1. Understanding the Structure of Hydrogen Gas
* Hydrogen gas exists as a diatomic molecule (H₂), meaning two hydrogen atoms bond together.
2. Molar Mass
* The molar mass of hydrogen gas (H₂) is approximately 2 g/mol (1 g/mol per hydrogen atom x 2 atoms).
3. Calculating Moles
* Divide the mass of hydrogen gas by its molar mass to find the number of moles:
* Moles of H₂ = 1 g / 2 g/mol = 0.5 mol
4. Avogadro's Number
* Avogadro's number tells us the number of particles (atoms, molecules, etc.) in one mole of a substance. It's approximately 6.022 x 10²³ particles/mol.
5. Calculating Atoms
* Multiply the number of moles of hydrogen gas by Avogadro's number to find the number of H₂ molecules:
* Number of H₂ molecules = 0.5 mol * 6.022 x 10²³ molecules/mol = 3.011 x 10²³ molecules
* Since each H₂ molecule contains 2 hydrogen atoms, multiply the number of molecules by 2 to get the total number of hydrogen atoms:
* Number of hydrogen atoms = 3.011 x 10²³ molecules * 2 atoms/molecule = 6.022 x 10²³ atoms
Therefore, there are approximately 6.022 x 10²³ hydrogen atoms in 1 gram of hydrogen gas.
