Final answer:
The mass of one mole of atoms of an element, with each atom weighing 3.0 x 10^-22 grams, is 180.66 grams when calculated using Avogadro's number.
Step-by-step explanation:
If the mass of one atom of an element is 3.0 x 10-22 grams, the mass of one mole of atoms of the element can be calculated using Avogadro's number, which is 6.022 x 1023 atoms per mole. To find the mass of one mole, you multiply the mass of one atom by Avogadro's number.
The calculation would be as follows:
3.0 x 10-22 grams/atom x 6.022 x 1023 atoms/mole = 180.66 grams/mole
Therefore, the mass of one mole of atoms of this element is 180.66 grams.