# Calculate the mass of 3.011 × 10^23 atoms of nitrogen.

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Calculate the mass of 3.011 × 1023 atoms of nitrogen.

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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.

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