On molar mass and ideal gas

I recently started reading Andy Weir’s The Martian which is supposed to be the hardest of hard science fiction, written by the son of a particle physicist and scientifically accurate in every possible respect. We’ve heard that story before, so I was not surprised to find the first error (claiming that desiccated stool would be completely free of bacteria) about 13 pages in. Then I got to page 24 and it got bad. Really, really bad. Bad enough that I wouldn’t be surprised if Weir’s physicist father disowns him.

The protagonist, astronaut Mark Watney, is stranded on Mars and believed dead. He has calculated that he has no chance of surviving until a rescue mission arrives (not least because he has no way of informing anyone that he is still alive), but decides to try anyway. He plans to grow food inside the habitat using a mixture of Martian soil, Terran soil that was brought along for experiments, and his own waste. But he needs water:

There isn’t a lot of water here on Mars. […] I’ll have to make it from scratch. […] Take hydrogen. Add oxygen. Burn.

Burning a stoichiometric mixture of hydrogen and oxygen is actually very dangerous, which is not mentioned, but Watney does reflect on the danger of extracting hydrogen from hydrazine, so I’ll let it slide. But let’s see how he plans on obtaining oxygen:

I have a fair bit of O2 reserves, but […] only enough to make 100 liters of water (50 liters of O2 makes 100 liters of molecules that only have one O each). […] That’s where the MAV fuel plant comes in. […] Once I get the fuel plant hooked up to the Hab’s power, it’ll give me half a liter of liquid CO2 per hour, indefinitely. After ten sols it’ll have made 125 liters of CO2, which will make 125 liters of O2 after I feed it to the oxygenator.

Now for hydrogen, from what’s left in the hydrazine-powered descent module’s fuel tanks:

Each molecule of hydrazine has four hydrogen atoms in it. So each liter of hydrazine has enough hydrogen for two liters of water.

The first red flag is that Watney uses units of volume instead of mass, which is inappropriate when calculating quantities for a chemical reaction. Watney is a mechanical engineer and would have been thoroughly trained in the correct use of units, even if chemistry is not really his field. I also doubt he would use the chemical formulas for carbon dioxide, water etc. in daily conversation or in a diary destined for laypeople, but I understand why Watney (or rather Weir) did it: he wants the reader to be able to count H’s and O’s and follow Watney’s calculations. Unfortunately, his calculations are unsound, because you have to add up mass, not counts.

It is not initially clear whether Watney is talking about gases, liquids or solids. Since he will be working in the habitat, close to standard conditions of temperature and pressure, it is not unreasonable to assume that the CO2, O2 and H2 are in gas form and the H2O is liquid. But it seems Watney himself is confused: when he says that the fuel plant will make “125 liters of CO2, which will make 125 liters of O2 in ten sols, he is right… if he is talking about gases, but not if he is talking about liquids (“it’ll give me half a liter of liquid CO2 per hour”).

In reality, 1 l of liquid CO2 at a density of 770 kg·m-3 contains (770 / 44) * 32 = 560 g of oxygen, barely enough for 0.5 l of liquid O2 at a density of 1141 kg·m-3. Since 1 l of water requires (1000 / 18) * 16 = 889 g of oxygen, 1 l of liquid CO2 will only provide enough oxygen for 0.63 l of water.

Meanwhile, 1 l of liquid N2H4 at 1021 kg·m-3 contains (1021 / 32) * 4 = 128 g of hydrogen, which is enough for slightly more than 1 l of water ((1000 / 18) * 2 = 111 g), not the 2 l Watney claims.

It would be different if he was operating exclusively with gases. Assuming the ideal gas law is sufficiently accurate (which depends on temperature, pressure and molecule size), and assuming conditions of temperature and pressure under which carbon dioxide, hydrazine and water are all in gas form, one liter of carbon dioxide and one liter of hydrazine vapor contain enough hydrogen and oxygen for two liters of water vapor (which is not the same as steam) plus one liter of nitrogen and a few grams of solid carbon.

Finally, Watney mentions that some of the reactions he relies on are extremely exothermic, but not that releasing liquid carbon dioxide into the habitat’s atmosphere will dramatically lower the temperature. The exterior temperature is never mentioned, so I cannot comment on the effect of bringing in soil and hydrazine, nor on the state of the hydrazine, which has a melting point of 2 °C and is therefore very likely to be frozen solid.

