Do Not Drink the Twenty Proof Gasoline!

141008_0000

We’ve all seen labels like this, stuck to gasoline pumps. While filling up my car’s gas tank earlier today, I felt compelled to take a picture of this familiar label — because I suddenly realized that what this small sign actually means is that the alcohol content of the gasoline being sold (in an area where liquor sales are illegal, no less) might be as much as twenty proof.

Twenty proof gasoline. Twenty proof gasoline! One never thinks of it this way, but it is both mathematically and chemically accurate. There are many different alcohols, but the one people drink for purposes of intoxication, and the one found in this gasoline, are the exact same molecule: C2H5OH. I then realized that the people who design these labels are being sneaky with the wording on purpose, for they don’t put “contains alcohol,” or anything like that, on these stickers found on gas pumps all over the place.

The reason for use of the official, less-familiar chemical term “ethanol” then became both obvious, and horrifying, all at once. Gas pumps must be labeled this way because there are people out there who are so incredibly stupid that they would actually drink gasoline if they knew it contained, well, booze.

What’s more, there is an unwritten assumption in play here, and I think (or at least hope) it is a valid one: anyone sufficiently educated to know that “ethanol” and the “the alcohol people drink to get drunk” are synonyms is also, presumably, smart enough to know better than to drink gasoline. Drinking gasoline would, of course, be dangerous in the extreme. Even inhaling gasoline fumes is hazardous, but drinking the stuff would be far worse. Consuming enough of this ethanol-containing gasoline to actually get drunk would, in fact, very likely be fatal, due to the mixture of toxic hydrocarbons present, in addition to the alcohol. The most toxic component of gasoline with which I am familiar is benzene, a potent carcinogen. Benzene is really nasty stuff, if it somehow makes it into a human body.

So, for the record, do not drink the up-to-twenty-proof gasoline — even though that is an accurate way to describe it.

The Misadventures of Jynx the Kitten, Chapter Three: Jynx Tries To Help Wash the Dishes

The thing is, kittens really aren’t very good at housework — but at least he’s trying, right?

20141006_175239_resized

Of course, he might have been wanting a shower instead. It’s hard to tell what Jynx is thinking sometimes.

20141006_175227_resized

This did cause a delay in the dishes getting done, for we were laughing too hard to load any dishes for quite some time, even after these pictures were taken.

20141006_175218_resized

No kittens were harmed in the making of this blog-post . . . but I will admit that the temptation to close the dishwasher, and then start it, did exist. However, we unanimously decided against it.

A Confusing Sign, Posted at the Entrance to My Local Library

141006_0000

I just returned home from a visit to my local library, and was so bewildered by this sign at the entrance that I felt compelled to take a picture of it. Helium doesn’t react with anything at all . . . so why would a library want to ban helium balloons? It’s not like helium can damage books!

An Octahedron Made of Cubes

Augmented Cube

Software credit:  I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.

My Aqua Regia Story

This is my twentieth year teaching, but only the first year when I have not taught at least one class in chemistry, and I miss it. One of my fondest memories of chemistry lab involves the one time I experimented with aqua regia — a mixture of acids which, unlike any single acid, can dissolve both gold and platinum, the “noble metals.” I had read a story of a scientist’s gold Nobel Prize being protected from the Nazis by dissolving it in aqua regia, and then recovering the gold from solution after World War II had ended. Having read about this, I wanted to try it myself, and also thought it would make an excellent lab for classroom use — if I could figure out how to recover the gold, and also learn what precautions would be needed to allow high school students to perform this experiment safely. For sensible and obvious reasons, I conducted a “trial run” without students present, but with another chemistry teacher nearby, since aqua regia, and the gases it produces when dissolving gold, are quite dangerous. Someone else has put a video on YouTube, showing aqua regia dissolving gold, so you can see something much like what I saw, simply by watching this video.

First, I obtained one-tenth of a troy ounce of gold, which cost about $80 at the time. I had read about the extreme malleability of gold, one of the softest metals, and wanted to see evidence for it for myself — so, before I prepared the the aqua regia, I used a hammer to try flattening the gold sample into a thin sheet. That didn’t work, but it didn’t take long for me to figure out why — I had accidentally bought gold coin-alloy, which is 10% copper, not pure gold. Since this alloy is far less malleable than pure gold, my attempt to flatten it had failed, but I also knew this would not pose a problem for my primary experiment — the one involving aqua regia. Also, I didn’t have another spare $80 handy, to purchase another 1/10 troy ounce of pure gold, so I proceeded to make, for the first time in my life, a small amount of aqua regia — Latin for “royal water.”

