Understanding the Concept
* Avogadro's Number: 6.022 x 10^23 is Avogadro's number, which represents the number of atoms or molecules in one mole of a substance.
* Molar Mass: The molar mass of nitrogen (N) is 14.01 g/mol. This means one mole of nitrogen atoms weighs 14.01 grams.
Calculation
1. Find the number of moles:
* Divide the given number of atoms by Avogadro's number:
(3.011 x 10^23 atoms) / (6.022 x 10^23 atoms/mol) = 0.5 moles
2. Calculate the mass:
* Multiply the number of moles by the molar mass:
(0.5 moles) * (14.01 g/mol) = 7.005 grams
Therefore, the mass of 3.011 x 10^23 nitrogen atoms is 7.005 grams.
