An experimental model is being prepared based on the requirements of a prototype pump that is going to be used in a chemical plant. The prototype should deliver 0.8 m3 /s of benzene with a pressure increase of Δp = 320 kPa. What should the volume flow rate and pressure increase produced by the model be to properly satisfy similarity between prototype and model? The model is one–sixth the size of the prototype. If the model requires a power of P = 900 kW to operate, what would the power requirement of the prototype be? The prototype and the model will be using the same fluid. The functional relation describing this problem is P = f (rho, μ, Q, Δp, l). Select your repeating variables considering the three relevant factors of similitude analysis: Geometry (l), Properties of the material (rho), and external effects (Q).