Answer:
99.1 grams
Step-by-step explanation:
short:
(4.25 x 10^24 atoms) * (1 mol/6.022 x 10^23 atoms) * (14.007 g/ 1 mol) =
99.1 g
detailed:
4.25 x 10^24 atoms N ---> mass in grams
To calculate the mass in grams, we need to use the atomic mass of nitrogen (N), which is approximately 14.007 u (atomic mass units).
The number of moles (n) of N can be calculated as:
n = N/NA
where N is the number of atoms and NA is Avogadro's constant (6.022 x 10^23 atoms/mol).
n = 4.25 x 10^24 atoms/ 6.022 x 10^23 atoms
n ≈ 7.07 mol
The mass (m) of N can be calculated using the following formula:/
m = n x M
where M is the molar mass of N, which is approximately 14.007 g/mol.
m = 7.07 mol x 14.007 g/mol
m ≈ 99.1 g
Therefore, 4.25 x 10^24 atoms of nitrogen have a mass of approximately 99.1 grams.