A pump is installed in a $1000-m$ pipeline to raise water $(20C)$ from reservoir A with a water surface

elevation of $265m$ to reservoir $B$ with a water surface elevation of $665m.$ The $90-cm$ diameter pipe

$0\mathrm{.}18mm)$ has a design discharge of $2\mathrm{.}06\frac{m^3}{sec}.$ The suction line is $26-m$ of the $1000-m$ length. Minor

losses account for a $K=0\mathrm{.}5.$

a$)$ If the pump has a rated NPSH $=6\mathrm{.}33m,$ determine the allowable height the pump can be placed

above the supply reservoir to avoid cavitation.

b$)$ If tank $A$ is a pressurized tank with a gauge pressure of $130$kPa, what is the new allowable

height for the pump?