Problem $2$:

$2\mathrm{.}14.$ Water leaves a treatment plant in a $500-$mm$-$diameter ductile iron pipeline at a pressure of $600$kPa and

at a flow rate of $0\mathrm{.}50\frac{m^3}{s}.$ If the elevation of the pipeline at the treatment plant is $120m,$ estimate the

pressure in the pipeline $1km$ downstream, where the elevation is $100m.$ Assess whether the pressure

in the pipeline would be sufficient to serve the top floor of a ten$-$story building $($approximately $30m$

high$).$

$($The pressure in the building needs to be $5-20$ psi. Use this

value to compare.$)$

Solution: