Step-by-step explanation:
The head of a match contains 3.75 g of sulfur. We have to find the number of sulfur atoms that are present there. To go from grams to atoms, we will have to convert from grams to moles and then from moles to atoms.
To convert the mass into moles we can use the molar mass of S.
mass of S = 3.75 g
molar mass of S = 32.07 g/mol
moles of S atoms = 3.75 g * 1 mol/(32.07 g)
moles of S atoms = 0.117 moles
Then according to Avogadro's number there are 6.022 *10^23 atoms in 1 mol of atoms. We can use that relationship to find the answer to our problem.
1 mol of S atoms = 6.022 * 10^23 atoms
atoms of S = 0.117 moles * 6.022 * 10^23 atoms/mol
atoms of S = 7.05 *10^22 atoms
Answer: the match contains 7.05 * 10^22 atoms of S.