What is the mass of 9.76×1012 atoms of nitrogen?

1 Answer
Jul 29, 2016

2.271010g

Explanation:

To make this problem more interesting, let's calculate the mass of a single atom of nitrogen first, then use that value as a conversion factor to determine the mass of 9.761012 atoms of nitrogen.

The starting point here will be the molar mass of nitrogen, which is listed as

MM N=14.00674 g mol1

This tells you that one mole of nitrogen has a mass of 14.00674 g. Since one mole of any element contains 6.0221023 atoms of that element, you can say that the mass of a single atom of nitrogen will be

1atom N14.00674 g6.0221023atoms N=2.3261023g

Now all you have to do is multiply this value by the number of atoms given to you to find

9.761012atoms N2.3261023g1atom N=∣ ∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aa2.271010gaa−−−−−−−−−−−−−−

The answer is rounded to three sig figs.