1. Convert atoms to moles:
* Avogadro's number (6.022 x 10^23) tells us the number of atoms in one mole of any substance.
* Divide the number of atoms by Avogadro's number:
(5.97 x 10^27 atoms) / (6.022 x 10^23 atoms/mol) = 9.91 x 10^3 moles
2. Convert moles to grams:
* The molar mass of nitrogen (N) is 14.01 g/mol.
* Multiply the number of moles by the molar mass:
(9.91 x 10^3 mol) * (14.01 g/mol) = 1.39 x 10^5 grams
Therefore, the mass of 5.97 x 10^27 nitrogen atoms is approximately 1.39 x 10^5 grams.