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ZwsWjelzqDA-054|N equal 3. |
ZwsWjelzqDA-056|Zero probability are the places where the wave function goes to 0. |
ZwsWjelzqDA-057|After you square 0, you still get 0. |
ZwsWjelzqDA-058|So the probability of finding the particle at these crossings is zero. |
ZwsWjelzqDA-059|And that's a strange characteristic of particles that behave like waves. |
ZwsWjelzqDA-060|There's portions of the box where the particle is forbidden to be. |
ZwsWjelzqDA-061|So this is interesting. |
ZwsWjelzqDA-062|I'll have two nodes, 1, 2. |
ZwsWjelzqDA-063|Node a, area where the wave function goes to 0 in the high energy state, one node here, and zero nodes here. |
ZwsWjelzqDA-064|When the number of nodes increase, the energy state increases. |
ZwsWjelzqDA-065|That's a higher energy situation. |
ZwsWjelzqDA-066|So here's what I have. |
ZwsWjelzqDA-067|I have a wave. |
ZwsWjelzqDA-069|Only certain wavelengths can exist. |
ZwsWjelzqDA-070|So half a wavelength, one full wavelength, 1 and 1/2 wavelengths. |
ZwsWjelzqDA-072|So if I fix the ends of the box, I put boundaries on a wave. |
ZwsWjelzqDA-073|I naturally get what I call quantization. |
ZwsWjelzqDA-074|Not every wave can fit in these boxes. |
ZwsWjelzqDA-075|Only certain waves can fit in these boxes. |
ZwsWjelzqDA-076|And there's a gap. |
ZwsWjelzqDA-077|I go from here, n equal 1, all the way up to here, and I skip all those energies in between. |
ZwsWjelzqDA-078|I can only have this energy state for the box or this energy state for the box and no energy states in between. |
ZwsWjelzqDA-079|The energy is quantized. |
ZwsWjelzqDA-080|And waves naturally do this. |
ZwsWjelzqDA-081|It's not unusual to see it. |
ZwsWjelzqDA-082|We can demonstrate it with audio waves. |
ZwsWjelzqDA-083|Audio, sound, is a wavelike property, and here's a tube of fixed length. |
ZwsWjelzqDA-084|So if I want waves to exist on this tube, only certain wavelengths will fit. |
ZwsWjelzqDA-085|I'll be able to fit a full wave on this, a wave on this, a wave and a half on this. |
ZwsWjelzqDA-086|So only certain sounds will fit in this tube. |
ZwsWjelzqDA-087|That's interesting characteristic. |
ZwsWjelzqDA-088|I can demonstrate a couple of the sounds that fit in this tube. |
ZwsWjelzqDA-089|We won't hear when we figure the sounds that fit in this tube. |
ZwsWjelzqDA-090|We won't hear a continuous sound. |
ZwsWjelzqDA-091|We won't hear [MAKING SOUND EFFECT] continuous wavelengths. |
ZwsWjelzqDA-092|We'll have [MAKING SOUND EFFECT] and [MAKING SOUND EFFECT],, two individual wavelengths that fit in this box. |
ZwsWjelzqDA-093|Let's actually demonstrate that. |
ZwsWjelzqDA-094|I'll try to spin this, and you guys can listen. |
ZwsWjelzqDA-095|There is one wave that fits. |
ZwsWjelzqDA-097|And there's that low frequency, long wavelength, two energy levels. |
ZwsWjelzqDA-098|And you can see energy. |
ZwsWjelzqDA-100|I wonder if I get a higher one. |
ZwsWjelzqDA-102|That's a beautiful acoustic example of waves and quantization. |
ZwsWjelzqDA-103|All you need to get quantization is take a wave and force it to exist in a certain area of space. |
ZwsWjelzqDA-104|If you fix the ends of a wave, you get quantization. |
ZwsWjelzqDA-106|And when waves are bounded, you get quantization. |
ZwsWjelzqDA-107|You get a particle in a box. |
sY-0uDLNYmk-000|Let's look at the bromination of diene. |
sY-0uDLNYmk-002|Now, as these reactions go, there's an equilibrium here, so these two products can interconvert. |
sY-0uDLNYmk-005|Notice that the 1-bromo is the same throughout. |
sY-0uDLNYmk-012|We're looking at the bromination of a diene. |
sY-0uDLNYmk-013|It can be brominated in the 1 position or the 3 position, and we have some data about the chemical reaction. |
