Question

Calculate the mass, in grams, of 702 atoms of iron, Fe (1 mol of Fe has a mass of 55.85 g).

Answer 1

To calculate the mass of 702 iron atoms, convert the number of atoms to moles using Avogadro's number and then multiply by the molar mass of iron to get the mass in grams, which is approximately 6.507×10-20 grams.

Step-by-step explanation:

Calculating the Mass of Iron Atoms

To calculate the mass of 702 atoms of iron (Fe), we need to follow a few steps. The molar mass of iron is 55.85 g/mol, as given by the periodic table. First, we need to determine how many moles of iron 702 atoms represent. Using Avogadro's number (6.02×1023 atoms/mol), we find that:

1. 1 mole of Fe = 6.02×1023 atoms of Fe.
2. 702 atoms of Fe is (702 atoms)/(6.02×1023 atoms/mol) = 1.165×10-21 moles of Fe.
3. To convert moles to grams, we multiply by the molar mass of iron: 1.165×10-21 moles × 55.85 g/mol = 6.507×10-20 g.

Therefore, 702 atoms of iron weigh approximately 6.507×10-20 grams.