A pilot-plant reactor, a scale model of a production unit, is of such size that I g charged to the pilot-plant reactor is equivalent to 500 g of the same material charged to the production unit. The production unit is 2 m in diameter and 2 m deep and contains a six- blade turbine agitator 0.6 m in diameter. The optimum agitator speed in the pilot-plant reactor is found by experiment to be 330 r/min. 

(a) What are the significant dimensions of the pilot-plant reactor? 

(b) If the reaction mass has the properties of water at 70°C and the power input per unit volume is to be constant, at what speed should the impeller turn in the large reactor? 

(c) At what speed should it turn if the mixing time is to be kept constant? 

(d) At what speed should it turn if the Reynolds number is held constant? 

(e) Which basis would you recommend for scaleup? Why?