$2-$phase reaction conducted in a $200-$L pilot plan reactor gave the best results with the agitator speed set at $200$ RPM$.$ The agitator has a pitch$-$blade turbine impeller $($Np $=1\mathrm{.}4)$ with a diameter of $0\mathrm{.}4-$m$.$ The average density of the

reaction mix was determined to be $0\mathrm{.}9-$gm$/$cm$3$ and viscosity is $0\mathrm{.}001$Pa$.$s$.$

What is the estimated power draw of the impeller motor? If this reaction were to be scaled up to a $10-$m$3$ reactor, what would the power draw be for the plant reactor? Confirm turbulent regime, assume dynamic scale$-$up and $80\%$ motor efficiency. $($P$=$Np$($pN$^3$d$^5)$