Class 5 2022 and Beyond

This is a very long page. Don't be afraid of this unwieldy collection of possible topics. Over the last classes, we’ll start at the top of this page and pursue the first two or three topics, after which your questions will direct me from there. It's very important for you to ask and/or submit questions to guide me.

Class #5 will start with an overview of chemistry, in two takes, one video, and one to read.

Overview of Chemistry
(what? now?)

Take 1: Here's the video:

This video has a few minor errors (listed in the text material below the video), but gives a very concise and clear overview of the ideas and activities that constitute chemistry. I think it might be more effective now, after you have encountered some of the basic terms and concepts, than it would have been on day 1.

I hope it stimulates questions!

Take 2: What do chemists do?

The central tenet of chemistry is that function comes from structure.
 
In chemical terms, molecular structure gives rise to function. Molecular structure is the basis of the properties of substances - their colors, textures, shapes, and tendencies to change. As we learn to make these connections, we are drawn into a world of imagination that enriches the world we see. We study chemistry because many interesting and important things we see -- the intricacy of a snow flake, the symptoms of an cancer sufferer -- are caused by things we cannot see, but must understand.

Structure-function relationships are the heart and soul of chemistry.

Some of the basic operations of practicing chemists are
  1. purification: the separation of mixtures into "pure"* substances
  2. analysis: detecting and identifying substances (qualitative analysis), and measuring their quantities (quantitative analysis)
  3. structure determination: composing and testing structural models that fit all available data on a substance, in order to learn its molecular structure
  4. synthesis: making complex molecules of defined structure using reactions between simpler substances
  5. studying reactions, particularly their rates (kinetics) and energy changes (thermodynamics), in order to  establish relationships between structure and reactivity.
These operations are interdependent. For example, syntheses entails analysis to find out whether the desired product was obtained, and what impurities it contains.

* What Does Pure Mean?

No substance is completely pure.

Once more, for emphasis: no substance is completely pure.

In practice, a pure substance is one whose level of impurities is too low to have a detectable effect on what you are using the substance to do. The question is never whether there are impurities in a natural or synthetic substance. The question is how much. A liter of "pure" water, with impurities at less than one part per trillion (only 1 part in 1012 !) could still harbor trillions of impurity molecules in each liter. We are surrounded by impurities. There are likely to be atoms of every element in any sample taken on the earth, though most are at undetectable levels. There are likely to be some atoms of radioactive plutonium in our classroom.

But come to class anyway.

As scientists develop the technology to detect ever small numbers of atoms and molecules, it becomes more important to determine what level of a specific impurity actually is significant, because all imaginable impurities are probably present in some minuscule amount.

Topics for the rest of the course

Depending on your interests and questions, we will take up some or all of the following topics, starting in in the order given, skipping around as seems appropriate.

Equilibrium Reactions: Acids, Bases, and pH

We will consider some simple equilibrium processes in class.


Equilibrium of Water Flow Into and Out of a Funnel
The higher the column of water in the funnel, the faster water flows out the bottom. If inflow from the faucet decreases, then the level in the funnel falls, but that means that the rate of outflow falls until it matches the rate of inflow. So it is easy to reach a new position of equilibrium in which rate of flow in from the faucet becomes equal to the rate of flow out at the bottom. At this point, the level of water in the funnel again becomes constant. The equilibrium condition is [Flow(in) = Flow (out)]. The flow can be fast or slow, but if [Flow(in) = Flow (out)], the water level will stay the same.

Equilibrium Chemical Reactions

We will consider reactions in solution. First a few new terms. A solution is a mixture in which a solid, liquid or gaseous substance, the solute, is dissolved in a liquid, the solvent. In a aqueous solution, the solvent is water. Syrup is an aqueous solution of sugar. In other words, it is sugar (solute) dissolved in water (solvent).

(Think about the difference between dissolving and melting. Consider the melting of ice to produce liquid water, versus the dissolving of sugar in water to produce a solution.)

One liter of water (about a quart) contains about 55 million billion billion molecules of water (that's 55 with 24 zeros after it, or for those who are not spooked by exponents, its 55 times 10 raised to the power 24, or 55 x 1024 molecules. It can also be described as 55 M (for molar, which means moles per liter).

But even absolutely pure water (don't ask me where to find any) contains in each liter about about a hundred million billion (1 x 1017) positively charged hydrogen ions (H+) and the same number of negatively charged hydroxide ions (-OH).

