Final answer:
To find the number of oxygen atoms in 75.0 g of H2SO4, calculate the number of moles of H2SO4 and then multiply by Avogadro's number and the number of oxygen atoms per molecule, which results in approximately 1.84 × 1025 oxygen atoms.
Step-by-step explanation:
To calculate the number of oxygen atoms in 75.0 g of sulfuric acid (H2SO4), we first need to find out how many moles of H2SO4 there are in 75.0 g by using the molar mass of sulfuric acid.
The molar mass of H2SO4 is 98.1 g/mol. To find out the number of moles, we divide the mass of H2SO4 by its molar mass:
75.0 g / 98.1 g/mol = 0.764 mol of H2SO4
Now, since each molecule of H2SO4 contains four oxygen atoms, we use this information to calculate the total number of oxygen atoms:
0.764 mol of H2SO4 × Avogadro's number (6.022 × 1023 molecules/mol) × 4 oxygen atoms/molecule. The calculation is:
0.764 mol × 6.022 × 1023 × 4 = 1.84 × 1025 oxygen atoms.