First we will convert 3.011 × 1023 number of nitrogen atoms into number of moles:
We know, 1 mole = 6.022 × 1023 (Na = Avogadro’s number)
The number of moles = \(\frac{Given\,number\,of\,atoms}{Avogadro's\,number}\)
Number of moles = \(\frac{3.011\times10^{23}}{6.022\times10^{23}}\)
Number of moles = 0.5
Now, to calculate mass, apply the formula:
Number of moles (n) = \(\frac{Mass\,(m)}{Molar\,mass\,(M)}\)
We can write:
Mass (m) = Number of moles (n) × Molar mass of nitrogen (M)
Mass = 0.5 mol × 14g/mol
Mass = 7g
Thus, the mass of 3.011 × 1023 atoms of nitrogen is 7g.