To compare the number of atoms in a 27.5-gram iron ring to a nickel ring of the same mass, we need to consider their respective molar masses and Avogadro's number.
The molar mass of iron (Fe) is approximately 55.845 grams/mol, while the molar mass of nickel (Ni) is approximately 58.6934 grams/mol.
To calculate the number of moles in each ring, we divide the given mass by the molar mass:
Number of moles of iron = 27.5 g / 55.845 g/mol Number of moles of nickel = 27.5 g / 58.6934 g/mol
Now, we can use Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol, to convert the number of moles to the number of atoms:
Number of atoms in the iron ring = Number of moles of iron x Avogadro's number Number of atoms in the nickel ring = Number of moles of nickel x Avogadro's number
Calculating these values will give you the comparison of the number of atoms in each ring.