We have good membrane technology now. Lay it on the water surface, so only the H2 gets through. Does oxygen dissolve more readily in water than does hydrogen?

We have good membrane technology now. Lay it on the water surface, so only the H2 gets through. Does oxygen dissolve more readily in water than does hydrogen? If so, you just keep a continuous flow of water so it doesn't saturate before it moves on, but the hydrogen still bubbles out. I doubt you want the water hanging about, heating up, anyway.