sY-0uDLNYmk-014|So as the chemical reaction occurs initially, the 1-bromo is favored, so it's kinetically favored. |
sY-0uDLNYmk-015|It has a short pathway or a low activation energy to forming relative to the 3-bromo. |
sY-0uDLNYmk-016|If you look at the reaction over time though, as I go out to four hours, what's happening is the 3-bromo is building up in concentration. |
sY-0uDLNYmk-017|So over time, the 3-bromo is more stable, so it's more thermodynamically stable. |
sY-0uDLNYmk-020|The thermodynamically favored means there should be a larger difference in energy between the reactants and the products. |
sY-0uDLNYmk-022|So in this case, the correct answer is B. |
xcJkUZ4fzEE-000|Let's do a calculation involving isotopes. |
xcJkUZ4fzEE-003|Here we're going to take a sample of pure carbon and look at the mass spectrum. |
xcJkUZ4fzEE-004|Now remember, pure carbon means we take a sample of pure carbon from the ground and we run it through the mass spectrometer. |
xcJkUZ4fzEE-005|The question is, what is this peak at mass 13? |
xcJkUZ4fzEE-006|What's the molar mass of the sample? |
xcJkUZ4fzEE-007|And how many protons and neutrons are in carbon-12? |
xcJkUZ4fzEE-008|We can go through these initially. |
xcJkUZ4fzEE-009|The sample is naturally occurring carbon. |
xcJkUZ4fzEE-010|So it's 1% carbon-13 and 99% carbon-12. |
xcJkUZ4fzEE-011|And that's reflected in the mass spectrum, a peak about 100 times as big at 12 as you have at 13. |
xcJkUZ4fzEE-012|So that explains the mass spectrum, the naturally occurring isotope carbon-13. |
xcJkUZ4fzEE-013|Now, the molar mass is the weighted average of those two isotopes. |
xcJkUZ4fzEE-014|The ratio, in every 100 atoms, there are 99 carbon 12's and one carbon-13. |
xcJkUZ4fzEE-024|And it determines the identity of the atom. |
xcJkUZ4fzEE-025|Remember, if you know the number of protons, you know the identity of the element-- not the mass, the number of protons. |
xcJkUZ4fzEE-026|It has mass 12. |
xcJkUZ4fzEE-027|So those other 6 mass units, 6 for the proton, mass 12, there's 6 more mass units. |
xcJkUZ4fzEE-028|Those must be the neutrons. |
xcJkUZ4fzEE-029|So there's 6 neutrons in carbon-12 nucleus. |
8qqpmXD8cjU-000|Let's look at some weak acids and weak bases in solution and see if we can predict which will have the highest pH. |
8qqpmXD8cjU-001|So here I have three solutions. |
8qqpmXD8cjU-002|They'll all be at 0.1 molar. |
8qqpmXD8cjU-003|Which has the highest pH? |
8qqpmXD8cjU-012|A weak base, weak base equilibrium constant-- 10 to the minus 8. |
8qqpmXD8cjU-013|So this reacts as a weak base. |
8qqpmXD8cjU-014|This will be a slightly basic solution. |
8qqpmXD8cjU-015|Another of ours is sodium acetate. |
8qqpmXD8cjU-019|Here's the acetate ion reacting with water as a base. |
8qqpmXD8cjU-020|We had a Kb 10 to the minus 10. |
8qqpmXD8cjU-021|So a Kb 10 to the minus 10, this base considerably stronger than this base. |
8qqpmXD8cjU-022|The last one we have, NH4Cl, that forms NH4 plus ions in solution-- and Cl minus. |
8qqpmXD8cjU-023|And we've seen that. |
8qqpmXD8cjU-025|So this last one is an acid. |
8qqpmXD8cjU-030|And of these two, NH3 is the stronger base. |
8qqpmXD8cjU-031|So the highest pH, the highest OH minus concentration, comes from the strongest base. |
8qqpmXD8cjU-032|And in this case that is NH3. |
Xt-yom79grM-000|Let's look at the equilibrium between liquid water and gaseous water at 25 degrees C. |
Xt-yom79grM-001|And what can we say about the standard state free energy difference and K for that physical process? |
Xt-yom79grM-014|That's where water comes up to the boiling point. |
Xt-yom79grM-015|1 atmosphere of pressure is the pressure that defines the boiling point. |
Xt-yom79grM-016|So, I have 1 atmosphere of pressure. |
Xt-yom79grM-017|That's too high for 25 degrees C. |
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