**First we will convert 3.011 × 10**^{23} number of nitrogen atoms into number of moles:

We know, 1 mole = 6.022 × 10^{23} (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 × 10**^{23} atoms of nitrogen is 7g.