Lubricating oil with a relative density of 0.9 and dynamic viscosity () of 0.05Pas is pumped at a rate of 20L/s from a tank at atmospheric pressure to a storage tank at a pressure of 50kPa (gauge). The increase in elevation between the two tanks is 6m. The system consists of 80mm diameter commercial steel pipe with absolute roughness, & = 0.045mm, and having a total length 60m. The pipe also contains the following fittings: 1 sudden entrance - K factor = 0.5 1 sudden exit - K factor = 1.0 1 gate valve (open) - K factor = 0.2 1 globe valve (open) - K factor = 6.0 15 x screwed sockets - K factor (each) = 0.03 4 x 90 elbows - K factor (each) = 0.6 For the piping system described above, determine: (a) Sketch and fully label your design of the piping system based on the criteria described above; (b) the Static Head; . (c) the Reynold's number; (d) the relative roughness of the pipe; (e) the friction factor (using the Moody formula); (f) the total K factor for the fittings; (g) the total head loss for pipe and fittings; (h) the Dynamic Head; (i) the System Head; (1) the System Head Equation in terms of the volumetric flow rate (k) the Fluid Power; (1) the Pump shaft Power, given that it has an efficiency of 72% at the given flow rate.