00:01
All right, so we have to consider the 36 .0 ml sample of a strong acid and 0 .205 molar of a strong base.
00:12
Now, to determine each of the following, the first one is when the volume of the base that has been added was 11 .1 ml, so that's 0 .0111, right, basically, liters.
00:30
The number of moles of potassium hydroxide at that point would be 0 .0111 multiplied by its concentration, which is 0 .205.
00:39
That's what we have as its concentration.
00:43
And of course, this would mean that the number of moles was 2 .28 times 10 to the power of minus 3.
00:49
On the other hand, the number of moles of the acid that we would give it would have been 0 .175, which is its concentration, 0 .175, multiplied by its volume, which is 0 .036.
01:03
And what we have is 6 .3 times 10 to the power of minus 3.
01:07
As you can see, the acid is greater.
01:10
The number of moles of the acid is greater than the number of moles of the base, which means that the hydrogen ions are in excess.
01:18
By how much? well, by the difference between the two of them, right? and of course, that would give you 4 .02 times 10 to the power of minus 3.
01:33
And the concentration now of the excess acid is this, 4 .02 times 10 to the power of minus 3, divided by the total volume of the solution, which is this volume plus this volume, right? and that's basically 47 .1.
01:53
So that's 0 .0471.
01:55
And this would give you 0 .0854.
01:59
So the ph at this point is negative log of that.
02:04
And when you punch your calculator, you have 1 .069.
02:08
We're asked to leave our answer in three decimal places, right? okay.
02:12
So the b part, right? when you've added, the b part says, ph at equivalence point.
02:19
The ph at equivalence point is seven, because it's a strong acid and a strong base titration, right? so it's seven.
02:29
It's just that straightforward for that.
02:33
All right.
02:33
Let's look at the next question.
02:35
So the other question that says, for 280 right, for 280 ml of pure water, calculate the initial ph and the final ph after adding 0 .028 moles of sodium hydroxide.
02:57
The initial ph, the ph initial, right? is seven, because it's pure water.
03:07
But once you've added 0 .028 moles of sodium hydroxide, the concentration of the which is what would be 0 .028 divided by the volume, that's 0 .28, right? and this is 0 .1.
03:28
So the ph, right? the ph will be 14 minus minus log of the oh, hydroxide ion concentration.
03:39
And this would be 13 .0.
03:43
When i ask to express, i'll say in two decimal places, right? so 13 .00, right? that's going to be the ph of the solution for that question.
03:57
All right.
03:57
Let's look at the next one.
03:58
Now you have buffer solutions.
04:01
You have buffer solutions.
04:03
So you have 280 ml of the buffer, right? so let's see the concentration of the, the concentration of the formic acid, right? formic acid, hcooh was 0 .225.
04:23
The concentration of the formate ion, that's the sodium formate, was 0 .300 molar.
04:31
This is also molar, right? the ph basically is the pka, the initial ph, plus log the concentration of the base divided by the concentration of the acid.
04:46
And the pka, right? is minus log of the ka.
04:50
Just put that.
04:51
The pka is basically minus log of the ka.
04:55
So, and what you have is the ka was 1 .8 times 10 to the power minus 4.
05:03
So minus log 1 .8 times 10 to the power minus 4 plus the log of 0 .3 divided by 0 .225.
05:13
When you punch your calculator, this will give you 3 .86.
05:18
That is the ph of the solution initially, right? this is initially, initially, right? that's the ph of the solution.
05:30
And the final ph, when you add 0 .028 mole of hydroxide.
05:36
Now on adding, so the concentration of the hydroxide ion, you've added basically 0 .028 divided by the volume of the buffer, which was 280.
05:47
So you've added just 0 .1 molar...