163k views
1 vote
If a sample of nitrogen gas (N2) contains 6.0 × 1024 atoms of nitrogen, then about how many moles of nitrogen gas are in the sample

3.0
1.0
5.0
2.5

2 Answers

7 votes

Answer:

5.0

Step-by-step explanation:

User Ethan McTague
by
6.4k points
4 votes
One mole of any substance contains Avogadro's number of atoms.
This means that one mole of nitrogen contains 6.022 * 10^23 atoms.

To know the number of moles containing 6 * 10^24 atoms, all you have to do is cross multiplication as follows:
number of moles = (6*10^24 *1) / (6.022*10^23) = 9.963 moles which is approximately 10 moles

Since one nitrogen molecule has two nitrogen atoms, therefore, the sample has 10/2 = 5 moles of nitrogen molecules
User Idir Hamouch
by
5.4k points