In a polymerization operation, a liquid mixture $($density$,1650+/-60$ kg$/$m$3,$ viscosity, $=800+/-5$mPa.s$)$ is agitated in a tank by a propeller mixer with a diameter $($D$)$ of $0\mathrm{.}5+/-0\mathrm{.}05$ m$.$ You are provided data for the power number $($Np$)$ versus Reynolds number $($Re$)$ for the propeller below

in Figure Q$3.$ If the impeller rotation rate $($N$)$ is estimated at $15+/-1$ rpm$,$

$($i$)$ What is the expected value of the power $($P$)$ of the motor required to drive the impeller?

$($ii$)$ What is the error in the estimate of the power? Show all steps.Figure Q$3$ Data: $($Note that the scales on the plot are log$)$