Water (density=$1000\:kg\:m^{-3}$) is pumped at a rate of $36\:m^{3}/h$, from a tank $2\:m$ below the pump, to an overhead pressurized vessel $10\:m$ above the pump. The pressure values at point of suction from the bottom tank and at the discharge point to the overhead vessel are $120\:kPa$ and $240\:kPa$, respectively. All pipes in the system have the same diameter. Take acceleration due to gravity, $g=10\:m\:s^{-2}$. Neglecting frictional losses, what is the power (in $kW$) required to deliver the fluid?
- $1.2$
- $2.4$
- $3.6$
- $4.8$