Samc - Covering a pot isn't the same as sidewalls because the sidewalls are very hot and will further evaporate this condensation. Ever have a boil over? It's a ***** because all the stuff burns to the sidewall, not to mention everything else, after it bubbles up (i.e. it loses liquid to evaporation).
This is way too much info for such a minor topic, but people are mixing a lot of terms:
Evaporation rate - is a ratio of the volume of water lost to initial volume used over a given period of time. It should be a percentage or ratio. NOT A VOLUME. It should also indicate how long your boil was. Otherwise it's useless, or it's not a rate.
Evaporation Loss - The total volume lost to evaporation. For relevance in brewing, we should note the boil time too.
The evaporation rate WILL change directly with different batch sizes. It will even change slightly with the same batch sizes - because several variables will change as we brew from batch to batch. We can't control air pressure for example, nor should we try, but the effects will be negligible on our scale.
If you make 5 gallons and lose 1 gallons that's 20%, but if you make 10 gallons and lose 1 gallon that's only 10%. Ergo - VOLUME CHANGES THE RATE OF EVAPORATION. But all else being equal it won't change the actual Evaporation LOSS.
So actual evaporation rate on a system IS primarily related to volume. IT WILL CHANGE WITH DIFFERENT BATCH SIZES. But the total evaporation loss will not change much.
For our scale
Of all the things on a homebrew scale, boil time, surface area (i.e. changing kettles) and boil intensity are going to matter most from batch to batch. Ambient temperature matters too - if you boil outside in Ohio you'll different amounts in the summer than you will in winter because there is such huge temp swings there. I can double my rate, which is usually 10% on 6g batch, by cranking up the boil.
If you don't believe it try a not-so scientific experiment:
1. Fill about half your kettle (or some other vessel) with water.
2. Measure the volume before you boil it.
3. Bring it just to a boil, so the top is just turn over but not 'rolling'
4. Boil for 15 minutes.
5. Measure.
6. Repeat the exact same steps but fill the vessel with twice the volume of water.
7. For each batch - subtract the volume final volume from the initial volume - that is your total loss - not your rate, yet
8. For each batch, divide your total loss by the initial volume multiply x 4. That is your rate of evaporation per hour, for each batch at different volumes. You will find they are roughly equal. They will certainly not be double. This is pretty much exactly what we do when we brew, only with bigger volumes.