Instructions: Please show all your steps clearly and state your assumptions. Problem 1. Air flows past an object at 500 fps. Determine the stagnation pressures and temperature at elevations of sea level. Problem 2. Natural gas consisting essentially of methane is to be transported through a 20 inch ID pipeline over flat terrain. Each pumping station increases the pressure to 100 lb/in abs. and the pressure drops to 25 lbf/in abs at the inlet to the next pumping station 50 miles away. What is the gas flow rate measured at 60 F and 30 inch Hg pressure. Problem 3. A divergent convergent nozzle has the proportions shown in Table below. Air (y =1.4, M = 29) enters the nozzle from a reservoir in which the pressure is 18 atm abs and the temperature is 500 K. Plot the pressure, temperature and the Mach number versus the length of the nozzle when (a) the flow rate is a maximum without shock and with subsonic discharge and (b) the flow is isentropic and the discharge is supersonic. Length Diameter Length Diameter Reservoir 0 8 Throat 0.30 0.25 0.025 0.875 0.40 0.28 0.050 0.700 0.50 0.35 0.075 0.575 0.60 0.45 0.100 0.500 0.70 0.56 0.150 0.375 0.80 0.68 0.200 0.300 0.90 0.84 Receiver 1.00 1.00 Problem 4. Air at 25 C enters a section of 2 inch Schedule 40 steel pipe at a gauge pressure of 310 k N/m and a flow rate of 1200 Kg/h. Assuming isothermal flow, what is the pressure drop in 100 m of pipe?