How many grams of water (H_2O}) have the same number of oxygen atoms as 1.0mol of oxygen gas?
1 mole of H2O has Avogadro's number of O atoms (one per molecule).
1 mole of O2 gas has twice Avogadro's number of O atoms (two per molecule)
You need two moles of H2O to have as many O atoms as one mole of O2.
To determine the number of grams of water that have the same number of oxygen atoms as 1.0 mole of oxygen gas, we need to consider the molar ratio between the two compounds.
1. First, let's find the molar mass of oxygen gas (O2).
- The molar mass of oxygen is approximately 16.00 grams/mole.
- Since oxygen gas (O2) consists of two oxygen atoms, the molar mass of O2 would be 16.00 g/mole * 2 = 32.00 grams/mole.
2. Now, let's find the molar mass of water (H2O).
- The molar mass of hydrogen (H) is approximately 1.01 grams/mole.
- The molar mass of oxygen (O) is approximately 16.00 grams/mole.
- Since water (H2O) consists of two hydrogen atoms and one oxygen atom, the molar mass of H2O would be 1.01 g/mole * 2 + 16.00 g/mole = 18.02 grams/mole.
3. Next, calculate the molar ratio between the two compounds.
- The molar ratio is determined by comparing the number of moles. In this case, both oxygen gas (O2) and water (H2O) have 1.0 mol of oxygen atoms per mole.
- Since both compounds have the same molar ratio of oxygen, we can conclude that 1.0 mole of oxygen gas is equivalent to 1.0 mole of oxygen in water.
4. Finally, calculate the mass of water that contains 1.0 mole of oxygen atoms.
- Using the molar mass of water obtained earlier (18.02 grams/mole), we can calculate the mass by multiplying the molar mass by the number of moles of oxygen, which is 1.0 mole:
18.02 grams/mole * 1.0 mole = 18.02 grams of water.
Therefore, 1.0 mole of oxygen gas is equivalent to 18.02 grams of water (H2O) in terms of the number of oxygen atoms.