00:01
So for this question, you're also to fill in those different values on the table using the ideal gas equation.
00:09
So the ideal gas equation is the pressure times the volume is equal to n the moles times r the gas constant times the temperature.
00:19
So we're going to use this to find all of those missing values.
00:25
So keep in mind, the gas constant r is 0 .0 .0.
00:34
And its units are liters times atmospheres over kelvin times moles.
00:41
So this unit is very important, right? because it tells us what all of the other units need to be.
00:47
So our volume needs to be in liters.
00:51
Our pressure needs to be in atmospheres.
00:52
Our temperature has to be in kelvin.
00:55
And then our n or moles has to be in moles.
01:01
So basically we're solving four different problems.
01:04
So let's solve the first where we're missing the temperature.
01:11
So we're going to plug in all those values, and it looks like all the units are going to match up.
01:15
We have atmospheres, liters, and moles.
01:18
So we don't have to change any units.
01:20
We can just plug it in.
01:21
So our pressure is 2 .1 atmospheres times our volume of 1 .40 liters.
01:30
Is equal to n 0 .520 moles times r the gas constant.
01:40
So 0 .0826 liters, atmospheres, kelvin, moles, times t, the temperature, which we're trying to find.
01:54
So now you just solve for t.
01:57
So you're going to plug that in your calculator 2 .1 times 1 .4 liters.
02:06
And then you divide by 0 .520 moles and then divide by 0 .08206, the gas constant.
02:16
Plug it in your calculator and then your temperature should be 68 .9 kelvin's.
02:24
So that's what you're going to put in that first block.
02:26
Now we're going to do the second row.
02:30
And it's going to be the same thing, except for this time our temperature is in celsius, and it has to be in kelvin's.
02:40
So it can convert celsius to kelvin's.
02:43
We just add 273.
02:47
So that's going to give us a new temperature of 305 kelvin's.
02:53
Now we have kelvin's, liters, and atmospheres.
02:57
So we're good to go.
02:58
So let's just plug in our values and then solve for n.
03:03
Another way you could do this is that you could rearrange this equation to put what you're solving for by itself, or you can plug in the values and then solve.
03:15
It doesn't matter.
03:18
We can do it a different way...