Let’s suppose that when generating hydrogen, 1% floats away and is lost forever.
Let’s further suppose that all of the world’s energy uses hydrogen combustion as an intermediate step.
According to Wikipedia, world energy consumption in 2005 was 5x10^20 Joules.
According to this article, the combustion of hydrogen yields 700,000 Joules per 5 grams of Hydrogen.
So how much hydrogen would one need to burn to generate enough energy for a year (2005)?
I guess that would be (5 x 10^ 20) Joules * 5 grams of Hydrogen / 7 x10^5 Joules.
That’s about 4 x 10 ^15 grams of Hydrogen or 4 x 10^12 kg of hydrogen.
Since I assumed a 1% loss rate, that means we would lose approximately 4 x 10^10 kg of hydrogen per year.
One obvious source of hydrogen is water, so one can ask how much water that’s equivalent to. The atomic mass of oxygen is apparently about 16 times that of hydrogen. So one would need to electrolyze 18 kilograms of water in order to get 2 kg of hydrogen.
So one would need to electrolyze approximately 4 x 10^11 kg of water to account for hydrogen losses for 1 year. That’s approximately 4 x 10 ^14 cubic centimeters of water.
How much water is in the oceans? According to Wikipeda, it’s about 1.3 x 10 ^ 9 cubic kilometers. That’s about 1.3 x 10^24 cubic centimeters.
So a year’s worth of hydrogen losses is approximately 3 x 10 ^ -10 of the oceans, by my calculation, or less than a billionth.
So it looks to me like we’d be pissing in the ocean, so to speak.
But feel free to correct my math.