Given a pump system that transports propylene downstream from a tank, the pipe at the pump outlet has an inner diameter of $77\mathrm{.}9$ mm$,$ and the fluid velocity is $2$ m$/$s$.$ The pump delivers $1100$ W of power to the propylene fluid. Assuming the height from the reference point to the pump outlet $($z$2)$ is $1\mathrm{.}4$ m and z$1$ is $4$ m$,$ what will be the gauge pressure value shown in the diagram? $($Assume all frictional losses are negligible.$)$