Natural gas enters a 12-in-diameter pipeline at 300 psig and 68 F. The average velocity of the entering gas is 30 m/s. Determine the flow work rate required to push the gas into the duct. Express your result in ft ∙ lbf/s, Btu/hr, horsepower, and kW. Assume the natural gas has the properties of methane. The atmospheric pressure is 14.7 psia.