ETA: I think people are assuming this is for the kettle, rather than the fermenter.
Quite right, the chiller that I'm building is going in a 110g plastic conical fermenter to maintain temp not for rapid cooling.
I am doing the same thing.
I use 100ft of 1/2" SS tubing for 350 Gal fermenter.
You have to use SS tubing.
It works quite well.
For your 110 Gal fermenter 50 ft of 1/2" should be enough.
If you have more questions about this let me know.