For the hydraulic system shown below, where the pump has $\backslash (\backslash$mathbf$\{30$ ~ c c$\}/\backslash$mathrm$\{$rev$\}\backslash )$ displacement and driven with $1000$ rpm with $0,90$ volumetric and $0,8$ mechanical efficiencies, The system pressure is $120$ bar, $2"(50\mathrm{.}8$ mm $)$ cast steel piping, globe valves are fully opened with the lengths and diameters shown in the figure. Kinematic viscosity is $\backslash (\backslash$mathbf$\{0,000105882$ ~ m $2/$ s $.$ ~ $($ ~$\}25\backslash )$ points$)$

i$)$ Calculate the total system Pressure loss in piping

ii$)$ Determine the motor torque and speed if the motor displacement is $\backslash (20\backslash$mathrm$\{$cc$\}/\backslash$mathrm$\{$rev$\}\backslash )$

iii$)$ Calculate the system efficiency, Motor Power$/$ Pump Power.