00:01
Okay, so it looks like we're looking at a chemical reaction here, and it's a really complicated one.
00:09
But you don't ever be intimidated by a complicated chemical reaction, especially when we're talking about moles and grams.
00:17
Because when we're talking about moles and grams, we're really only relating two terms to each other or converting using a mass on the periodic table.
00:27
So the first question says they gave us 2 .583 grams of aluminum.
00:33
And they want to know how many moles of aluminum that is.
00:36
Well, remember, when you're looking at the periodic table, one mole of aluminum is going to be equal to 26 .982 grams of aluminum.
00:54
Okay.
00:55
But we don't have 26 .982 grams.
00:58
We only have 2 .583 grams.
01:00
So we want to figure out what that is in moles.
01:04
So we're going to set up a basic dimensional analysis.
01:07
So i'm going to take my 2 .583 grams of aluminum, and i'm going to multiply it by this information that i have over here.
01:19
I'm going to put the one mole of aluminum on the top and the 26 .9.
01:26
982 grams of aluminum on the bottom.
01:31
Now, why did i set that up that way? well, first of all, i need my final unit to be moles of aluminum.
01:39
And i also need my grams of aluminum to cancel.
01:43
And the only way to get those to cancel out would be to have them divide.
01:48
So when i divide the 2 .583 grams by the 26 .9182, grams, i get 0 .0, sorry, 0 .0 .9573.
02:13
And i'm keeping this to three numbers, four numbers, basically because this is four numbers or four significant figures.
02:20
And that would be moles of aluminum.
02:24
So now they want to know how many moles of alum could be produced.
02:30
If we started with that number of aluminum.
02:34
So alum, of course, is the most complicated substance you see in this reaction.
02:42
Now, the thing is, what happens in a chemical reaction is this is like a recipe.
02:49
So two moles of aluminum are going to produce two moles of alum.
02:54
Basically, the word mole can be inserted right there.
02:59
So every two of these will give you two of these.
03:02
But do i have two moles of aluminum? no, i have 0 .09573 moles of aluminum.
03:17
Now remember, i'm doing this based on dimensional analysis.
03:22
So even though this seems kind of tedious, you should really write this step out.
03:26
There's two moles of a of k -a -al s -o -4 -2.
03:36
12h -2.
03:38
This is a hydrate, right, a decahydrate, over two moles of aluminum.
03:45
And i'm writing this out just so i can see that my units are canceling.
03:50
This unit and this unit will be canceled.
03:52
And if i'm multiplying by two and dividing by two, my numerical answer is still going to be the same.
04:00
The only thing that has changed here is my unit is no longer moles of aluminum...