Where do they come from? At any moment, any water molecule can fragment to produce these two ions. It's happening all the time, but only to a tiny fraction of the water molecules, according to this chemical equation:

H2O (l)  <===>  H+ (aq)  +   OH (aq)  (dissociation of water)

The double arrow (<===>) is the best I can do with this page editor to represent an equilibrium reaction, a reaction that does not go to completion. Instead the reaction proceeds until the rate of the forward process (water -->  ions) equals the rate of the reverse process (ions --> water), and then it's stuck there, at -- erm -- equilibrium, because water molecules are forming ions at the same rate that ions in solution happen to find each other and make water molecules.

In pure water, the number of hydrogen ions exactly equals the number of hydroxide ions because every water molecule that ionizes produces one of each ion, and every time a water molecule is formed in the reverse reaction, one of each ion is consumed. The equilibrium dissociation of water into hydrogen ions, H(+) and hydroxide ions, OH(-) strongly favors H2O, so the amount of the ions in pure water is very low.  While the concentration of water is about 55 M, the concentration of H+ ions is about 0.0000001 M. or 1 x 10^(-7) M. Same for the hydroxide ions.

The range of concentrations of H+ in water can range from about 10^2 (100 M) to 10^-15 or 
1x10^-15 M. These are unwieldy numbers for even the simplest calculations. So a simpler number scale is used to talk about concentrations of hydrogen ions. It's called pH, where [pH = - log of molar concentration of H+]. So for pure water, in which concentration of H+ = 1x10^-7, pH = 7. (The logarithm of 10^-7 is -7. The negative logarithm of 10^-7 is 7). So pure water has a pH of 7). 

(If you and logarithms are not on good terms, just remember that pure water has a pH of 7, and if you add an acid, the pH goes down, and if you add an acid, the pH goes up.)

pH is a measure of the concentration of hydrogen ions in a water solution. pH of 7 means that the number of hydrogen ions equals the number of hydroxide ions, as in pure water. The pH of pure water at room temperature is 7. But I can shift the equilibrium to a new position by adding hydrogen ions in the form of a strong (HCl) or weak (acetic) acid. If I increase the concentration of hydrogen ions by ten-fold, the pH will be 6, and the concentration of hydroxide ions will be reduced by 10-fold. Such a solution is said to be acidic. A solution of pH 5 is 100 times more acidic than pure water, and a solution of pH 4 is 1000 times more acidic than pure water. 

If I add hydroxide ions in the form of a strong (NaOH) or weak (ammonia) base, there will be more hydroxide ions than hydrogen ions, and the solution will be basic. A solution of pH 8 contains ten times as many hydroxide ions as does pure water, and ten times fewer hydrogen ions. A solution of pH 10 is 1000 times more basic than pure water.

(The product of the concentrations of H+ and OH- is always 10^14. Another was to say it:
pH + pOH = 14.)

Finally, two definitions: An acid is a source of hydrogen ions; hydrogen ion itself is considered to be an acid, the simplest one. A base is a consumer of hydrogen ions; hydroxide ion is the simplest base.

Here are some common solutions and their pH:

click to enlarge
(from this page.)

How is pH Measured?

The classic way is to use indicators, pigments that show different color in solutions of different pH. You can make an indicator at home, using pigments in red cabbage. Click HERE to see how.

Pigment-impregnated "pH paper" is available. To determine pH of a solution, tear off a short length of the paper, lay it on a saucer, and use a toothpick or tip of a spoon to transfer a drop of solution onto the paper. Compare the color of the solution-wetted paper with the colors on the package


Phenolphthalein is often the first pH indicating pigment that a first-year chemistry student encounters. See this entry at Wikipedia about how color changes in phenolphthalein come about.

••••••

The modern way to measure pH is to use a pH meter, placing its electrode into the solution whose pH you want to know. The principles underlying the electrode are complex.

The following video shows how a pH electrode senses the level of H+ ions in a solution. It's fairly technical, but just ignore the numbers and try to get the gist of it.


(True chemistry/math geeks can see in the APPENDIX below how the voltage across the electrode membrane is related to pH the sample solution.)

All pH methods (actually all methods of scientific measurement) rely on calibration, which in the case of pH means using solutions of known pH to compare with unknowns. Calibration solutions can be made with specific pH values, by applying well-understood chemistry.

•••••

Thermodynamics

Read a little about thermodynamics, at Wikipedia, just enough to see some of the most important terms.

