A partial oxidation is carried out by bubbling air through an organic solution in a baffled laboratory reactor 12 cm in diameter with a liquid depth of 15 cm. The stirrer is a 6-blade turbine 6 cm in diameter, operating at 1,500 r/min. The solution density is 850 kg/m³; the viscosity is 1.2 cP.

(a) Estimate P_е/V for the laboratory reactor. 

(b) If the maximum practical power input for a large reactor is 2 kW/m³, what stirrer speed should be used for scale-down tests in the laboratory reactor? 

(c) Would P_g/P_e, be changed on scaleup if P_g/V is kept the same?