# How do you find the mass, in grams, of 5.00 xx 10^23 molecules of N_2?

Aug 17, 2017

The mass of $5.00 \times {10}^{23}$ molecules of ${\text{N}}_{2}$ is $\text{23.3 g N"_2}$.

Refer to the explanation for the process.

#### Explanation:

One mole of ${\text{N}}_{2}$ contains $6.022 \times {10}^{23}$ molecules. The mass of one mole of ${\text{N}}_{2}$ is $\text{28.014 g/mol}$.

To determine the mol ${\text{N}}_{2}$ molecules, divide the given number of molecules by $6.022 \times {10}^{23}$ molecules/mol by multiplying by the inverse. Then multiply by the molar mass of ${\text{N}}_{2}$.

5.00xx10^23color(red)cancel(color(black)("molecules N"_2))xx(1"mol N"_2)/(6.022xx10^23color(red)cancel(color(black)("molecules N"_2)))xx(28.014"g N"_2)/(1color(red)cancel(color(black)("mol N"_2)))="23.3 g N"_2"