Question

What would you multiply "grans of scandium" by to get the units "atoms of scandium"

Answer 1

To convert 'grams of scandium' to 'atoms of scandium', multiply the grams by the inverse of scandium's molar mass (1 mol/44.955 g) and then by Avogadro's number (6.022 × 10^23 atoms/mol).

Step-by-step explanation:

To convert 'grams of scandium' to 'atoms of scandium,' you would multiply by Avogadro's number, which is 6.022 × 1023 atoms/mol. However, you first need to convert grams to moles using scandium's molar mass. Scandium has a molar mass of approximately 44.955 g/mol.

The conversion would follow these steps:

1. First convert grams of scandium to moles by using the factor-label method and the molar mass of scandium (44.955 g/mol).
2. Then multiply the number of moles by Avogadro's number to convert moles to atoms.

The entire calculation is expressed as: (grams of Sc) × (1 mol Sc / 44.955 g Sc) × (6.022 × 1023 atoms/mol) = atoms of Sc.

This mathematical approach ensures the unit 'g' cancels out and the final units are in 'atoms'.