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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. |