Seal off the chimney chase with sheet metal and or non combustible caulk.
Bathroom fan insulation attic.
This is much easier to do if you have attic access because if you don t you usually have to remove some ceiling drywall and run the ducts along a joist.
The building code requires a bathroom exhaust fan to vent outside the building so installation of a new bathroom fan necessarily involves installation of ductwork.
In un conditioned space such as an attic where otherwise your fan duct will be exposed to cold attic air in winter use insulated solid metal ducting or insulated flex duct.
If you see that your duct isn t insulated at all pick up duct insulation at the home center.
Bathroom vent fan ductwork insulation.
If bath fan ducting isn t properly insulated the moist air from your house will condense inside the duct.
While insulating you can make some mistakes.
The first step is to head to the attic.
Insulate your attic access door hatch with weatherstripping and foamboard to r10.
To avoid mistakes not running it at all consider installing switches with built in timers.
Caulk foam seal all penetrations into the attic space ie duct chases plumbing chases wiring electrical boxes from lights down below.
Insulate the bathroom exhaust vent fan ducts.
You may find that the insulation simply needs to be refastened.
Options for venting a bathroom exhaust fan include best to worst.