00:01
Okay, so we're going to try to calculate some ks.
00:04
In this first one, we're going to have a little bit of work to do.
00:08
Please assume that all substances are aqueous unless i indicate otherwise.
00:14
So we don't have to write aqueous quite so many times.
00:18
So we're going to try to find the k for this reaction.
00:22
So what i'm going to need to do is find some reactions that will add up to give me that reaction.
00:27
So for instance, i could look at ammonia and write the heart.
00:33
Hydrolysis reaction for that, right? react it with water and it will give me nh4 plus and oh h minus and the k for this reaction will simply be the kb for nh3.
00:51
I'm going to do something similar with the hf.
00:54
I'm going to take the hf and write a hydrolysis reaction with water.
01:03
So we're going to make hydronium ion and f minus.
01:09
Now the k for this reaction is simply the k a for hf for hf but i also need to get rid of my h3o pluses and my waters.
01:22
So i'm going to add in a reaction here where i take hydroxide and hydronium ion, and those will produce two waters.
01:35
I'm going to try and get those three equations, see if they've added up to what i want.
01:40
For that equation that i just wrote, can you see that it's the opposite of the ionization of water? so this is just going to be one over kw.
01:51
So let's show that this all cancels out, right? the two waters cancel out with these two waters.
01:58
This hydroxide cancels out and this hydronium cancel out.
02:02
And i'm left with the equation i'm looking for.
02:05
So if i can add up three equations to equal a fourth, then the k for that fourth reaction simply equals the others all multiplied.
02:13
So it's going to be kb times that ka times 1 over kw...