Air at 105 kPa and 25°C flows from a 7.5-cm circular duct into a 22.5-cm circular duct. The downstream pressure is 6.5 mm of water higher than the upstream pressure. a. Determine the average air velocity approaching the expansion (in m/s). b. Determine the volumetric flow rate (in m3/s). c. Determine the mass flow rate (in kg/s).

Air at temperature 26 °C and pressure 101.4 kPa enters the diffuser steadily with a velocity of 190 m/s. The inlet area of the diffuser is 0.6m2. The air leaves the diffuser with nearly zero velocity. Determine the mass flow rate in kg/s of the air. Use R=0.287 kJ/kgK. Please keep one decimal for the final answer.

Water at 940 kPakPa , 25∘C∘C enters a 1-mm-diameter horizontal pipe with a steady velocity of 19 m/sm/s . At the exit the pressure drops to 860 kPakPa due to viscous resistance. Assuming steady-state flow, determine the rate of heat transfer (Q˙Q˙) necessary to maintain a constant specific internal energy (uu).

An air pump is used to fill a rigid gas bottle with air. The pump is connected to the gas bottle via a rigid pipe. The pump consists of a piston of internal diameter d=0.08 m and a cylinder with a stroke L=0.3m. Air enters the pump through an orifice located at the bottom of the cylinder to raise the pressure in the pump to atmospheric pressure. Air, drawn into the pump through the orifice, mixes completely and adiabatically with the cylinder contents. A valve allows the bottle's refill. The valve opens when the pump pressure is equal to the gas bottle. The valve is always closed when the pump pressure is below the gas bottle pressure. Pressure drop across the valve can be neglected. The bottle, the connecting pipe and the pump are thermally insulated. Air in the pump and connecting pipe undergoes isentropic compression and expansion processes. I F-one The working fluid (air) can be considered a perfect gas with R=287 J/KgK, cp=1005 J/KgK and y=1.4. Initially the piston is located at…