An ESP must treat 300,000 acfm and achieve 99% removal efficiency. The ash resistivity (P) is equal to 3x1010 ohm-cm; the plates are 15 feet tall and 6 feet long and are arranged with three (3) sections in the direction of flow; the average pressure drop, AP, is 0. 6 in. H₂O; and the fan/motor efficiency, η, is 70%.
a) Calculate the effective drift velocity, we, in units of ft/min.
b) Calculate the aspect ratio, R.
c) Estimate the total number of plates.
d) Calculate the required fan power in units of hp (horsepower).
e) Estimate the annual cost (for electricity to run the fan/motor) if electricity costs $0. 14/kW-hr and the ESP is operated 6 days per week for 50 weeks per year.