Chemists use the Gibbs equation to talk about the forces that determine the position of an equilibrium, or the direction that a reaction with proceed spontaneously.

The Gibbs Equation: ∆G = ∆H  – T ∆S (G is free energy; H is heat; S is entropy.)

A process can proceed spontaneously if ∆G is negative. For a process that gives off heat, ∆H is negative. For a process that increases the disorder of an isolated system, ∆S is positive.

Rubber Band Thermodynamics

Bring to class a rubber band, the thicker and heavier, the better. Before class, try this.
1) Touch the band to your lips to see what it feels like at room temperature.
2) Now stretch the band as far and as hard as you can. Immediately touch the stretched band to your lips. Can you detect a temperature change?
3) Keep the band stretched until it feels like it's back to room temperature. Then quickly let the band relax and immediately touch the relaxed band to your lips. Can you detect a temperature change?

If the band feels warm after one of the steps above, it means it is losing heat to the surroundings. If the band feels colder after one of the steps above, it means it is absorbing heat from its surroundings. (If it feels cold to your lips, then heat is flowing from your lips to the band.)

A heat pump moves heat from one place to another -- from a hot room to the outside of your house in summer, and from outdoors into a cold room in winter. Think about how you could use the rubber band as a makeshift heat pump. Sound crazy? Not practical, but not crazy. 

In class, we will us a rubber band to give an example of a spontaneous process (contraction of a stretched band) and what forces (heat or entropy) drive the contraction.

Some Practical Applications of Chemical Knowledge

I) Refrigeration

How a Heat Pump Works (applies to refrigerators as well)

2) Solar cells and LED lights

VIDEOS on how solar cells work:

LED lights are exactly the same things as solar cells, but electricity applied to the external circuit forces reverse flow of electrons and holes, forcing them to combine, which means the electrons drop to lower energy levels and emit light.

Methods of Chemical Analysis

I. Chromatography, including lateral-flow or "rapid" COVID testing

Read or watch THIS about chromatography.

Here is an example of chromatography for separating the pigments (colored substances) in spinach leaves.

Spinach leaves were mashed up and stirred into acetone, which dissolves many of the leaf pigments, producing a spinach-leaf extract. A tiny drop of the solution is placed near the bottom of a glass plate coated with silica gel (the stationary phase of the chromatography). The plate is stood in a jar containing a small amount of a solvent or solvent mixture (the mobile phase). The solvent rises up the plate by capillary action, carrying pigments with it. Pigments that are more soluble in the solvent and/or less attracted to the silica gel move faster. Those less soluble and or more attracted to the gel move slower. The designer of this procedure has previously optimized (by trial and error) the mobile and stationary phases to give the best separation of all the pigments.

Animation
(wait and watch)
Chromatography of a spinach-leaf extract.
Different plant pigments travel at different
rates, revealing the number of pigments present,
as well as some other properties of them.
(Animated .gif file made at https://ezgif.com/maker)

Rapid COVID tests make use of a technique called affinity chromatography. 

Watch this video about how rapid COVID tests work:


Methods of Chemical Analysis

II. Spectroscopy, including figuring out structures of molecules

Watch this video about spectroscopy:


••••••

Epilogue: Teach Yourself Real Chemistry at Home?

Chemistry students who expect to excel in first-year college chemistry can expect to spend about 3 hours per week in class, 4 hours per week in lab, and as much as a dozen hours per week in private study. Much of what they learn they will actually teach themselves from the text, problem solving, and other sources. 

If you want to follow the path of such a course, whose aim is to prepare students to use basic chemical ideas in succeeding courses, watch the whole Crash Course Chemistry series. Try watching about three episodes per week, and each time, think about what you would do to reinforce your learning and be able to solve chemistry problems, which is tantamount to using the ideas of chemistry to answer practical questions. 

You can start right here. 

Thank you for participating in this class.

••••••

APPENDIX: Nernst Equation and pH

The Nernst equation allows calculation of electrochemical cell voltage (E) between two compartments having different ion concentrations. If the main ions present in the two compartments are hydrogen ions (H+), then the voltage (also called the potential) is related to the pH difference between the compartments. The relationship between voltage and pH is the last equation in this derivation. 

Solving the last equation for pH,

pH = E / 0.059 mV, in which E is the measured voltage

So the chip in the pH meter displays the value E / 0.059, which is the pH.


Figure from HERE.