Energy featured

Inexhaustible Flows?

February 21, 2024

I recently came across a statement to the effect that once we transition away from fossil fuels to renewable energy like solar, wind, and hydro, we would essentially be home free for the long run—tapping into inexhaustible flows. It is a very pleasant notion, to be sure, and one that I believe is relatively common among enthusiasts for renewable energy.

Naturally, I am concerned by the question of: what magnificent things would we do with everlasting copious energy? As an excellent guide, we can ask what amazing things have we done with the recent bolus of energy from fossil fuels? Well, in the course of pursuing material affluence, we have eliminated 85% of primeval forest, made new deserts, created numerous oceanic dead zones, drained swamps, lost whole ecosystems, almost squashed the remaining wild land mammals, and initiated a sixth mass extinction with extinction rates perhaps thousands of times higher than their background levels—all without the help of CO2 and climate change (which indeed adds to the list of ills). These trends are still accelerating. Yay for humans, who can now (temporarily) live in greater comfort and numbers than at any time in history!

But the direction I want to take in this post is on the narrower (and ultimately less important) technical side. All the renewable energy technologies rely on non-renewable materials. Therefore, inexhaustible flows are beside the point. It’s like saying that fossil fuel energy is not practically limited by available oxygen for combustion, so we can enjoy fossil fuels indefinitely. Or that D–T fusion has billions of years of deuterium available, when there’s no naturally-occurring tritium (thus reliant on limited lithium supply). In a multi-part system, the limiting factor is, well, the limiting factor. Sure, into the far future the sun will shine, the wind will blow, and rain will fall. But capturing those flows to make electricity will require physical stuff: all the more material for such diffuse flows. If that stuff is not itself of renewable origin, then oops. The best guarantee of renewability is being part of natural regeneration (i.e., of biological origin). If solar panels, wires, inverters, and batteries were made of wood and the like: alright, then.

Recognizing that biological organisms—plants and the animals that directly or indirectly draw energy from them—have already figured out how to tap into (essentially) inexhaustible flows—solar, primarily—I became interested in comparing the performance of the human animal to that of a solar panel or wind turbine, in terms of mineral requirements. After all, the biosphere gets by without mining the depths. So let’s dig into the material requirements of life.

A Pinch of Dirt

Human construction requires very few mineral elements that do not come to us from water and air. I think that’s really cool. Our caloric intake consists of carbohydrates, fat, and protein—the whole set requiring only four elements that are obtained from air and water.

This Wikipedia page provides a compositional breakdown of the human body—presented both by mass and by atoms. Note, however, that the two forms listed on the Wikipedia page are not wholly self-consistent, so I arbitrarily adopt the by-atom numbers (more significant digits, meaningful or not) and produce by-mass fractions from them—though the result is not qualitatively different if starting from the by-mass numbers instead. Below are two tables that capture approximate numbers, broken up according to elements that derive from air and water, and those that we get from the ground. The first table also notes the elemental origins within our environment.

ELEMENT % MASS % ATOMS SOURCE
Oxygen 61.2 24.0 direct from air and water
Carbon 23.0 12.0 air via plants/photosynthesis
Hydrogen 10.0 62.0 water: direct and via plants/sugars
Nitrogen 2.5 1.1 air via plants and microbes
Totals 96.7 99.1

So, about 99% of the atoms in our bodies come from air and water, often processed by other lifeforms before entering our mouths. That’s a very neat trick! By mass, it’s 97%. The difference is due to the most abundant elements in our bodies being on the lighter side (especially hydrogen), while the rarer minerals tend to be heavier atoms. Now for the dirt elements.

ELEMENT % MASS % ATOMS
Calcium 1.4 0.22
Phosphorus 1.1 0.22
Potassium 0.19 0.03
Sulfur 0.19 0.038
Sodium 0.14 0.037
Chlorine 0.14 0.024
Magnesium 0.06 0.015
Totals 3.22 0.574

Other minerals appear in trace amounts, totaling a small fraction of one percent. The elements in the table above are typically found in soils and rocks, accessed by fungi and roots. The comparatively small amount of ash left over from burning a log completely tends to be composed of elements on this list. The sources of these elements in our diets can be found on this website (and similar variants on the URL for other elements).

