| lpGVGcIVYs4-000|So let's talk about absorption of light in terms of the ChemQuiz. | |
| lpGVGcIVYs4-001|If you have an object that has an absorption spectrum that looks like this, what color is that object? | |
| lpGVGcIVYs4-009|An object that has an absorption spectrum that looks like this is absorbing strongly in the reds and yellows and passing wavelengths in the blue. | |
| 7W0cz0oGHGE-000|Let's do a calculation involving mixtures of gases and the ideal gas law. | |
| 7W0cz0oGHGE-001|Now, when you have a mixture, each gas behaves like it has the whole volume to itself. | |
| 7W0cz0oGHGE-003|Each gas will exert what's called a partial pressure. | |
| 7W0cz0oGHGE-004|So a partial pressure of oxygen plus the partial pressure of nitrogen in a mixture is the total pressure. | |
| 7W0cz0oGHGE-005|Each gas behaving like the other gas is not even there. | |
| 7W0cz0oGHGE-006|It's occupying entire volume by itself. | |
| 7W0cz0oGHGE-009|So let's figure out the partial pressure of oxygen in this flask to start with. | |
| 7W0cz0oGHGE-010|I can do that from the number of moles, the temperature, and the size of the flask. | |
| 7W0cz0oGHGE-011|Apply the ideal gas law. | |
| 7W0cz0oGHGE-012|Now, there's also nitrogen in the flask, but it doesn't matter. | |
| 7W0cz0oGHGE-013|The oxygen behaves like it has the whole flask to itself. | |
| 7W0cz0oGHGE-018|So you have two gases, each exerting a partial pressure. | |
| 7W0cz0oGHGE-019|The total pressure is the sum of the two. | |
| 7W0cz0oGHGE-027|The mole fraction from this expression is also the partial pressure of oxygen over the total pressure. | |
| 7W0cz0oGHGE-028|So I can figure out the fraction of oxygen particles from the relationship between the pressures. | |
| 7W0cz0oGHGE-032|So the fraction of the pressure that comes from oxygen-- 2.4-- gives you the mole fraction in the sample. | |
| 7W0cz0oGHGE-033|So the fraction of the molecules that are oxygen are 0.83. | |
| 7W0cz0oGHGE-039|Well let's just calculate from the ideal gas law. | |
| 7W0cz0oGHGE-041|So the pressure is going to go down by 0.48 atmospheres when I remove 0.02 moles of gas. | |
| 7W0cz0oGHGE-042|So the total pressure is going to be reduced by around half an atmosphere. | |
| 7W0cz0oGHGE-043|The mole fraction in the flask stays the same. | |
| 7W0cz0oGHGE-044|Every sample of gas is still going to have about 8 oxygen particles and 2 nitrogen particles. | |
| 7W0cz0oGHGE-045|They're always going to be in that same ratio. | |
| 7W0cz0oGHGE-046|So mole fractions remain unchanged. | |
| 7W0cz0oGHGE-047|That's key. | |
| 7W0cz0oGHGE-048|So now if I know the pressure goes down by about half an atmosphere, well, the total pressure used to be 2.9. | |
| 7W0cz0oGHGE-052|So I know which fraction of this pressure is exerted by the oxygen molecules. | |
| 7W0cz0oGHGE-053|The pressure exerted by the oxygen molecules is the mole fraction of oxygen molecules times the total pressure. | |
| 7W0cz0oGHGE-054|The new total pressure-- 2.4 atmospheres. | |
| 7W0cz0oGHGE-057|So this is a long series of calculations. | |
| 7W0cz0oGHGE-059|So you apply the ideal gas law to each gas, and then add up those pressures to get total pressure. | |
| 7W0cz0oGHGE-060|You can also take mole fractions, multiply them times total pressures to get partial pressures. | |
| LYwud0w-upg-000|Let's look at both thermodynamic and kinetic influences on a chemical reaction. | |
| LYwud0w-upg-001|So here's a simple chemical reaction, A going to B. | |
| LYwud0w-upg-002|And this is an elementary chemical reaction, which means what I've written here is actually what happens on a molecular level. | |
