00:02
Hi there! in this question we have a sample of gas and the only thing that's constant here is the amount of gas because we're just transferring it to another container.
00:13
So n is going to be constant while temperature, pressure, and volume are all changing.
00:19
So to answer this question we need to use the combined gas law.
00:24
The combined gas law, like the name implies, it combines charles law, boyle's law, and gay -lewis -sachs law.
00:35
Giving us an equation that says p1 times v1 over t1 equals p2 times v2 over t2.
00:47
Where p is pressure, v is volume, and t is temperature, but the temperature must be in kelvin.
00:53
Just like in any gas law problem, temperature has to be in kelvin or you'll not get the correct answer.
00:59
All right, so let's go ahead and pull some of this information out of the question.
01:02
The ones represent the initial conditions.
01:06
So p1 tells us that the gas was initially at one atmosphere, v1 is going to be 5 .00 liters, and t1 is going to be 20 degrees celsius, but as we mentioned a moment ago temperature has to be in kelvin.
01:30
So to convert this to kelvin we're going to add 273 which gives us a temperature of 293 kelvin.
01:36
All right, p2, that's what we want to find out.
01:41
What's the new pressure? when the new volume v2 is 2 .77 liters and the temperature is increased to 43 degrees celsius.
01:59
Well again we need to add 273 to that giving us a kelvin temperature of 316...