One concern that is often overlooked is electricity and water don't mix. I don't Know how close this tank will be to the tub, but...
While most aquariums are run without GFCI, they generally don't have a path to ground so chance of electric shock is minimal. A bathtub however is grounded and always the poteintial for electric shock is always present. Be sure that any aquarium accessories are plugged into a GFCI protected outlet, and test that outlet regularly.
GFCI = Ground Fault Circut Interuptor