How many NN atoms are there in one mole of N_2N2?

1 Answer
Stefan V.
Oct 3, 2016

2 xx N_"A"2×NA

Explanation:

You know that one molecule of nitrogen gas, "N"_color(blue)(2)N2, contains two atoms of nitrogen, color(blue)(2) xx "N"2×N.

Now, a mole is simply a very, very large collection of particles. In order to have one mole of things, let's say particles, you need to have 6.022 * 10^(23)6.022⋅1023 particles ->→ this is known as Avogadro's constant and acts as the definition of the mole.

So, in one mole of nitrogen gas you have 6.022 * 10^(23)6.022⋅1023 molecules of nitrogen gas, "N"_2N2. But since each individual molecule consists of 22 atoms of nitrogen, the number of moles of nitrogen atoms will be twice that of nitrogen gas molecules.

6.022 * 10^(23)color(red)(cancel(color(black)("molecules N"_2))) * (color(blue)(2)color(white)(a)"atoms of N")/(1color(red)(cancel(color(black)("molecule N"_2))))

= 1.2044 * 10^(24)"taoms of N"

Alternatively, you can express this as color(blue)(2) xx N_"A", where N_"A" is Avogadro's constant..

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