| LYwud0w-upg-008|Well, thermodynamics applies at equilibrium. | |
| LYwud0w-upg-009|At equilibrium, the rate of the forward reaction and the rate of the reverse reaction are the same. | |
| LYwud0w-upg-010|That defines our equilibrium. | |
| LYwud0w-upg-011|So at equilibrium, the macroscopic concentrations of A and B don't change, but they interconvert-- they just interconvert at equal rates. | |
| LYwud0w-upg-012|So let's set the forward and reverse rate constants equal. | |
| LYwud0w-upg-014|Now these aren't the rates, these are just the rate constants. | |
| LYwud0w-upg-015|And when the A and B reach equilibrium, this is the equilibrium constant. | |
| LYwud0w-upg-016|So the equilibrium constant is given by the forward rate constant over the reverse rate constant. | |
| LYwud0w-upg-017|So here we have a link between thermodynamics and kinetics for an elementary chemical reaction. | |
| VzvinAckmQU-000|Let's look at the sublimation of iodine solid to form iodine gas that's occurring right here in front of me. | |
| VzvinAckmQU-001|What I have for you is, I'm going to raise the temperature of the system. | |
| VzvinAckmQU-002|What happens to the color intensity of the iodine gas as the temperature is increased? | |
| VzvinAckmQU-012|We're looking at the sublimation of iodine solid to form iodine gas. | |
| VzvinAckmQU-013|The equilibrium expression is K equals the partial pressure of iodine at equilibrium. | |
| VzvinAckmQU-014|That's the vapor pressure of iodine. | |
| VzvinAckmQU-015|And that's a function of temperature. | |
| VzvinAckmQU-019|We have an equilibrium between the solid and the gas, which is a function of temperature. | |
| VzvinAckmQU-020|And we expect that we'll have an increase in that vapor intensity. | |
| VzvinAckmQU-021|And we can show that to you. | |
| VzvinAckmQU-022|Here, I have iodine solid in equilibrium with iodine gas. | |
| VzvinAckmQU-023|And we can look at that color intensity. | |
| mgg27LTeNPo-000|When we talk about molecules we can use Lewis electron dot structures to describe the molecules, and those structures are actually pretty predictive. | |
| mgg27LTeNPo-001|From the Lewis dot structure you can get a lot of information about the geometry. | |
| mgg27LTeNPo-002|You can get steric numbers, what kind of things a central atom has to accommodate, and how those things will be arranged in space. | |
| mgg27LTeNPo-003|But there are limitations, obviously, to our Lewis dot structure picture. | |
| mgg27LTeNPo-004|Electrons aren't dots and bonds aren't little sticks. | |
| mgg27LTeNPo-005|So we have to go beyond that to a real quantum mechanical explanation of bonding. | |
| mgg27LTeNPo-006|Our quantum mechanical explanation of bonding, we'll have the electrons behaving like quantum mechanical particles-- particles that have wave-like properties. | |
| mgg27LTeNPo-007|And when those wave-like properties overlap, they can have constructive interference. | |
| mgg27LTeNPo-008|They can add together. | |
| mgg27LTeNPo-009|The amplitude of a wave function can increase when electrons get close to each other. | |
| mgg27LTeNPo-010|The amplitude increasing leads to a higher probability of finding electrons. | |
| mgg27LTeNPo-012|So let's see how that would work. | |
| mgg27LTeNPo-013|In the simplest case, hydrogen, H2, that's a molecule. | |
| mgg27LTeNPo-014|We understand the hydrogen atom. | |
| mgg27LTeNPo-015|It has a 1s orbital. | |
| mgg27LTeNPo-016|So let's bring in another hydrogen. | |
| mgg27LTeNPo-017|Let's make a hydrogen molecule by bringing together two 1s orbitals. | |