Unlike what is shown in the video above, I prepared the acid-mixture first, before adding the gold, using a slightly-different recipe:  the traditional 1:4 ratio, by volume, of concentrated nitric acid to concentrated hydrochloric acid. Both these acids look (superficially) like water, but the mixture instantly turned yellow, and started fuming, even before anything was added to it. Wearing full protective gear, I watched it for a few minutes — and then, using tongs held by gloved hands, lowered my hammer-bashed sample of gold into the fuming, yellow mixture of concentrated acids.

It worked. It was a fascinating reaction, and a lot of fun to watch. At approximately the same time that the last of my gold sample dissolved, something occurred to me:  I had failed to research how to recover the dissolved gold from the resulting solution! No problem, I thought — I can figure this out. (I am seldom accused of lacking self-confidence, even when I’m wrong.)

My first idea was to use a single-replacement reaction. Many times, I have had students extract pure silver from a solution of silver nitrate by adding a more-active metal, such as copper. The copper dissolves, replacing the silver in the silver nitrate solution, and silver powder forms, as a precipitate, on the surface of the copper. Thinking that a similar process could be used to precipitate out the gold from my gold / aqua regia mixure, I simply added come copper to the reaction beaker. The corrosive properties of my aqua regia sample had not yet been exhausted, though, and so the remaining aqua regia simply “ate” the copper. The result was a mess — I had only succeeded in turning an already-complicated problem into an even-more-complicated problem, by adding more chemicals to the mixture. More attempts to turn the gold ions back into solid gold dust, using other chemicals, followed, but all of them failed. Finally, I used a strong base, sodium hydroxide, to neutralize the still-acidic mixture, and then, disgusted by my failure to recover the gold, found a way to safely dispose of the mixture, and did so.

In retrospect, I think I know where I messed up — I should have neutralized the remaining acids in the mixture with sodium hydroxide first, before adding copper to cause the gold to precipitate out, in a no-longer-acidic solution of ions with much less hydronium present. That, I think, will work, and I do intend to try it sometime — after doing more research first, to increase my level of certainty, and also after waiting for the current price of gold to drop to less-expensive levels. Right now, after all, a tenth of a troy ounce of gold costs roughly $120, not a mere $80.

As for the lost $80, I’m not upset about that anymore. I definitely learned things while doing this, and now view the $80 spent as simply the cost of tuition for an educational experience.

At Least for Me, Blogging > Writing a Book

stack-of-books-images-Stack-of-Books-books-to-read-2998208-550-408

I’ve been asked, more than once, if I’ve ever considered writing a book. The answer: writing a book, as compared to maintaining a blog, would drive me crazy. The reason is simple: every book I’ve every read has at least one typo in it — somewhere. If I wrote a book, got it published, and then found writing mistakes in it, I’d be mortified. With a blog, on the other hand, I can edit mistakes away, months, or even years, after making them.

There aren’t many things that embarrass me, but making errors in writing is definitely one of them. If others can see the errors, then having committed the “sin” of writing incorrectly feels like being caught naked in public — eeeeek!

Recovering from Theophobia: My Personal, Secular Jihad

640px-Lutte_de_Jacob_avec_l'Ange

The image above is a 19th-Century painting by Eugène Delacroix, depicting the story of Jacob, wrestling with a being often described as an angel, as described in the Book of Genesis. An interesting part of the story is that there were no witnesses to this struggle in the darkness (“So Jacob was left alone, and a man wrestled with him till daybreak,” Gen. 32:24, NIV), which tells me that the conflict could have occurred entirely inside Jacob’s mind. It does not matter if there was, or was not, an actual person, named Jacob, who had such an experience. No supernatural beliefs are necessary to find this story interesting, and there is no good reason to avoid thinking about it.

Thought is, of course, a mental activity which can bring clarity to confusing things in life, just as a sunrise can enable one to see things which have previously been hidden by night. There are times when thinking requires solitude, and the process of figuring out difficult problems usually doesn’t succeed without some sort of internal struggle. If you have ever wrestled with a single, difficult mathematical problem for several days running, as I have, then you understand this already — but the need for clear, rational thinking is certainly not limited to the field of mathematics. Rational thought is important in all parts of life.

Whether we like it or not, life contains a series of both external and internal struggles. Many people dislike conflict, and go to great lengths to avoid it. I am not one of those people, but this is not by choice. It is, rather, a result of the fact that I was born into an intense struggle-in-progress:  the efforts of my now-deceased father, a religious fanatic, to control the lives of everyone around him, and use them for his own selfish purposes — and the efforts of some of these other people, myself included, to escape his efforts to control every facet of our lives. From an early age, out of necessity, I had to develop complex techniques of mental and verbal combat, both defensive and offensive, simply to survive childhood with some semblance of sanity intact — although the resulting PTSD, from growing up in the war zone I called “home,” is something with which I will always have to cope. My earliest memory, after all, is surviving shaken baby syndrome at age 2½, and that sort of experience simply cannot be escaped without consequences.

