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Solubility Product Constant .txt
The first step is to write the KSP equation.
Solubility Product Constant .txt
To write the KSP equation, we simply realize that this guy is a solid and therefore he doesn't count.
Solubility Product Constant .txt
In this equation.
Solubility Product Constant .txt
These guys only count because they're both atreus.
Solubility Product Constant .txt
Remember, we never count solids and we never count liquids.
Solubility Product Constant .txt
Therefore, KSP is equal to the concentration of barium times the concentration of sulfate ion.
Solubility Product Constant .txt
Finally, since this guy is 1.0 times cents and negative ten, we say KSP is equal to 1.0 times ten to negative ten equals.
Solubility Product Constant .txt
Now, since this is X and this is X, you write X is here.
Solubility Product Constant .txt
Now, since barium there's 1 mol of barrium, we put a one in front of the X for barium.
Solubility Product Constant .txt
And since there's a 1 mol of sulfate, we put the 1 mol in front of the X.
Solubility Product Constant .txt
So we get one X times one X equals X squared.
Solubility Product Constant .txt
Finally, we use a little bit of algebra.
Solubility Product Constant .txt
We pick the radical, and we get x equals one times cents to negative five molar.
Solubility Product Constant .txt
That is the solubility of barium sulfate in water at 25 Celsius is one times cents to negative ten molar or moles per volume.
Catalysts .txt
So earlier in another lecture, we spoke about the relationship between temperature and reaction rate.
Catalysts .txt
And we said that as we increase our temperature, our reaction rate also increases because on average, more molecules will have enough kinetic energy to overcome the activation energy.
Catalysts .txt
Now, today we're going to look at something called catalysts.
Catalysts .txt
Now, catalysts are organic or inorganic molecules that also, like temperature, affect our rate of reaction.
Catalysts .txt
Now, let's look at the following hypothetical example in which reactants A plus B react to form a product AB.
Catalysts .txt
Now, let's suppose that our reaction is reversible, meaning it goes forward and backward.
Catalysts .txt
And that means an equilibrium.
Catalysts .txt
Our rate forward will be the same as the rate backwards.
Catalysts .txt
Now let's look at the catalyzed reaction.
Catalysts .txt
Suppose we add a catalyst, catalyst C, to our reactants.
Catalysts .txt
Now, before we look at the mechanism by which it increases the rate, let's make sure we understand the fact that catalysts are not used up in reaction.
Catalysts .txt
In other words, if you add some catalyst to our reactants, you will get that same catalyst back at the end of your reaction.
Catalysts .txt
Now, that catalyst might react somehow with one of the reactants, maybe covalently or non covalent.
Catalysts .txt
In other words, it might buy to it and help them for the products.
Catalysts .txt
But at the end it will separate and you will be able to get your feed back.
Catalysts .txt
All right?
Catalysts .txt
So let's look at the mechanism by which these catalysts affect our reaction rates.
Catalysts .txt
So, in order to see this, we have to go back to our Iranians equation.
Catalysts .txt
This equation we spoke about when we spoke about temperature and reaction rate.
Catalysts .txt
So K, our reaction constant is equal to z times p. Now, z and p are the scarcity factor and the frequency of collisions.
Catalysts .txt
Now, this guy e is what our catalyst affects.
Catalysts .txt
Now, catalysts speed up reactions by lowering the activation energy needed to convert the reactants to products.
Catalysts .txt
Now, this in turn increases the number of molecules that have enough kinetic energy to climb that activation barrier.
Catalysts .txt
In other words, it decreases this activation energy EA, thereby increasing this e component.
Catalysts .txt
And this in turn increases our rate constant, which is directly proportional to rate of reaction.
Catalysts .txt
And that's how the rates of reactions are increased by catabalists.
Catalysts .txt
Now, let's look at this graph.
Catalysts .txt
It's energy in the Y axis versus time or progress or reaction on the x axis.
Catalysts .txt
Now, this black curve is the curve that represents before additional catalysts.
Catalysts .txt
Notice activation energy goes all the way up to this blue level.
Catalysts .txt
Now, when you add that catalyst, what happens is that activation energy is lowered by this much to this red level.
Catalysts .txt
And that means more molecules, on average will have enough kinetic energy to climb this new activation barrier and form the product.
Catalysts .txt
And that's exactly what happens when you add a catalyst.
Catalysts .txt
Now, it's very important to understand the following point.
Catalysts .txt
Catalysts do not, and I repeat, do not affect the equilibrium of reaction.
Catalysts .txt
In other words, what catalysts do is they speed up their forward reaction and reverse reaction.
Catalysts .txt
But the final concentrations of our product and reactions remain the same.
Catalysts .txt
In other words, let's look at this uncannyze and catalyze reaction.
Catalysts .txt
Again, suppose that the concentration and equilibrium of our uncatalyzed are as following we have concentration of A, we have concentration of B and construction of our product AB.
