Calculate the Mass of a Silver Ring in Grams

How to calculate the mass of a silver ring in grams?

A silver ring is composed of 1.81×10^23 atoms. Can you help me calculate the mass of the ring in grams?

Answer

The mass of the silver ring is 32.4 grams.

To calculate the mass of a silver ring in grams, we first need to determine the number of atoms in the ring. In this case, the ring is composed of 1.81×10^23 atoms. The molar mass of silver (Ag) is 107.87 g/mol.

First, we calculate the number of molecules in the silver ring by dividing the number of atoms by the number of atoms in the chemical formula: 1.81×10^23 atoms ÷ 1 atom = 1.81×10^23 molecules Next, we divide the number of molecules by Avogadro's number (6.02×10^23) to find the number of moles: 1.81×10^23 molecules ÷ 6.02×10^23 = 0.30066 mol

Finally, we use the moles equation to find the mass of the ring: m = n * MM m = 0.30066 mol * 107.87 g/mol m = 32.4 grams

Therefore, the mass of the silver ring is 32.4 grams.