At steady state, air at 148 kPa, 52°C and a mass flow rate of 0.48 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. At the duct exit, the pressure of the air is 117 kPa, the velocity is 297.09 m/s,the temperature is 82.25°C, and the cross-sectional area is 2 × 10-3 m2. Assuming the ideal gas model, determine the velocity of the air at the inlet, in m/s.

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