Liquid acetone is pumped from a ground level storage tank to the top of a pressurized reaction vessel at a flowrate of $6\mathrm{.}5k\frac{g}{s}.$ The pump is rated as $2\mathrm{.}0hp(1\mathrm{.}49kW)$ and it operates with approximately $70\%$ efficiency. The storage tank is maintained at atmospheric pressure and the reaction vessel operates at $3$ atm $($absolute$).$ At the inlet to the reaction vessel, the fluid velocity is $5\frac{m}{s}.$ If the liquid level in the tank is controlled to be at least $0\mathrm{.}5m,$ what is the maximum height for the reaction vessel?

Reaction

Vessel