A pump discharge line consists of X m long $0\mathrm{.}5$ m diameter cast iron pipe with three $45$o

elbows, two

swing check valves $($open$),$ three ball valves $($open$),$ and two return bends. Compute the head loss $($hL$)$

in m and Pa through the line at a velocity of $1\mathrm{.}0$ m$/$s$.$ Please use Darcy$$s equation and determine f

from Moody$$s chart. $($Density of water $=998$ mg$/$m$3$

$,$ viscosity $=0\mathrm{.}001308$ Poise$)./5$

Rule for X: X is the last $3$ digits of your student number.

X $=877$