00:01
Hi, so in this case we're going to have the titration of 50 milliliters of a 0 .1 molar solution of hcl.
00:11
We are going to have the titration using a 0 .2 molar solution of sodium hydroxide and we are asked to get the ph at different points.
00:23
So first of all remember that this is going to be a one -to -one relation in our neutralization reaction.
00:36
Of course, sodium chloride is going to appear as ion into solution and actually the reactive species are the hydronium ion and the oh that are going to react.
00:47
So the different cases for which we need to calculate ph are the following.
00:55
The initial, after we have added 10 milliliters of naoh, when we added 20 milliliters, 25 milliliters and 30 milliliters of solution.
01:16
So what i'm going to do is take an advantage that we have a one -to -one relationship.
01:23
Let's do a table with the amount of mole that we have added at the three different points.
01:30
So let's say for case one we have the volume added, we are going to have the amount of mole of oh - that we added, we're going to have the initial amount of mole of hcl which corresponds to the amount of mole of h3o+.
01:57
These values are going to stay the same for all of the cases.
02:07
And then we're going to have the surviving species, the concentration and the value for ph.
02:21
So let's begin by 0, 10, 20, 25 and 30 milliliters.
02:28
So how can i get the amount of mole of oh - that i have added? simply i need to multiply the volume in liters.
02:40
So we can convert all of these to liters simply by multiplying by times 10 to the minus 3.
02:45
We multiply this by the molarity of my solution and the molarity of my solution is going to be 0 .2 mole.
03:00
So the amount of mole that we're going to get is 2 times 10 to the minus 3 mole, 4 times 10 to the minus 3 mole, 5 times 10 to the minus 3 mole and 6 times 10 to the minus 3 mole.
03:20
We can do the same thing with hcl but that initial amount is going to be the same always.
03:27
So n is 50 times 10 to the minus 3 liters because we have 50 milliliters of solution times 0 .1 mole molar concentration.
03:39
So the amount is going to be 5 times 10 to the minus 3 mole.
03:49
Okay so i'm going to modify this table a little bit just to make room for some notes.
04:01
We have the surviving species, amount of mole of the surviving species which is going to be either hcl or oh - and then the concentration of that surviving species.
04:14
With that we can calculate the p.
04:16
Okay so let's begin with the very first case.
04:22
We're going to have volume added 0 liters, the surviving species it is going to be equal to the hydronium ion that is in our solution.
04:31
The amount of mole that we have is 5 times 10 to the minus 3 of h2o plus and the concentration is the same as the concentration of the solution.
04:42
So the concentration is going to be 0 .1 molar and the ph is directly the minus logarithm of that concentration.
04:51
So the ph when we have added nothing it's going to be equal to 1 for my initial solution.
04:59
Next up what i want you to see is that for these two cases the limiting reagent is going to be oh-.
05:11
That means that the species that is going to survive is h2o plus...