What mass of nitrogen contains 10 24 molecules?

N = 10 ^ 24 molecules.
Let’s determine the mass of nitrogen.
For this we use the following formula.
N = n × Na.
Where N is the number of molecules.
n is the amount of substance.
Na is Avogadro’s number, which is a constant 6.02 × 10 ^ 23.
First, we find the amount of substance.
n = N / Na = 10 ^ 24 / 6.02 × 10 ^ 23 = 10 / 6.02 = 1.66 mol N2.
Next, we find the mass of nitrogen.
n = m / M.
M (N2) = 14 × 2 = 28 g / mol.
We find the mass of nitrogen.
m = n × M = 1.66 mol × 28 g / mol = 46.48 g.
This means that 10 ^ 24 molecules are contained in nitrogen with a mass of 46.48 g.
Answer: m (N2) = 46.48 g.