2H2 + O2 → 2H2O
From the equation, we can see that 2 molecules of hydrogen react with 1 molecule of oxygen to produce 2 molecules of water.
The molar mass of hydrogen (H2) is 2.016 g/mol, while the molar mass of water (H2O) is 18.015 g/mol.
Given that we have 1.95 × 10^24 hydrogen molecules, we can calculate the number of moles of hydrogen:
Number of moles of H2 = (1.95 × 10^24 molecules) / (6.022 × 10^23 molecules/mol) = 3.24 mol
Since 2 moles of hydrogen produce 2 moles of water, the number of moles of water produced will also be 3.24 mol.
Therefore, the mass of water produced can be calculated using its molar mass:
Mass of water = (3.24 mol) × (18.015 g/mol) = 58.5 g
Hence, 1.95 × 10^24 hydrogen molecules can be used to produce 58.5 grams of water.