In the previous problem, a 10-km-long section of the pipeline is replaced during a repair process with a pipe with internal diameter of 0.42 m. Determine the total pumping power required when using the modified pipeline. The total pipeline length remains 280 km.

Data From Problem 13.4

A 280-km-long pipeline connects two pumping stations. If 0.56 m³/s are to be pumped through a 0.62-m-diameter line, the discharge station is 250 m lower in elevation than the upstream station, and the discharge pressure is to be maintained at 300,000 Pa, determine the power required to pump the oil. The oil has a kinematic viscosity of 4.5 × 10^-6 m²/s and a density of 810 kg/m³. The pipe is constructed of commercial steel. The inlet pressure may be taken as atmospheric.