At steady state, air at 102 kPa, 52C and a mass flow rate of 0.45 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. At the duct exit, the pressure of the air is 120 kPa, the velocity is 204.51 m/s,the temperature is 82.25C, and the cross- sectional area is 3 10-3 m. Assuming the ideal gas model, determine the velocity of the air at the inlet, in m/s.