Problem Statement:

A pipeline system is constructed to take water $\backslash (\backslash$left$(-30^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash$right$)\backslash )$ from a lake and to deliver it to a tower using a pump, as shown here in below. Water is taken $1$ m below the surface of lake. The pipeline is made of plastic material having $1$ inch in nominal diameter $(\backslash (33\mathrm{.}7/3\mathrm{.}25\backslash$mathrm$\{$~mm$\}\backslash )).$ The pump is placed on the ground level and supplies $12$ mWH $($meter Water Height$)$ pressure energy to the system. The volumetric flow rate in the pipes is measured as $\backslash (3\mathrm{.}5\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$h$\}\backslash )$ and frictional losses are $0\mathrm{.}1$ mWH in each meter of the pipe length. The storage tank is closed to the atmosphere, so a vapor pressure exists above the liquid level. The heights and pipe lengths are given in the Figure.

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Points are shown as red circles and text in red:

Point $1$: is just the outside of the pipeline, which is $1$ n below the lake surface.

Point $2$: is the inlet of the pipeline, which is $1$ m elow the lake surface,

Point $3,4,5$: are shown in the Figure.

Point $6$: is at the exit of the pipeline.

Point $7$: is just the outside of the pipeline.

A$.$ Calculate the kinetic energies, potential energies, pressure energies $($in terms of absolute pressure$),$ the frictional losses and total energies at each point given in the Figure $($You have to show any calculation, then fill in the table; details of calculations are necessary to evaluate the values that you gonna to plug$-$in the table.$).$

B$.$ What is the water velocity at the exit of the pipeline at Point $7?$

C$.$ Can water flow from the lake $($Point $2)$ to the inlet of the storage tank $($Point $6)$ without pump? Explain the reason by considering static conditions?