188k views
1 vote
What would you multiply "grans of scandium" by to get the units "atoms of scandium"

User Yetti
by
8.0k points

1 Answer

2 votes

Final answer:

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'.

User South
by
8.3k points

Related questions

asked Sep 16, 2024 209k views
Justinkmunger asked Sep 16, 2024
by Justinkmunger
7.5k points
1 answer
1 vote
209k views
asked Jul 19, 2024 194k views
MehranTM asked Jul 19, 2024
by MehranTM
7.8k points
1 answer
5 votes
194k views