Question $4(10$ Marks$)$

A piping system for supplying heavy fuel oil at $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ is arranged as shown below. The bottom leg of the ee is normally capped, but the cap can be removed to clean the pipe. The tee type is standard tee with low through branch. Assume the friction losses in the cap are negligible.

a$.$ Compute the energy loss as $\backslash (0\mathrm{.}08\backslash$mathrm$\{$m$3\}/\backslash$mathrm$\{$s$\}\backslash )$ flows through the tee.

b$.$ Calculate the difference in pressure between points $1$ and $2.$