00:01
Okay, so we have two reactions here, and our goal is to calculate the equilibrium constant for the reaction a plus b makes c.
00:16
So how can we manipulate these equations to obtain this one right here? so we have 2a and 2b here.
00:23
So if we take this second equation and we flip it and then also multiply by one half, then we'll get a plus b on the left.
00:35
And then makes 1 half d.
00:38
Now what happens to the equilibrium constant? so if we flip it, we take one over the equilibrium constant, and if we multiply by one half, we raise it to the one half power.
00:48
So it's going to be one over 5 .73 times 10 to the negative two raised to the one half power, which is the same thing just for the sake of mathematical simplicity.
01:00
Raising something that one half power is like square rooting it.
01:03
When you plug into your calculator, either one of these works.
01:06
All right and then to get a one unit of c on the right hand side we need to flip this equation as well and also multiply it by a half so that we'll get one half d makes c and then the one half d's cancel out and we add up to our overall equation so we manipulate this first equilibrium constant the same way we did the other one so it's going to be one over the square root of 5 .12 times 10 to the negative 4 just so happens that you need to apply the same change to both of them.
01:40
Now, if you add two reactions, you multiply the ks.
01:43
So the overall k is going to be the product here...