To calculate the number of gram molecules of oxygen (O) in a given mass of N2O, you first need to determine the molar mass of N2O and then convert the given mass into moles. Here's how you can do it:
Determine the molar mass of N2O:
- N2O is composed of two nitrogen (N) atoms and one oxygen (O) atom.
- The atomic mass of nitrogen (N) is approximately 14.01 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
- Multiply the atomic mass of nitrogen by 2 and add it to the atomic mass of oxygen:
- (2 * 14.01 g/mol) + (1 * 16.00 g/mol) = 44.02 g/mol.
- Therefore, the molar mass of N2O is approximately 44.02 g/mol.
Convert the given mass into moles:
- You have been given 12×10²⁴ grams of N2O.
- Divide this mass by the molar mass of N2O to convert it into moles:
- (12×10²⁴ g) / (44.02 g/mol) ≈ 2.727×10²³ moles of N2O.
Determine the number of moles of oxygen:
- In N2O, there is only one mole of oxygen for every one mole of N2O since the subscript for oxygen is 1.
- Therefore, the number of moles of oxygen is also approximately 2.727×10²³ moles.
Convert the number of moles of oxygen to gram molecules:
- Since one gram molecule is equal to one mole, the number of moles of oxygen is equal to the number of gram molecules of oxygen.
- Thus, the number of gram molecules of oxygen in 12×10²⁴ g of N2O is approximately 2.727×10²³ gram molecules.
Therefore, there are approximately 2.727×10²³ gram molecules of oxygen in 12×10²⁴ g of N2O.