How much water, in grams, can be made from
6.82 × 1024 hydrogen molecules?
Answer in units of g
To determine the amount of water, we need to calculate the number of moles of hydrogen molecules in 6.82 × 10^24 molecules of hydrogen.
1 mole of a substance contains approximately 6.022 × 10^23 particles (Avogadro's number).
So, the number of moles of hydrogen molecules can be calculated as:
6.82 × 10^24 molecules / (6.022 × 10^23 molecules/mol) = 11.34 moles
Next, we need to consider the balanced chemical equation for the formation of water:
2H2 + O2 -> 2H2O
From the equation, we can see that 2 moles of hydrogen molecules are required to produce 2 moles of water.
Since we have 11.34 moles of hydrogen molecules, we can determine the moles of water that can be produced:
11.34 moles × (2 moles of water / 2 moles of hydrogen) = 11.34 moles of water
Now, we need to convert the moles of water to grams using the molar mass of water.
The molar mass of water is calculated by adding the molar masses of two hydrogen atoms (2 × 1.00784 g/mol) and one oxygen atom (1 × 15.999 g/mol):
Molar mass of water = 2 × 1.00784 g/mol + 1 × 15.999 g/mol = 18.01528 g/mol
Finally, we can find the mass of water using the molar mass and the number of moles:
Mass of water = 11.34 moles × 18.01528 g/mol ≈ 204.32 g
Therefore, approximately 204.32 grams of water can be made from 6.82 × 10^24 hydrogen molecules.
To determine the mass of water that can be made from a given number of hydrogen molecules, you first need to know the molecular formula of water and the atomic mass of hydrogen. We can use the formula H2O for water and the atomic mass of hydrogen is approximately 1 gram/mol.
1. Calculate the number of moles of hydrogen molecules:
Number of moles = Number of molecules / Avogadro's number
Number of moles = 6.82 × 10^24 / 6.022 × 10^23
Number of moles = 11.33
2. Since there are two hydrogen atoms in one water molecule, multiply the number of moles of hydrogen by 2 to get the number of moles of water:
Number of moles of water = 11.33 × 2
Number of moles of water = 22.66
3. Multiply the number of moles of water by the molar mass of water to get the mass in grams:
Molar mass of water = (2 * atomic mass of hydrogen) + atomic mass of oxygen
Molar mass of water = (2 * 1) + 16
Molar mass of water = 18 g/mol
Mass of water = Number of moles of water * Molar mass of water
Mass of water = 22.66 * 18
Mass of water = 407.88 grams (rounded to the nearest gram)
Therefore, the mass of water that can be made from 6.82 × 10^24 hydrogen molecules is approximately 407.88 grams.
2H2 + O2 ==> 2H2O
6.82E24 H2 molecules x (1 mol/6.02E23) = ? mols H2.
1 mol H2 makes 1 mol H2O which weighs 18 grams.