The influent pump station $($IPS$)$ shown in Figure $1$ is conveying water from the river to the treatment plant, if the pipe is $1,800$ feet long and has a diameter of $10$ inches and has the fittings shown below, determine the head losses at the following flows:

Use the Hazen$-$Williams formula $($use C$=120)$:

$h_L=0\mathrm{.}002083L(\frac{100}{C}{)}^{1\mathrm{.}85}\frac{Q^{1\mathrm{.}85}}{D^{4\mathrm{.}8655}}$

where $h_L=$ head loss, feet

$L=$ length of pipe, feet

C $=$ coefficient, Table $2$

$Q=$ quantity of flow, gallons per minute

$D=$ diameter of pipe, inches

Minor losses formula:

$h_L=\frac{k{V}^2}{2g}$

where $h_L=$ head loss, feet $($meters$)$

$V=$ velocity, feet per second $($meters per second$)$

$k=$ loss coefficient

$\backslash$table$[[L=,1800,$ft$],[C=,120,],[D=,10,$in$]]$

$\backslash$table$[[,$k$,$Quantity,$\backslash$table$[[$Total$],[$k$]]],[90$ elbow,$0\mathrm{.}75,4,],[$Gate valve,$0\mathrm{.}48,1,],[$Check valve,$3\mathrm{.}7,1,],[$Exit$,1,1,],[,,$Total k$,]]$