Question

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

Answer 1

The mass of `5.00xx10^23` molecules of `"N"_2` is `"23.3 g N"_2"`.

Refer to the explanation for the process.

Explanation:

One mole of `"N"_2` contains `6.022xx10^23` molecules. The mass of one mole of `"N"_2` is `"28.014 g/mol"`.

To determine the mol `"N"_2` molecules, divide the given number of molecules by `6.022xx10^23` molecules/mol by multiplying by the inverse. Then multiply by the molar mass of `"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"`