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