A $30\%$ glycol solution $($p $=67\mathrm{.}2$ Ibm$/$ft$3,$ v $=6\mathrm{.}28$ x $10-5$ ftsec$)$ flows out of a centrifugal chiller at $289$ gal$/$min$.$ The glycol solution flowsthrough $50$ ft of $2-$in$.$ I.D$.$ steel pipe before reaching a plate heat exchanger. The pipeline contains a swing check valve, three fully opened globe valves, and four $90\backslash$deg standard elbows. All fittings are soldered $($similar to flanged$).$ Find the pressure loss between the chiller and the plate heat exchanger.