I’ll keep reading, for the same reason I sometimes watch CSI (but not CSI Miami): the story and characters are sufficiently engaging that I can overlook the bad science, as long as they’re not waving it in my face. The Martian is flying dangerously close to Gap territory, but at least the text flows well and the characters are likable. For now.

Mechanical Advantage

New rims¹ on my little bug-eyed baby, because one of those that came with it was bent (not noticeable to the naked eye—I only found out when I went to have them rebalanced). I also removed the spacers that a previous owner had mounted on the rear wheels. This made a world of difference. The ride is much smoother, and the car now absorbs bumps and potholes firmly instead of crashing over them.

This is basic physics. Spacers increase the mechanical advantage of the wishbone² and necessitate upgraded springs and shocks, whereas this car came fitted with aftermarket shortened springs and adjustable shocks which seem to be set to the firmest setting (I can’t easily check because the adjustment knobs are missing). I also think lateral stability improved a bit, but I’m still not entirely satisfied. However, I’ve already blown over £1,000³ on parts, so new tires will have to wait.

I also replaced the PCV valve and grommet in the hopes that it would ameliorate the idle speed issues, but it didn’t. I will probably have to refurbish the ISC valve and / or the air valve; my guess is that some of the moving parts in the air valve stick when cold. The new PCV valve and grommet should however stop aerosolized engine oil from spraying all over the camshaft cover and inlet manifold.

Next project for a rainy day: clean and polish the camshaft cover and replace the leaky gasket.

These are the downsides to buying a 22-year-old sports car whose previous owners thought they knew what they were doing…


¹ Martins Image Arctis 7″×16″; it’s hard to find sporty rims in that dimension. I have a set of the relatively rare love-’em-or-hate-’em stock Mazda 14″ “daisy wheel” rims, but they need sanding and respraying, and the hubcaps are missing. I might just PlastiDip them for now and use them for snow tires.

² A double wishbone suspension is not a classical example of lever and fulcrum, because the effort (weight of the car on the wheel) and resistance (spring) are on the same side of the fulcrum (inboard end of the wishbone). However, the principle and the equations are the same.

³ I get most of my parts from the UK, which apparently has a *huge* market for new and used MX-5 parts.

SSLv3

UPDATE 2014-10-14 23:40 UTC The details have been published: meet the SSL POODLE attack.

UPDATE 2014-10-15 11:15 UTC Simpler server test method, corrected info about browsers

UPDATE 2014-10-15 16:00 UTC More information about client testing

El Reg posted an article earlier today about a purported flaw in SSL 3.0 which may or may not be real, but it’s been a bad year for SSL, we’re all on edge, and we’d rather be safe than sorry. So let’s take it at face value and see what we can do to protect ourselves. If nothing else, it will force us to inspect our systems and make conscious decisions about their configuration instead of trusting the default settings. What can we do?

The answer is simple: there is no reason to support SSL 3.0 these days. TLS 1.0 is fifteen years old and supported by every browser that matters and over 99% of websites. TLS 1.1 and TLS 1.2 are eight and six years old, respectively, and are supported by the latest versions of all major browsers (except for Safari on Mac OS X 10.8 or older), but are not as widely supported on the server side. So let’s disable SSL 2.0 and 3.0 and make sure that TLS 1.0, 1.1 and 1.2 are enabled.

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DNS improvements in FreeBSD 11

Erwin Lansing just posted a summary of the DNS session at the FreeBSD DevSummit that was held in conjunction with BSDCan 2014 in May. It gives a good overview of the current state of affairs, including known bugs and plans for the future.

I’ve been working on some of these issues recently (in between $dayjob and other projects). I fixed two issues in the last 48 hours, and am working on two more.

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I can’t stop thinking

I’m borrowing a line from Scott McCloud because it’s been stuck in my head since the day I first heard it (or rather read it) way back in 2000, and sometimes it really resonates with me for a completely different reason.

This weekend has been very productive (and satisfying) but also very tiring. I went to bed expecting to sleep soundly, although I often have trouble falling asleep on Sundays.¹ I nodded off two or three times over my Kindle before putting it away and lying down. I promptly fell asleep and had some very disturbing² dreams before waking up again, barely fifteen or twenty minutes later. Then I started thinking.

And I can’t stop thinking.

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