For the system shown in the figure below, estimate the diameter of the pipe if the pressure at

section $2$ cannot exceed $118$ kPa $,$ g$.$ Water at $25\backslash$deg C is discharging through the system at a rate

of $0\mathrm{.}25($m$^(3))/($s$).$ The length of the pipe is $200$ m $,$ and the equivalent sand roughness is $0\mathrm{.}18$ mm $.$

The pump head is given by h$\_($p$)=30-8$Q$^(2).$ The head h$=28$m$.$ Neglect minor losses. $[10]$

Hint: Follow class problem for finding diameter. Use iterative solution. Remember the pipe

continues beyond the exit point.