Water is pumped from a reservoir at elevation 100 ft to one at elevation 225 ft. The pipeline connecting the reservoirs is 48 inches in diameter, 15.2 mi long, and made of welded steel. The flowrate in the pipeline is 36.5 million gallons per day (mgd), and the gross efficiency of the pump and motor is 50%. Calculate the daily gross energy consumption of the pump in kilowatt- hours using: (a) the Darcy-Weisbach head loss formula (be sure to explicitly calculate the friction factor f), and (b) the Hazen-Williams equation.

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj