Speaking as someone with a severely mentally ill mother, please don’t put this young man in the position of being responsible in any way for his father’s well being. I agree with AroundHere that a long hospitalization is far from a given, recovery is long under the best of circumstances, and full recovery and independence is unlikely given the tragic state of our current mental health care system.
It’s very easy to put the son in the position of being a parent of sort to his father, but he must be free to focus on attaining his education and building his own life for the time being. That does not mean he can’t be loving and caring, but caretaking must fall to others.