The compressed air requirements of a manufacturing facility are met by a 150-hp compressor...

The compressed air requirements of a manufacturing facility are met by a 150-hp compressor located in a room that is maintained at 20°C. In order to minimize the compressor work, the intake port of the compressor is connected to the outside through an 11-m-long, 20-cm-diameter duct made of thin aluminum sheet. The compressor takes in air at a rate of 0.27 m3/s at the outdoor conditions of 10°C and 95 kPa. Disregarding the thermal resistance of the duct and taking the heat transfer coefficient on the outer surface of the duct to be 10 W/m2 · °C, determine (a) the power used by the compressor to overcome the pressure drop in this duct. (b) the rate of heat transfer to the incoming cooler air, and (c) the temperature rise of air as it flows through the duct.