00:01
So we're going to combine our two solutions, so they're going to become diluted.
00:06
So if we start with our equation for dilutions, m1v1 equals m2 v2, our new molarity of each solution will be its original molarity, times its volume, divided by the new volume.
00:22
And this new volume is the total volume.
00:25
So the total volume of the two solutions added together, which will be 38 milliliter.
00:31
Okay, so let's find out our concentration of our solutions once we combine them.
00:39
So the concentration of that mercury 1 is the 0 .0021 molar times its 13 milliliters over the total milliliters.
00:56
So it's going to give us 7 .18 times 10 to the negative 4 molar.
01:02
And the concentration of our chloride ion is 0 .15.
01:10
Molar times the 25 milliliters that we started with of that again divided by the total will give its diluted new molarity and our equation is our solid that's the precipitate we're going to form in equilibrium with its ions 2 2 plus plus 2cl minus so our expression for q is the same as k and so mercury 2 2 plus concentration times a concentration of chloride squared.
01:56
So we'll go ahead and plug all that in.
02:01
So that's going to give us 7 .18 times 10 of the negative 4 times 9 .87 times 10 of the negative 3 squared.
02:17
So q is going to come out to be 7 .1 times 10.
02:22
Of the negative 6, and this is larger than 1 times 10 of the negative 18, which is our value for ksp.
02:32
So since q is larger, we will say yes, so precipitate forms.
02:43
Okay, so to find all these concentrations that we're looking for at equilibrium, we're going to set up an ice box.
02:50
We'll ignore our solid, and we'll write down our starting concentrations, 7 .18 times 10 to the negative 4 and 9 .87 times 10 of the negative 3.
03:05
This will be minus x and minus 2x.
03:09
So 7 .18 times 10 of the negative 4 minus x and 9 .87 times 10 of the minus 3 minus 2x.
03:22
Okay, so our expression, so is our ksp is 1 times 10 of the negative 18.
03:30
So this is going to be 7 .18 times 10 of the negative 4 minus x times 9 .87 times 10 of the negative 3 minus 2x, and we need to square that.
03:49
So if you take a look at that equation, that's not going to be much fun to solve at all...