My mental-combat techniques still exist, available for use at any time of my choosing, and can have devastating impact on others — I seldom lose an argument — but using these verbal and mental weapons at full power is, I now realize, quite dangerous, more so to myself than to anyone else. Now, decades later, I still have to be careful not to be overly eager to jump headlong, as if by instinct, into any conflict which presents itself, especially if I see those I care about being bullied, or otherwise abused. I have neither the time, nor the mental energy, to fight every single injustice I see, but it took many years for me to understand the wisdom of the well-known saying that it is important to choose one’s battles carefully.

The word “jihad,” which I deliberately used in the title of this post, is complex, and has multiple definitions. It is also an emotionally-charged word, and out-of-control emotions are, perhaps, the greatest enemy of rational thought. So, first, please understand this: when I use this word, I am not referring to any sort of “holy war,” which is the first thing that comes to mind, for many people, when they hear what I sometimes call the “j-word.” I am also not making any sort of comment for, nor against, Islam, but am simply borrowing a word from another language, Arabic, because it applies so well to much of my own life. Another definition you will find here is “a personal struggle in devotion to Islam especially involving spiritual discipline” — in other words, an internal struggle to do the right thing. While I am not religious in any conventional sense, I definitely understand the important idea of an internal, mental — or “spiritual,” if you prefer — struggle. My personal internal struggle involves a never-ending effort to maintain self-control, especially over destructive emotions, such as hatred, and fury. Fury isn’t simply anger, after all — it goes far beyond that. It is an absolutely horrific state of mind where one is so overcome by anger that the rational self becomes utterly consumed by white-hot, blinding rage.

For years, without realizing it, I was a theophobe — hardly surprising, considering the religious elements of the more unpleasant parts of my childhood. Theophobia is not a familiar word to most people, but it can exist in both religious and non-religious people, and can be defined as an irrational fear and hatred of God, religion, religious people, and religious institutions, such as churches and mosques. There have been entire years — especially since the Catholic Church’s pedophilia scandal blew wide-open in the media, worldwide — when I could not bring myself to go near a church of any denomination, let alone enter one, for fear that being near such a place would trigger a panic attack, or, even worse, a PTSD “freakout” episode. It isn’t hard to spot theophobes, of course; they are easily identified, especially among the much larger, rapidly-growing group of people who call themselves atheists. You probably know at least a few atheists yourself, and might have noticed that some of them seem to be at peace with life, and can easily interact peacefully with religious people — while others are a perfect fit for the “angry atheist” stereotype, attacking religion as if it were the source of all evil in the world. It isn’t, but that didn’t stop me from thinking that it was, for many years.  Recovering from theophobia is not easy, and is definitely a struggle, but is also very much worth the effort.

Unusually, several of the people I am now grateful to, specifically for helping me recover from theophobia, are practicing Muslims. This doesn’t fit the stereotype of Islam portrayed in the Western media, of course. If you get all of your information about Islam from stories in the news, you might think all Muslims hijack airplanes, commit suicide bombings, oppress women, and decapitate “infidels” every time they get they chance. Fortunately, I started using another approach, while still in college:  conversation. Simply by talking to Muslims I am now proud to call my friends, I have learned several things, among them that most Muslims are kind and decent people, and also that most Muslims intensely dislike the extremists within Islam — about as much as the average Christian dislikes, say, the Westboro Baptist Church. Adding practicing Christians to the list of people I can successfully engage in productive conversation took a lot longer, but the reason for this has absolutely nothing to do with Christianity, and everything to do with my own personal history. My father was, after all (among many other things), an ordained Christian minister. Later, he moved through several other religions, attempting to drag my family along with him, and these religions included his own warped version of amalgamated Native American religious traditions, the Soka Gakkai sect of Buddhism, and several others. A notable absence on this list — one of the few religions with which my father never developed an obsession — is Islam. This fact made Islam, and those who practice it, a logical place for me to start the process of making peace with certain inescapable facts: (1) the world contains billions of religious people, most of whom are not dangerous fanatics, and (2) religion is not going away any time soon, no matter how much the furious theophobes of the world rage against it.

This personal recovery-process is not over; I still have much internal, mental work left to do, especially when it comes to establishing peace with Christianity, the world’s largest religion. The important thing, at this point, is that I am doing it. I’m quite happy to have left the “angry atheist” phase of my life in the past, where it belongs, and have no intention of returning there.

What Is a Mathematician?

erdos