Please show all work.

A jet ejector pump is shown the figure below. A high speed stream (QA) is injected at a rate of 50 gpm through a small tube 1 in. in diameter into a stream (QB) in a larger, 3 in. diameter, tube. The energy and momentum are transferred from the small stream to the larger stream, which increases the pressure in the pump. The fluids come in contact at the end of the small tube and become perfectly mixed a short distance downstream (the flow is turbulent). The energy dissipated in the system is significant, but the wall force between the end of the small tube and the point where mixing is complete can be neglected. If both streams are water at 60F, and Q8 = 100 gpm, calculate the pressure change between points 1 and 2. SA A' A, QA P P2