Water, with a viscosity of 0.0013 Pa.s, flows at the rate of 10 litres/sec through a 100 mm bore pipe of absolute roughness 0.045 mm and length 150 m. The pipe rises by 10 m along its length. Determine: (a) the friction factor for the pipe, the head loss due to friction only, (c) the total head required for pumping liquid up the pipe. (d) the pump power necessary to drive the water through the pipe