My community is installing a commercial kitchen vent fan over a stove that is rated at 16 sones (company specs. from 5ft. away in open air). This fan is pulling air 1250 cu ft min through a rectangular metal duct:8" x 12" crosssection, ~40' length, suspended from the wooden framing on rubber mounts, two 90° turns and two 45° turns. I want the resulting sound in the kitchen near the stove to be quiet. The possiblity of a grease fire means that all the ductwork joints are welded and I cannot have muffler vents inside the duct nor can I insulate the inside of the duct. I can search for a quieter fan if that is necessary. Is there a way to calculate or estimate the propgation of noise through such a system?