Catalysts .txt
Now, for the catalyzed reaction, even though equilibrium will be reached much quicker because of a catalyst, the final concentrations are exactly the same.
Catalysts .txt
They have not changed.
Catalysts .txt
In other words, catalysts do not touch the equilibrium of our reaction.
Catalysts .txt
They affect the kinetics of our reaction, but they do not affect equilibrium.
Catalysts .txt
Now, we're going to examine the two types of catalysts.
Catalysts .txt
So we have heterogeneous catalysts are molecules that are in a different state compared to the reactants.
Catalysts .txt
In other words, if our reactants are in a gas state or liquid state then our catalysts are in a solid state.
Catalysts .txt
Now, when we're dealing with heterogeneous catalysts, namely Salad catalysts, this is what happens.
Catalysts .txt
Our reactants absorb momentarily or bind to the catalyst which weaken the bonds, decreasing activation energy which in turn increases the reaction rate.
Catalysts .txt
So let's look at the following uncategorized reaction.
Catalysts .txt
BR two reacts with C two h four to produce C two H two BR two.
Catalysts .txt
Now, this by itself is a very slow occurring reaction.
Catalysts .txt
But if you add a catalyst, a metal catalyst, this reaction will speed up.
Catalysts .txt
Let's look at the following illustration.
Catalysts .txt
So this is our metal catalyst.
Catalysts .txt
What happens is this reaction momentarily binds to the surface of our catalyst and this weakens the double bond.
Catalysts .txt
And then this other reactant can come from the top, attacking these carbons, thereby creating our product.
Catalysts .txt
Now, this is how metal catalysts act.
Catalysts .txt
An example of such a metal catalyst is, for example, fuel cells.
Catalysts .txt
In fuel cells, plant and catalyst acts in the same manner to speed up the reactions the oxidation and reduction reactions in an anode in a cathode.
Catalysts .txt
Now, if you want to learn more about fuel cells, check out the link above.
Catalysts .txt
So now let's look at homogeneous catalysts.
Catalysts .txt
Now, homogeneous catalysts are catalysts that are in the same state as our reactant, usually liquid or gas.
Catalysts .txt
A great and common example of a homogeneous catalyst are acids.
Catalysts .txt
Now, these guys weaken bonds by adding an H plus ion to one of the reactants, thereby lowering the activation energy and speeding up our reaction.
Catalysts .txt
For example, let's look at the following reaction.
Catalysts .txt
Now, this actually involves a bit of organic chemistry but bear with me and I'll try to explain it.
Catalysts .txt
What happens is one of the H molecules, one of the H ions is added to this age group, to this oxygen group and this weakens this bond here.
Catalysts .txt
So then the hydroxide form act as a base or a nucleophile attacking this carbon bond, thereby displacing this weaker bond.
Catalysts .txt
And it was weakened by the h group, remember?
Catalysts .txt
So displacing.
Catalysts .txt
It forming our product.
Catalysts .txt
Now we have the oh group instead of the Och three group.
Catalysts .txt
And this is exactly how homogeneous catalysts act.
Catalysts .txt
In other words, they momentarily bind with our reactants, help them out, and then at the end, after a reaction is finished, they've move away, and you can isolate the catalyst at the end of your reaction.
Catalysts .txt
Now, a great example of biological catalysts are enzymes.
Catalysts .txt
Enzymes are usually proteins found in our body that speed up the rates of reactions or slow down the rates of reactions.
Heisenberg鈥檚 Uncertainty Principle .txt
Now, in this lecture, I want to talk about a very interesting concept called the Heisenberg Uncertainty Principle.
Heisenberg鈥檚 Uncertainty Principle .txt
Now, this principle comes from quantum mechanics and two experiments in quantum mechanics help define this principle.
Heisenberg鈥檚 Uncertainty Principle .txt
The first experiment, which we'll talk about in great detail in another lecture was called a photoelectric experiment or simply the Photo Electric effect.
Heisenberg鈥檚 Uncertainty Principle .txt
And this experiment was conducted by Einstein.
Heisenberg鈥檚 Uncertainty Principle .txt
And what Einstein showed was that light, an electromagnetic phenomenon, had both particle like properties as well as wavelike properties.
Heisenberg鈥檚 Uncertainty Principle .txt
In other words, light has the following property called wave particle duality.
Heisenberg鈥檚 Uncertainty Principle .txt
And what this property shows or tells us is that whenever it's convenient, light can act as a wave.
Heisenberg鈥檚 Uncertainty Principle .txt
And whenever it's convenient, light will act as a particle.
Heisenberg鈥檚 Uncertainty Principle .txt
Now, following this experiment, another experiment was conducted known as the BROGLEY Experiment.
Heisenberg鈥檚 Uncertainty Principle .txt
And what that experiment showed was that not only light has its property but other subatomic particles, like electrons also have this duality property or the wave particle duality property.