To determine the number of oxygen atoms in 75.0 g of H2SO4, we need to use the molar mass of sulfuric acid and Avogadro's number.
The molar mass of H2SO4 is 98.1 g/mol, as you mentioned. This molar mass includes the combined mass of hydrogen, sulfur, and oxygen in the compound.
To calculate the number of moles of H2SO4 in 75.0 g, we divide the given mass by the molar mass:
Number of moles = Mass / Molar mass Number of moles = 75.0 g / 98.1 g/mol
Using a calculator, we find that the number of moles is approximately 0.765 mol.
In sulfuric acid (H2SO4), there are two oxygen atoms per molecule. So, to determine the number of oxygen atoms in 0.765 mol of H2SO4, we multiply the number of moles by 2:
Number of oxygen atoms = Number of moles × 2 Number of oxygen atoms = 0.765 mol × 2
This calculation gives us approximately 1.53 mol of oxygen atoms.
Finally, to convert the number of moles of oxygen atoms to the number of atoms, we use Avogadro's number, which states that there are 6.022 × 10^23 atoms in one mole:
Number of oxygen atoms = Number of moles × Avogadro's number Number of oxygen atoms = 1.53 mol × 6.022 × 10^23/mol
Performing this calculation, we find that there are approximately 9.2 × 10^23 oxygen atoms in 75.0 g of H2SO4.