Saturday, 28 December 2019

thermodynamics - Why doesn't hydrogen gas exist in Earth's atmosphere?


The root mean square velocity of hydrogen gas at room temperature is:
Gas constant: R=8.31 J K1 mol1
Molar mass of hydrogen gas: M=2.02×103 kg/mol
v=(3×8.31 J K1 mol1×3002.02×103 kg/mol)12=3356.8377 m/s=3.356 km/s


The escape speed of Earth is 11.2 km/s, which is larger than the root mean square velocity of hydrogen gas. But still, hydrogen gas doesn't exist in Earth's atmosphere. Why? Have I made any mistakes in my calculations?




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