A Boot Strap Cooling system of 10 TR capacity is used in an aeroplane. The ambient air pressure and temperature are 0.85 and 200C bar respectively. The pressure of air increases from 0.85 bar to 1 bar because to ramming action of air. The pressure of air discharged from the main compressor is 3 bar. The discharge pressure of air from auxillary compressor is 4 bar. The isentropic efficiency of each of the compressor is 80% , while that of turbine is 85%. 50% of the enthalpy of the air discharge from the compressor is replaced in first heat exchanger and 30% of the enthalpy of air discharged from the auxillary compressor is replaced in the second heat exchanger using rammed air. Considering ramming action to be isentropic, the required cabin pressure of 0.9 bar and temperature of air leaving the cabin not more than 200C, determine power required and the COP of the system.