00:01
All right, so we have three balloons.
00:02
The volume of each of the balloons is the same.
00:05
It's 2 .0 liters.
00:06
And we have conditions of standard temperature and pressure.
00:10
The balloons are filled with helium, neon, and argon, respectively.
00:14
So, first, how do they compare in terms of the number of particles? so we know from the ideal gas law that the number of particles is equal to, or the number of moles, which is directly proportional to the number of particles, is equal to pressure times volume over ideal gas constant times temperature.
00:32
Now, r is just the constant, and at standard temperature and pressure with the balloons all at the same volume, this whole thing is going to be equal to the same thing for each of the balloons, so therefore they have the same number of particles.
00:48
Alright, for part 2 we want to calculate the number of moles.
00:53
So let's plug in standard pressure is 1 atmosphere, the volume is 2 .0 liters, r, if we're using pressure and atmospheres, r is 0 .0821, and the temperature is 0 degrees celsius, so that's going to be 273 kelvin.
01:13
So 1 times 2 is 2 for the numerator, divided by 0 .0821, divided by 273, comes out to 0 .0892 moles, and we said that's the same for all of the balloons.
01:28
The number of particles, we use avogadro's number as a conversion factor...