00:01
In this problem, we're given this balloon in the middle, which has 14 air particles in it.
00:07
And what we're going to do is pump that balloon with more air to increase the number of air particles from 14 to 18.
00:15
If we count the number of air particles in the problem, we see that there are 18 in each of parts a, b, and c.
00:22
So we know that the number of moles of the air in the balloon increased between the initial and final states.
00:28
And we want to know what would that final state look like? would the balloon get bigger in part c, smaller in part b, or stay the same size in part a? in order to answer this question, we need to first look at the ideal gas law, which is pv equals nrt.
00:46
The universal gas constant r is always going to be a constant value.
00:50
We're told from the problem statement that the pressure and temperature of the gas remain constant in this problem.
00:57
We therefore know that the volume of the gas and the number of moles are related.
01:04
If we divide over the pressure to the right side in order to get all the constant terms on one side of this equation and divide over the number of moles to the left side, we see that we get avagadro's law, where the volume that the air particles occupy, divided by the number of moles of air inside that balloon, are equal to that constant value, r .t...