1. Avogadro's Number
* Avogadro's number is a fundamental constant in chemistry: 6.022 x 10²³ atoms/mol. This means that one mole of any element contains 6.022 x 10²³ atoms.
2. Molar Mass
* The molar mass of carbon is 12.01 g/mol. This means that one mole of carbon atoms weighs 12.01 grams.
3. Calculation
* Step 1: Find the number of moles:
Divide the number of atoms by Avogadro's number:
(1.505 x 10²³ atoms) / (6.022 x 10²³ atoms/mol) = 0.250 mol
* Step 2: Calculate the mass:
Multiply the number of moles by the molar mass:
(0.250 mol) * (12.01 g/mol) = 3.00 g
Therefore, the mass of 1.505 x 10²³ carbon atoms is 3.00 grams.
