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2hikObHZrXg-077|Well, pH 8 is between 6 and 10. |
2hikObHZrXg-078|It's well above this initial pH. |
2hikObHZrXg-079|So pKa1, that proton is certainly fully removed by the time we're at pH 8. |
2hikObHZrXg-080|So this is a negative ion right now. |
2hikObHZrXg-081|The other two species, we have to worry about. |
2hikObHZrXg-082|Now this proton here, this won't be removed until we're above pH 9.9. |
2hikObHZrXg-083|So that one is certainly going to be attached, so we don't have to worry about this pKa. |
2hikObHZrXg-084|We just have to worry about this pKa6. |
2hikObHZrXg-085|We're about two pH units above that. |
2hikObHZrXg-086|So at two pH units above this pKa, what species is present in solution? |
2hikObHZrXg-090|This proton either attached or removed. |
2hikObHZrXg-091|The pKa is 6 for that, but we're at pH 8, so the difference between pH and pKa is 2. |
2hikObHZrXg-092|So the difference is 2, so 2 has to be log of this concentration ratio. |
2hikObHZrXg-095|So these two forms, about a 100 to 1. |
2hikObHZrXg-096|So clearly, mostly the base form of this equilibrium is present at pH 8. |
2hikObHZrXg-097|Now there's also some sodium ions from the sodium hydroxide that we've been adding. |
2hikObHZrXg-098|But there are no hydroxide ions, per se. |
2hikObHZrXg-099|Very, very low concentration of hydroxide ions because all the hydroxide ions have been used up in converting the acid form to the base form. |
2hikObHZrXg-101|Those are the ions present in highest concentration at pH 8. |
hOwQQryixJM-000|Let's look at the pi bonding orbitals in butadiene. |
hOwQQryixJM-001|Can you determine which is the lowest energy pi bonding orbital? |
hOwQQryixJM-002|A, B, or C? |
hOwQQryixJM-013|We're looking for the lowest energy pi molecular orbital in butadiene, and we have three choices. |
hOwQQryixJM-014|This first choice actually isn't a pi orbital. |
hOwQQryixJM-015|It's a low energy orbital, if this were to form. |
hOwQQryixJM-016|Because it's along the internuclear axis though, we would call it a sigma orbital. |
hOwQQryixJM-017|This orbital has a node along the internuclear axis. |
hOwQQryixJM-018|And that's common for pi orbitals. |
hOwQQryixJM-019|They have internuclear axis nodes, and they have electron density above and below the axis. |
hOwQQryixJM-020|So this is a pi orbital and this is a pi orbital. |
hOwQQryixJM-021|And among these two, this has the lower number of nodes. |
hOwQQryixJM-022|So it's the lower energy. |
hOwQQryixJM-023|So in this case, B is the lowest energy pi molecular orbital among those choices. |
nE480ADhZsY-000|The free energy change, or delta G, is what determines whether a process is favored. |
nE480ADhZsY-001|Negative delta Gs indicate the favored direction for a chemical reaction. |
nE480ADhZsY-002|A reaction is spontaneous if delta G is negative. |
nE480ADhZsY-003|Delta G is composed of delta H and delta S and the temperature. |
nE480ADhZsY-004|So we need to look at three factors to determine where our negative delta G, or favored reactions, occur. |
nE480ADhZsY-010|Because a negative delta S makes the minus T delta S term positive. |
nE480ADhZsY-011|Remember, temperatures are always positive. |
nE480ADhZsY-012|So minus T delta S will be positive for negative delta S. |
nE480ADhZsY-013|So if we look at the overall space and say, well, what about the regions where delta S is negative and delta H is positive? |
nE480ADhZsY-017|No conditions of temperature will make that spontaneous. |
nE480ADhZsY-018|Let's look at a couple other conditions. |
nE480ADhZsY-020|Both of these favor delta G being negative. |
nE480ADhZsY-021|Of course, exothermic, delta H is negative. |
nE480ADhZsY-022|And an increase in entropy, that's a positive delta H times a positive temperature. |
nE480ADhZsY-023|With this minus sign, this term will always be negative, and this term will always be negative. |
nE480ADhZsY-024|So when delta S is positive and delta H is negative, that's favorable for all temperatures. |
nE480ADhZsY-031|But you can overcome it as long as you have a high enough temperature and a positive delta S. |
u2xEJdSJZOs-000|Now we can look at that trend in atomic radius in a little more detail. |
u2xEJdSJZOs-003|And then I've gone from sodium to argon across the next row of the periodic table. |
u2xEJdSJZOs-005|So lithium at 152 picometers, fluorine at 71. |
