Natural gas, compressed to P 1 = 100 psia then cooled to T 1 = 70 F, flows in a cross-country…

Natural gas, compressed to P1 = 100 psia then
cooled to T1 = 70 F, flows in a cross-country pipeline at a velocity
of 40 ft/s. The pipe is smooth and has an inside diameter of 2 ft. To maintain
pressure, pumping stations are established every 10 miles along the route. In
each pumping station, natural gas is compressed to its original pressure and
cooled to its original temperature. Find the pressure drop between each pumping
station and the required pumping power. Assume natural gas as pure methane with
k = 1.3, molecular weight of 16 and kinematic viscosity of 2.61E-5 ft2
/s.