A particular power generation system operates on the simple ideal Brayton cycle, across a pressure range from 70 kPa to 1.5 MPa. Air enters the compressor at 15 $^\circ$C and enters the turbine at 1400 $^\circ$C. Determine:

(a) the temperature at the exit of the compressor $^\circ$C

(b) the temperature at the exit of the turbine $^\circ$C

(c) the compressor work kJ/kg

(d) the turbine work kJ/kg

(e) the back work ratio %

(f) the amount of heat required kJ/kg

(g) the thermal efficiency of the cycle %