u2xEJdSJZOs-006|We have a decrease as I go across. |
u2xEJdSJZOs-007|And we understand that now. |
u2xEJdSJZOs-008|We understand that we're going into the same principle quantum level, but we're adding more nuclear charge. |
u2xEJdSJZOs-010|So those 2p orbitals that start out rather large at boron are contracting and getting smaller and smaller by the time I get over to fluorine. |
u2xEJdSJZOs-011|That's because a bigger charge on the nucleus. |
u2xEJdSJZOs-013|So we understand why ionization energy and atomic radii mirror each other in the trend because of the quantum mechanical structure of the atoms. |
u2xEJdSJZOs-014|We can understand trends in the periodic table because of our understanding of quantum mechanics. |
z24IYbHtphM-000|Matter absorbs or emits light based on its fine electronic structure. |
z24IYbHtphM-001|That is, you have electrons behaving like waves, they're bounded in the matter. |
z24IYbHtphM-003|Now let's take this. |
z24IYbHtphM-004|Let's say a certain piece of matter has this energy level scheme that's shown here, and it has an emission spectrum. |
z24IYbHtphM-005|Which of these three emission lines arises from the transition of high energy to low energy 3 to 1 emission in this system? |
z24IYbHtphM-018|We're trying to get from the energy level spacings in some matter to the actual emission spectrum that we observe. |
z24IYbHtphM-019|So if you look at the possible energy transitions, a transition between level 3 and 2 is possible. |
z24IYbHtphM-020|That would be the lowest energy of the possible. |
z24IYbHtphM-021|That's the smallest spacing here. |
z24IYbHtphM-022|So that's the smallest energy. |
z24IYbHtphM-025|The other transition from 3 to 1 is the highest possible for this system. |
Yzz2eluxRYc-000|The natural direction for a process is determined by the overall increase in entropy. |
Yzz2eluxRYc-001|If there's an overall increase in entropy between the system and the surroundings, then that's the favored direction for that process. |
Yzz2eluxRYc-003|So what's the difference between a process that has a natural direction and a process that has equilibrium? |
Yzz2eluxRYc-004|Both directions are equally favored. |
Yzz2eluxRYc-005|Well, it's a balance between the entropy change. |
Yzz2eluxRYc-008|I know if I go from the liquid to the gas, that's an increase in entropy. |
Yzz2eluxRYc-009|I go from the relatively constrained liquid to the many microstates of the gas. |
Yzz2eluxRYc-010|And of course, that's correct. |
Yzz2eluxRYc-011|But the error there is we're only thinking about the system. |
Yzz2eluxRYc-012|We need to think about the system and the surroundings to calculate the total entropy. |
Yzz2eluxRYc-016|You know as you evaporate the gas, as you go from the liquid to the gas, that you have to absorb energy. |
Yzz2eluxRYc-017|So the surroundings gives up some heat. |
Yzz2eluxRYc-018|As that surrounding gives up heat to the system, the entropy of the surroundings decrease. |
Yzz2eluxRYc-019|So system entropy increasing, surroundings entropy decreasing, the overall balance is 0. |
Yzz2eluxRYc-020|And there's no net tendency for the reaction to go one direction or the other. |
Yzz2eluxRYc-025|So a careful balance between the system and surrounding entropies can give you equilibrium situations. |
Yzz2eluxRYc-026|And if you're very careful, that equilibrium can exist between the three phases. |
Yzz2eluxRYc-027|And that's what happens at the triple point of water. |
FiAyWh9kb9w-000|Our understanding of gases and expansions and contractions help us understand something about the atmosphere, which is a big layer of gas. |
FiAyWh9kb9w-002|As you go up in altitude, the pressure decreases. |
FiAyWh9kb9w-003|There is less atmosphere above you, fewer molecules, lower pressure. |
FiAyWh9kb9w-006|Now warm gases near the surface of the Earth tend to rise. |
FiAyWh9kb9w-007|And as they rise through that decreasing pressure they expand against that pressure. |
FiAyWh9kb9w-008|That expansion against that pressure is an adiabatic process. |
FiAyWh9kb9w-009|It's adiabatic because there's no heat. |
FiAyWh9kb9w-010|There's no source of heat to return that energy it took to expand. |
FiAyWh9kb9w-011|So that adiabatic process, an adiabatic expansion is a cooling process. |
FiAyWh9kb9w-012|I use some of my energy to expand. |
FiAyWh9kb9w-013|I can't get it back as heat, so the gas cools off. |
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