00:02
Hello, in this question, we have a weather balloon that is designed to burst not at a specific pressure, but at a specific volume when it reaches 250 liters.
00:13
We also see, in addition to the volume changing, we have the pressure and the temperature changing.
00:19
Therefore, this is a combined gas law problem.
00:23
It's called the combined gas law because it combines boyle's law, charles law, and gayle -sax law.
00:29
So we get pressure, volume, and temperature in the equation.
00:36
So the equation looks like this, where p is pressure, v is volume, t is temperature in kelvin, and the ones represent the initial conditions, the twos represent the new conditions.
00:50
All right, let's figure out all of our variables here.
00:56
We'll pull these out of the question.
01:02
The initial pressure, we're told, is one atmosphere.
01:08
But we notice that we want our answer to be in psi.
01:11
So i'm going to convert this right away.
01:13
One atmosphere is 14 .70 psi.
01:20
Since i'm converting that, now i won't have to convert my answer at the end.
01:26
The initial volume of this balloon is only 23 liters.
01:33
The initial temperature is 20 degrees celsius.
01:38
All right, but this has to be in kelvin.
01:43
So i'm going to go ahead and add to 73 .15.
01:47
To convert this to 293 .15 kelvin.
01:53
The new pressure, p2, that is what we're trying to determine.
02:01
The new volume, the volume at which it bursts is 250 liters...