Air at 0.25 bar absolute pressure, 220 k temperature, and velocity 300 m/s (state 1) steadily enters the diffuser of a turbojet engine. air exits from the diffuser at an absolute pressure of 0.48 bar and negligible velocity (state 2). air exiting the diffuser then enters a low-pressure compressor (lpc) where it is compressed to 2.63 bar absolute pressure and 400 k temperature (state 3). air leaving from the lpc flows into a heat exchanger which cools the air to a temperature equal to that at the exit of the diffuser (t4t) heat transfer occurs at the rate of 6805 kw from the heat exchanger to its surroundings. air leaving from the heat exchanger enters a high-pressure compressor (hpc) and it is compressed to 14.4 bar absolute pressure and 400 k temperature (state 5) (a) calculate the temperature (k) of air at the exit of the diffuser. (b) determine the mass flow rate (kg/s) of air through the engine (c) find the total power input (kw) for the lpc and hpc. (d) what is the area (m') and the corresponding diameter (ft) of the diffuser inlet section?