1. Determine the mass of H2SO4 in the solution:
* A 50% H2SO4 solution means that 50% of the solution's mass is H2SO4.
* Mass of H2SO4 = (50/100) * 280 g = 140 g
2. Calculate the moles of H2SO4:
* Molar mass of H2SO4 = (2 * 1.01 g/mol) + (32.07 g/mol) + (4 * 16.00 g/mol) = 98.09 g/mol
* Moles of H2SO4 = 140 g / 98.09 g/mol = 1.43 mol
3. Determine the number of sulfur atoms:
* Each molecule of H2SO4 contains one sulfur atom.
* Avogadro's number (6.022 x 10^23) represents the number of atoms or molecules in one mole.
* Number of sulfur atoms = 1.43 mol * 6.022 x 10^23 atoms/mol = 8.62 x 10^23 atoms
Therefore, there are approximately 8.62 x 10^23 atoms of sulfur in a 280g 50% H2SO4 solution.