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Not much!

Some of it, a tiny amount, might bond to the water molecules, but as water already has its standard H2O composition, most extra hydrogen will simply bubble out, hydrogen being lighter than water.

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The solubility of hydrogen gas in water at 0oC is 0.0019 grams of hydrogen per kilogram of water. At 60oC, the solubility is 0.0012 grams of hydrogen per kilogram of water. That is a tiny amount that will dissolve in the water. The rest would simply bubble out as the previous answerer said. Also, most likely, the water would be already saturated with hydrogen since it was in contact with the atmosphere, which contains hydrogen; so unless you took steps to purge the hydrogen from the water to get water not already saturated with hydrogen, all of the added hydrogen would bubble out since the water would be already saturated with hydrogen.

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