A diffuser in a jet engine is designed to decrease the kinetic energy of the air entering the engine compressor without any work of heat interactions. Calculate the velocity at the exit of a diffuser when air at 100 kPa and 30°C enters it with a velocity of 350 m/s and the exit state is 200 kPa and 90°C. For calculation, assume the specific heat is constant at the average temperature of the inlet and the exit.