Your bator RH is too low, adding water will fix this. Experimenting adding water to containers with different surface areas until you hit the level you want (40% per your statement) is all you need to do. This is the using observation as a guide Miran was speaking about. Since you have posted this "question" on a Chicken forum in an area about incubating their response is very reasonable, it may not answer your specific question but would solve problems relating to incubating - the very purpose of this forum page.
Please let me try again.
My bator RH, as described in my initial post, is without any water, eggs, or anything other than the bare metal trays. That trial was an attempt to see the lowest possible RH the bator would provide. However, the bator comes with a single water tray and a cover for that tray (it covers some ~80% of the water surface), and a wick to put in that tray. So, if I put the tray in with the cover and no wick, I get an RH of 53% in the bator, no lower. That RH is too high, not too low.
Yes it is "maths" and "science". Miran raised some very valid points here about there been lots of variables, which will increase further in number when adding eggs which all their variables in size, surface area, shell thickness, mass and permeability among others.
I apologize if my initial question was not as obvious as I thought it was. Take a given intake air RH and temperature, and only change the temperature, you should get to a reasonably known RH value. I didn't...and I was asking if anyone could say why. To say there are a lot of variables isn't answering why, its merely waving hands and saying; "you can't determine this", imo.
Well, its a given that if you have too high an RH in the room the bator is in, there will be no way to get a reasonable RH in the bator. And while RH isn't the goal, being able to achieve a reasonable egg weight loss requires being able to control the RH sufficiently. If the RH is too high, eggs will not lose sufficient moisture...period. Perhaps most people are struggling to provide sufficiently high RH to achieve proper weight loss...which you can solve by adding water...but my problem is that I am worried I will not be able to achieve sufficient low RH, and provide an environment for the eggs to loss an adequate amount of moisture. Hence my tests before placing eggs.
Anyway the incorrect statement above gives insight into why your calculations fall over. So to answer your "question" (if I have identified it correctly), there is something changing between the room and the bator due to the differences in RH which create an effective concentration gradient. I.E the RH outside the incubator is high and inside low and the water molecules move from an area of high concentration to low concentration. I hope that helps.
I'm sorry, but no, that explanation means nothing to me. Could you elaborate on that thought?
In the future maybe you should address your own short comings before been so critical of others, or better yet just more understanding, especially of people that take time out of their days to help you.
I posed the question to address my shortcomings, my ability to comprehend everyone else's feelings in text may not be good, but it has nothing to do with a C$1300 bator defying the laws of physics.