| mgg27LTeNPo-018|When we bring in those two 1s orbitals, now here I've represented them both as green. | |
| mgg27LTeNPo-019|And remember, orbitals the wave function will have a sign, either positive or negative. | |
| mgg27LTeNPo-020|For the 1s orbital, there are no nodes, so the wave function is the same sign everywhere. | |
| mgg27LTeNPo-021|And I've drawn that as green everywhere. | |
| mgg27LTeNPo-022|So green is plus, green is plus, these are two wave functions coming together that have positive sign everywhere. | |
| mgg27LTeNPo-023|As you bring them together, those wave functions can add. | |
| mgg27LTeNPo-024|The waves, the electrons, can add constructively. | |
| mgg27LTeNPo-025|The amplitude between the two nuclear centers can increase. | |
| mgg27LTeNPo-028|Now that's what we call a sigma bonding orbital. | |
| mgg27LTeNPo-029|Sigma like the Greek s coming from the s orbitals. | |
| mgg27LTeNPo-030|Another way to think about this is to add them with a negative sign. | |
| mgg27LTeNPo-036|So there'll be a node in the center, a place where the electron density goes to zero, in the center of this orbital. | |
| mgg27LTeNPo-037|And we'll call that an antibonding orbital. | |
| mgg27LTeNPo-038|Sigma star for antibonding. | |
| mgg27LTeNPo-040|And the sigma star, the antibonding orbital, is higher in energy than the two 1s orbitals. | |
| mgg27LTeNPo-041|And you would guess that because there's a node in this orbital. | |
| mgg27LTeNPo-042|And remember, the more nodes in an orbital, the higher the energy in general. | |
| mgg27LTeNPo-043|So a sigma bonding and antibonding orbital can be formed by adding and subtracting the 1s orbitals. | |
| mgg27LTeNPo-044|Now we add and subtract because we're taking linear combinations, but we can't lose any orbitals in the process. | |
| mgg27LTeNPo-045|If we start out with two orbitals on the atoms, we have to form two molecular orbitals. | |
| mgg27LTeNPo-046|The number of orbitals is going to be conserved. | |
| mgg27LTeNPo-047|So we need the plus and minus combination to conserve our number of orbitals forming our bonding and antibonding molecular orbital. | |
| mgg27LTeNPo-048|We can take the electrons then from the atoms and add them to our molecular orbitals. | |
| mgg27LTeNPo-049|These combinations, when they're overlapped appropriately, give me my sigma bonding and sigma star antibonding orbital. | |
| mgg27LTeNPo-050|How will the electrons from the atoms fill the molecular orbitals? | |
| mgg27LTeNPo-051|They'll use the same rules we had for the atoms. | |
| mgg27LTeNPo-054|So where the hydrogen had unpaired electrons, hydrogen atoms had an unpaired electron, and was paramagnetic. | |
| mgg27LTeNPo-055|Paramagnetism indicates an unpaired electron with its slight magnetic field. | |
| mgg27LTeNPo-056|Hydrogen molecules will be diamagnetic. | |
| mgg27LTeNPo-057|The electron spins will be paired and cancel each other out. | |
| mgg27LTeNPo-058|So already we have a prediction from our quantum mechanical understanding of bonding. | |
| mgg27LTeNPo-059|That hydrogen atoms are paramagnetic. | |
| mgg27LTeNPo-060|Hydrogen molecules are diamagnetic. | |
| mgg27LTeNPo-062|And that's what we'll do in this lesson. | |
| lGcvpHgo4R8-004|Well, we have a new unit here, watts, and that's a unit of power-- how much energy is transferred per second, how many joules of heat per second are transferred. | |
| lGcvpHgo4R8-005|So a 100 watt heater can transfer 100 joules of heat to a system for every second. | |
| lGcvpHgo4R8-006|So it's going to operate for 10 minutes while the system does work. | |
| lGcvpHgo4R8-011|Now, the system's also doing work. | |
