Quantifying solubility of gasses in water

I'm trying to quantify the amount of hydrogen that will be in a volume of water after bubbling 10% H2/90% N2 through it. The amount in the water should equilibrate after a certain amount of time to a somewhat static value, but I'd also like to compensate for changes in altitude and temperature, considering gas solubility changes with those factors. I've looked into Henry's Law and Ideal Gas Law, but can't determine what equilibrium amount will exist in the water. Any ideas?