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So we have 1 input, 6 outputs: O1-1, O1-2, O2-1, O2-2, O2-3, O3. You put 18 bubbles in the system.
1st stage:
It all depends on how many outputs you want to split the flow into. 2 or 3 are easy. 4 should be split twice (once in 2, and those in 2; 2x2 = 4). 6 => /2 and /3. 9 => /3 and /3.
First and formost, the Gas Pump pulls in 500 g/s while active. If you have a concentration of ~3 kg per tile, then you're fine for a while. But once that saturation depletes, your Pump will only be pulling in units of 100 g or less, even if there are plenty of tiles in the vicinity of the Pump that are still in the 3 kg range. In order for gases to redistribute quickly enough to offset that 500 g/s, you must be at a rather significant over-pressurization, which is not sustainable given the current Oxygen generation tools. Both Oxidyzers and Electrolyzers will shut off at ~ 2 kg of atmosphere, which does not push enough pressure towards the Gas Pump.
Second, if we discount that issue, there is still another problem. Mathematically, Electrolyzers produce too much gas for a single Gas Pump to handle, even running at capacity. You will require 2 Gas Pumps per Electrolyzer. Plus Gas Filters. It very quickly becomes cost prohibitive to run in such a setup, because you have a high scaling power cost, and the sources of "infinite" energy also themselves produce considerable waste products that you then also have to deal with, consuming even more power and other resources.
http://img.ledsplej.net/TODO%20-%20Arkusze%20Google-2017-10-1.png
The best for oxygen generation, when it comes to resources used, are Algae Terrariums with light. Light increases oxygen generation by 10% without increasing Algae spending, so 40 => 44.
- 1 terrarium is sufficient for 0,4 dupes
- 1 terrarium with light is sufficient for 0,44 dupes
- 5 terrariums with light is sufficient for 2,20
Of course there would have to be many of them, but the savings on Algae is massive. 1,47 O2 generated per 1 Algae, meanwhile Algae Deoxydizer generates 0,91 of oxygen/1 Algae.
Ps. Don't waste Slime on mushrooms ;)
My base of 10 uses 5 electrolyters and 1 air pump with 1 filter if I feel like it. I got power to spare to be able to cool my base against heat.
For an oxygen rooms, most go for 2 air pumps and 2 filters PER electrolyter. As you get more dupes, power will become an issue unless you know wtf you are doing.
Also to save yourself from any heat issues build the whole setup in an ice biome using wolframite and non insulated walls, given the distance of ice biomes in the oil update and the fact that gasses in insulated pipes still change temps it should be pumping in to your base at a decent low temp but not below freezing unless the distance is really short.
If anything it's more like 2+ electrolyzers per single pump the issue though is how fast can your pumps pull the O2 away to keep your electrolyzers working since air pressure doesn't shift all that quickly unless it's trying to fill a vacuum so more pumps = faster pressure movement and more space to keep your electrolyzers working and more over all O2 that your pumps grab.
In my current setup I have 4 pumps spead around the top feeding two lines and two filters and 7 electrolyzers side by side along the bottom of a square ish shaped room in an ice biome, the top half is med to low pressure with some vacuum and the bottom is med to high but as long as the lines aren't full the 4 pumps will nearly cap the pressure in both pipe lines per packet and the electrolyzers rarely stop working.
It's a bit over kill since I only have 12 dups and all the o2 pipes are backlogged due to overpressure in the base but since power isn't usually an issue you can build a system like this then forget about O2 being an issue.
Lately I've been building a cap on top of my base and just build the Electrolyzers directly in my base. Filter out the H from the top of my base. it's not as clean but it's power saver. It's a little trickier to cool my base but a few wheezewarts do the trick, plus smart placement of the electrolyzers.
http://steamcommunity.com/sharedfiles/filedetails/?id=1160524689
Near the bottom of my base is my 4 electrolyzers. Under that are 2 skimmers. The gases self separate from each other naturally w/o any effort from me. The air pump is on the upper left since that is where all the hydrogen will eventually go to as time allow it.
http://steamcommunity.com/sharedfiles/filedetails/?id=1160524752
This is my temp. By using the hydrogen i made, i create a cooling system powered by 3 thermal regulators to keep my lower half cool. Any extra hydrogen, i send it to 3 hydrogen gens to burn it out fast.
I think the way pressure works in this game and partly ocd is why I tend to build closed systems and aim for maxing pressure with as little mixed gasses as possible.
This is an example of a closed system with vents:
http://steamcommunity.com/sharedfiles/filedetails/?id=1160536239
http://steamcommunity.com/sharedfiles/filedetails/?id=1160536455
http://steamcommunity.com/sharedfiles/filedetails/?id=1160536312
The actual O2 room setup:
http://steamcommunity.com/sharedfiles/filedetails/?id=1160536386
The presure movement is only part of the problem. In order to keep the Electrolyzer working non-stop, you have to ensure the pressure near it never reaches 2 kg. But the Electrolyzer itself will produce a total gas output of 1 kg -- 888 g/s of Oxy and 112 g/2 of Hydro. At the same time, a Gas Pump is able to absorb 500 g/s of any single gas. Per second, 1 Gas Pump is already behind a single Electrolyzer by 388 g, just looking at the Oxy. You can almost occupy 2 of them from the single Electrolyzer.
Mathematically, it won't work to have a single Gas Pump for a single Electrolyzer, no matter how small a room you perform this in (attempting to minimize the pressure movement problem).
Now that players know that hydrogen always end up the roof of the base, just make a tall enough ceiling and you can nab the hydrogen cheap and easy.