| lGcvpHgo4R8-012|The question is, did I use all of those 60,000 joules to do work? | |
| lGcvpHgo4R8-013|Or did I use fewer or more than 60,000 joules of work? | |
| lGcvpHgo4R8-014|If I use exactly 60,000 joules to do the work, then my temperature won't change-- I'll absorb 60,000 joules and do 60,000 jewels of work. | |
| lGcvpHgo4R8-015|So it's interesting to see. | |
| lGcvpHgo4R8-016|Did the temperature change? | |
| lGcvpHgo4R8-024|And here, now I have a problem-- my heat I calculated in joules, but my work I calculated in liter-atmospheres. | |
| lGcvpHgo4R8-025|Liter-atmospheres is a totally fine unit of energy, they're just not the same, so I have to change one to the other. | |
| lGcvpHgo4R8-026|So let's change Liter-atmospheres to joules. | |
| lGcvpHgo4R8-027|And I never remember what the conversion factor is, but I do remember the two gas constants. | |
| lGcvpHgo4R8-028|I know one in joules-- 8.314-- and one in liter-atmospheres-- 0.082. | |
| lGcvpHgo4R8-034|So about 800 joules of work are done by the system. | |
| lGcvpHgo4R8-035|So it does about 800 joules of work, but absorbs 60,000 joules from the heater. | |
| lGcvpHgo4R8-036|So clearly its internal energy is going to go way up. | |
| lGcvpHgo4R8-037|Its internal energy is going to go up by the difference, heat plus the work-- and in this case, the work is negative. | |
| lGcvpHgo4R8-038|So it's the heat I absorbed minus the work I did, or an internal energy change of 59,210 joules. | |
| 7RrOhe6SSj0-000|Let's look at a classic chemical reaction, hydrogen plus oxygen, forming water, under three sets of circumstances. | |
| 7RrOhe6SSj0-001|One, we ignite the reaction. | |
| 7RrOhe6SSj0-002|Two, we add platinum. | |
| 7RrOhe6SSj0-003|Three, we let the reaction go. | |
| 7RrOhe6SSj0-011|So none of these change their equilibrium constant under these effects. | |
| 7RrOhe6SSj0-012|The equilibrium constant for each of these is the same. | |
| 0G0wCm28Jzc-000|One form of heterogeneous equilibrium is solids dissolving in liquids. | |
| 0G0wCm28Jzc-003|It breaks apart into two ions. | |
| 0G0wCm28Jzc-004|But barium sulfate is only sparingly soluble. | |
| 0G0wCm28Jzc-005|It doesn't dissolve very much. | |
| 0G0wCm28Jzc-006|In fact, if we write the equilibrium expression for this, we'll find the equilibrium constant is less than 1. | |
| 0G0wCm28Jzc-007|It favors the solid. | |
| 0G0wCm28Jzc-008|So let's write that down. | |
| 0G0wCm28Jzc-011|So the reaction quotient is actually just a reaction product, the product of the two ions. | |
| 0G0wCm28Jzc-017|So this reaction doesn't go towards products very far at all. | |
| 0G0wCm28Jzc-018|It very much favors the reactant side. | |
| 0G0wCm28Jzc-019|So a small Ksp, what is the solubility then of barium sulfate? | |
| 0G0wCm28Jzc-020|Well, you can say if x moles dissolves, that will form x moles of barium and x moles of sulfate. | |
| 0G0wCm28Jzc-022|So that's an x of about 10 to the minus fifth molar. | |
| 0G0wCm28Jzc-023|So very, very, very few molders. | |
| 0G0wCm28Jzc-024|Just 100 thousandth of a mole dissolves in about a liter of water. | |
| 0G0wCm28Jzc-025|So very low concentration. | |
| 0G0wCm28Jzc-026|This is a solubility product for a sparingly soluble solid. | |
| AGZZGR5Otxw-000|Electromagnetic radiation is composed of wavelengths from very, very long to very, very short. | |
| AGZZGR5Otxw-001|We've talked about the relationship between the wavelength, the frequency, and the speed of electromagnetic radiation. | |
| AGZZGR5Otxw-002|In fact, the product of the wavelength and the frequency is the speed. | |
