William C. answered 09/12/23
Experienced Tutor Specializing in Chemistry, Math, and Physics
This looks like a dimensional analysis problem.
Assuming that you are trying to find the mass of a ring comprised of 2.72 × 1023 silver atoms, here's what you need to do:
- Divide the number of atoms by Avogadro's number (6.022 × 1023 particles/mol) to determine how many moles of silver are in the ring. The 1023 parts of the numbers will cancel so this amounts to calculating that you have (2.72 ⁄ 6.022) moles of silver in the ring.
- Multiply moles of silver in the ring by the atomic mass of silver, which is 107.8682 g/mol, to convert moles to grams.
So the mass of the ring is (2.72 ⁄ 6.022) mol × 107.8682 g/mol = 48.7 g (rounded to 3 significant figures).