Describe the events that occur as water molecules start in hot bath water and end up on the surface of the bathroom mirror.

This happens because of evaporation and condensation. The warm water speeds up the evaporation process. This means that water molecule escapes from the liquid phase to the vapor phase. The mirror is in a relatively cooler temperature compared to the hot bath enough to condense the vapor. When the vapor is in contact with the mirror, condensation happens and turns the vapor molecules into droplets of liquid on the mirror surface. 

Ithink this is what you meant. the temperature at which a liquid begins to boil is called the boiling point. the boiling point of water is 212°f or 100°c.  and at that point will start to turn into steam (gas)