| AGZZGR5Otxw-003|For electromagnetic radiation, light, speed is fixed at the speed of light. | |
| AGZZGR5Otxw-004|So if the wavelength increases the frequency has to decrease. | |
| AGZZGR5Otxw-005|They're inversely proportional. | |
| AGZZGR5Otxw-006|And you can see I have wavelength increasing here and frequency increasing here. | |
| AGZZGR5Otxw-007|The visible region, in particular, we're going to talk a lot about because we can perceive the length of the radiation by the color. | |
| AGZZGR5Otxw-008|So we can make that easy connection between a wave and its length by the color that we see. | |
| AGZZGR5Otxw-011|In fact, this kind of spells a guy's name-- ROY G BIV from long to short wavelengths. | |
| AGZZGR5Otxw-012|I often write that down, and I can remember the colors of the rainbow. | |
| AGZZGR5Otxw-013|Now there's more properties to electromagnetic radiation and waves in general. | |
| AGZZGR5Otxw-014|For instance, the intensity-- we haven't touched on that yet. | |
| AGZZGR5Otxw-015|You can think of the intensity of waves in the ocean as their height as they come in to the shore. | |
| AGZZGR5Otxw-016|A big wave would be an intense wave-- a tall wave an intense wave. | |
| AGZZGR5Otxw-017|How do we do that for our electromagnetic radiation? | |
| AGZZGR5Otxw-018|Well, let's talk about intensity more as we go through this talk. | |
| IqvWdvsDGhs-000|I'm going to mix a solution of weak acid and weak base. | |
| IqvWdvsDGhs-015|So we can actually do the experiment. | |
| IqvWdvsDGhs-016|Here I have the weak acid HAc, acetic acid, the weak base NH3, ammonia. | |
| IqvWdvsDGhs-017|I'll mix them. | |
| IqvWdvsDGhs-018|Equal concentrations, equal volumes. | |
| IqvWdvsDGhs-019|And you can see the pH goes to about neutral. | |
| IqvWdvsDGhs-020|Now, this is actually interesting. | |
| IqvWdvsDGhs-025|Now, what about the conductivity? | |
| IqvWdvsDGhs-026|We have neutral solution. | |
| IqvWdvsDGhs-027|Will there be a lot of ions, a few ions, or all the ions consumed? | |
| IqvWdvsDGhs-028|Let's have a look. | |
| IqvWdvsDGhs-029|Here's my conductivity meter, qualitative. | |
| IqvWdvsDGhs-030|Bright light, dim light, or no light? | |
| IqvWdvsDGhs-031|Bright light. | |
| IqvWdvsDGhs-032|Now that's interesting. | |
| IqvWdvsDGhs-033|Weak acid and weak base by themselves produce a small amount of ions. | |
| IqvWdvsDGhs-034|When I mix them together, a lot of ions are produced in solution. | |
| IqvWdvsDGhs-035|So in this case, I have NH4 plus and Ac minus ions in high concentration. | |
| IqvWdvsDGhs-036|The correct answer here is neutral and bright light. | |
| IqvWdvsDGhs-037|Now, I can look at that in a little different way. | |
| IqvWdvsDGhs-044|And now have a direct mixing of these two solutions, the HAc and the NH3. | |
| IqvWdvsDGhs-045|What's the size of the K? | |
| IqvWdvsDGhs-046|If the K is large, then ions will be favored over this side, which has fewer ions. | |
| IqvWdvsDGhs-054|This K is around 10 to the 5th, 10 to the plus 5. | |
| IqvWdvsDGhs-055|This k is very large. | |
| IqvWdvsDGhs-056|So when you mix these two, the reaction favors the products and forms a lot of ions. | |
| IqvWdvsDGhs-057|And indeed, I see, favoring the products, a lot of ions in solution and a very bright light. | |
| myN3PqD38Ds-000|Let's look at a system where some mixing occurs. | |
| myN3PqD38Ds-001|So I'm going to start with objects on one side and let them spread to both sides. | |
| myN3PqD38Ds-002|The question I have is as that spreading occurs, which step has the greatest entropy change? | |
| myN3PqD38Ds-004|Going from step 1 to step 2 of the mixing? | |