I recently replaced my gas dryer with an electric condensing washer/dryer combo unit so I have an external vent (3.5" vertical) in my apartment that I no longer use.

Assuming it was appropriately cleaned could I use it to vent fumes from a range hood?

I believe the current recirculating microwave hood (GE XL1800) can be adapted for external venting. I would need about 10ft of ducting with 3x 90 degree turns to reach the vent. Would an additional blower also be required somewhere?

Just brainstorming...