0:00
Hello.
00:02
So we're looking at the equilibrium where we have h2po4 and hpo4, 2 -minus.
00:09
And i've written out the equations for k -a -1, k -a -2, and k -a -3.
00:13
So you know which one that you needed to grab.
00:15
Now, the equation here that has those two things, h -2 -p -o -4 and h -p -o -4, both, is k -a -2.
00:26
So that means the value will actually be using as going to be the second k -a value.
00:31
Now on top of that, they're interested in the ratio between two of the concentrations of a buffer.
00:39
Naturally, a buffer means we can use the henderson -hosselbach equation, which is not p -k -a, which is ph equals the p -k -a plus the log of the base concentration, which in our case would be the h .p .o .4, because it has one less hydrogen, divided by the acid concentration, which will be the one with an additional hydrogen.
01:05
All right.
01:06
So we know the ph they want us to find.
01:09
That's 7 .23.
01:12
Now the pca, we can get readily enough.
01:15
Pca just equals the negative log of the ka value.
01:20
So that's going to be negative log of 6 .2 times 10 to the negative 8th.
01:28
Throw that into a calculator and you should get 7 .208 for that.
01:34
So we can plug that in.
01:38
And then plus log.
01:39
Now we're actually going to solve for this entire ratio.
01:44
The entire parentheses thing here.
01:52
That whole thing there in red.
01:53
We're solving for that.
01:57
Okay.
01:57
So the first thing we would do is to subtract the 7 .208 from both sides.
02:02
We're trying to just get that fraction by itself.
02:05
Just go down a little bit.
02:07
All right, subtracting that off should give you 0 .0224, which equals log of, and then our whole parenthesis thing is still here.
02:26
Right.
02:26
Now, the way you get rid of a log is you raise it to the, or you do 10th to its power.
02:34
So we're going to do 10.
02:36
And then the whole log, so -and -so is going to be the exponent off the 10th.
02:40
And then we'll do the same thing to the left -hand side.
02:42
So it's 10 to the 0 .024 power.
02:46
This effectively cancels out the log, and all you're left with is the parentheses.
02:52
You will have to plug in the left hand side, so that's 10 to the point 024 power, which should give you 1 .053 in your calculator equals our entire ratio here.
03:10
Now, based on the actual wording of the problem, i think, let's see, what would you calculate as the ratio of h2p -o -4 to hpo4? that wording makes me think they want the h -2 -p -o -4 on top, right, and the h -p -o -4 on bottom.
03:27
To flip that fraction upside down, you're just going to do one over 1 .053.
03:35
That will flip this upside down and give it, i think, the ratio that they're actually asking for.
03:44
One divided by 1 .053 gives you a fraction of 0 .9 .9.
03:49
Which should be your final answer.
03:53
Because it's a ratio, there's no units with it or anything.
03:56
I'm pretty sure that's the answer they're looking for.
03:59
Now you had a second problem on here as well.
04:04
Let's scroll down a bit.
04:05
Start problem number two.
04:09
If you need to perform a reaction in a control, do you need a buffer? how many grams of solid ammonium chloride? ammonium chloride is nh4...