Final answer:
To find the number of atoms of oxygen in 160 grams of N₂O₂, calculate the number of moles of N₂O₂ and then multiply it by Avogadro's number. The number of atoms of oxygen is approximately 2.094 × 10^24 atoms.
Step-by-step explanation:
To find the number of atoms of oxygen in 160 grams of N₂O₂, we need to calculate the number of moles of N₂O₂ and then multiply it by Avogadro's number.
First, we calculate the molar mass of N₂O₂: 2(14.01) + 2(16.00) = 92.02 g/mol.
Next, we can calculate the number of moles of N₂O₂ by dividing the mass given (160 grams) by the molar mass (92.02 g/mol): 160 g / 92.02 g/mol = 1.739 mol.
Since there are two oxygen atoms in each molecule of N₂O₂, we multiply the number of moles by 2 to get the number of oxygen atoms: 1.739 mol × 2 = 3.479 mol. To convert this to atoms, we multiply by Avogadro's number (6.022 × 10^23 atoms/mol) to get 3.479 mol × 6.022 × 10^23 atoms/mol ≈ 2.094 × 10^24 atoms of oxygen.
Learn more about atoms of oxygen