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4.25 x 10^24 atoms N ---> mass in grams

User Badrobit
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1 Answer

7 votes

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.

User Paul Praet
by
8.3k points

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