A 1.50-g sample of nitrous oxide contains #2.05 * 10^22# #N_2O# molecules. How many nitrogen atoms are in this sample? How many nitrogen atoms are in 44.0 g of nitrous oxide?
Note: This answer may seem to be quite long, but that is because I have tried to explain each of the steps fully and clearly. If you want, you can just read the first method for finding the second part of the question but the second method will be useful to you in future if you are not already learning it, and I would recommend at least reading through and trying to understand the concepts involved.
The answer for the first part of the question is quite simple. In 1
There are two ways of finding the answer to the next part of the question. The easiest way to find this is by using the number given to us in the question. We know that there are
Now we know the number of
The second, more accurate way to find this out is by using the relative atomic masses of the atoms in
If you look on a periodic table , you see that Nitrogen has a relative atomic mass of about 14. This is not completely accurate, but using the correct value of 14.007 makes our calculations harder and does not make a large difference to the final answer we get (Ask your teacher which value you should use and then use that in future). We can also see that the relative atomic mass of oxygen is about 16 (actually it's 15.999).
To find out the amount of substance in a sample we use the equation
To find the molar mass (
We can now substitute these values into the equation to get:
Now we see we have 1 mole of
Both methods produced a similar answer, and both could be reasonably rounded to