two others:

temperature and color

temperature and distance

As stated the relationships above are

underdetermined, similar to my original prompt. Adding context can make it solvable, but then the context should be provided, or if assumed, clearly listed.

For instance temperature and colour can be related via the

black body radiation theory. But this theory is not directly applicable AFAIK to the colour of light emitted by an LED. Also, one needs to distinguish between emitted and reflected light.

This particular - the steam - equation is called the Antione equation and AI came up with the correct answer

You did not state your specific prompt that lead to this. Of course even when asking for a relationship between temperature and pressure for water specifically, one needs to understand the limitations of the suggested solution:

* The

Antoine equation has a small range of accuracy

* It is applicable only for the saturated vapour/liquid equilibrium region

* It is based on simplifying assumptions of the underlying thermodynamics