 

Power Performance

Now let’s look at the material efficiency of the human body and compare to that of a solar panel. According to the United Nations’ Food and Agriculture Organization, the global average caloric intake is 2,800 kcal per day, translating to an average continuous power of about 135 W. The mineral requirements to accomplish this constitute just over 3% of body mass, or 2 kg for the global average body mass of 62 kg. Thus, a human achieves roughly 70 W per kilogram of minerals. Note that even though the human body is only 20–25% efficient at converting metabolic energy into external mechanical work, the rest is not waste to us: it provides crucial thermal energy to keep body temperature up, and thus counts as a critical contribution.

Let’s look at solar panels. Typical 60-cell panels produce 300 W in full sun, and have a mass around 20 kg. Straight away we compute 15 W/kg—a factor of five lower than human performance. But to be fair, we must account for the fact that the sun is not always directly in front of the panel, producing a typical capacity factor of 20%, or an average power delivery of 60 W. Now the deployed panel delivers 3 W/kg: less than 5% as “efficient” as a human, in mineral terms.

Massive wind turbines at 20% capacity factor (typical global average) score even worse, at 0.4–0.6 W/kg. Without the mass-dominant concrete pad, a wind turbine would pump out 1.6–2.4 W/kg, for the short time it remained standing.

Just as a wind turbine needs a mounting base, a realistic utility-scale solar deployment has a material mass far in excess of the bare panels: support structures, interconnect wiring, inverters, storage (if truly replacing fossil fuels). I would not be surprised if a whole-system figure dropped to 1 or 2 W/kg, while humans stay smugly perched at 70. The score for wind would erode as well once other necessary components are considered—especially storage. Moreover, the minerals needed by humans are in wide circulation within the community of life at the surface: no mining (and associated tailings, energy, processing, pollution) necessary.

Thus, biology has far exceeded technology in capturing the inexhaustible flow from the sun using a minimum of minerals—and those being extracted from and re-deposited to the soil in a continuous, self-sustaining cycle, importantly. Biology and evolution really figured things out! Modernity looks like a bumbling idiot by comparison—like R2D2 in a stair-climbing competition against an athlete.

Replacement Considerations

What about the fact that the human body does not store its minerals indefinitely, but requires dietary replenishment? By contrast, solar and wind infrastructure lasts a few decades (it is not indefinite, either). To get a lower limit for replenishment times, I look at the recommended daily allowance (RDA) of minerals, provided at this site, represented as the RDA column in the table below.

ELEMENT RDA (G) IN BODY (G) DURATION (DAYS)
Calcium 1.0 870 870
Phosphorus 0.7 670 960
Potassium 3.0 120 40
Sodium 1.5 85 60
Chlorine 2.0 85 40
Magnesium 0.35 40 110
Total 8.55 1870 220

Dividing the amount of elemental mass in the body (obtained via mass percentage in the second table) by the RDA produces a timescale for complete replacement, as indicated in the last column of the table above. It makes some sense to me that calcium and phosphorus—locked up in bones—would persist for a long time, while mediators of biochemistry might flush more routinely. Still, I would imagine the RDA numbers to be conservative (a bit overkill; while staying short of harmful), translating into a more mineral-hungry portrait than is actually necessary. For instance, it seems unlikely that the average dwell time of calcium in your bones is just a few years. I’d be willing to bet that an RDA-consuming person passes unabsorbed calcium (and other minerals) in their poop. But I’m not likely to wade in there, experimentally.

In any case, in a 24-hour day, our 135 W standard human cranks out 3.2 kWh of energy, requiring daily intake of 8.55 grams of minerals according to the RDA standard. In order to compare to renewable energy figures, I’ll translate into tons per TWh to get about 2,600 tons of mineral input needed to produce one TWh of human metabolic energy (probably a lot less under actual body requirements).

According to Table 10.4 of the Department of Energy Quadrennial Technology Review, the production of electricity entails the following material requirements (in the form of aluminum, concrete/cement, copper, glass, steel, etc.):

TECHNOLOGY TON/TWH FACTOR
Coal 1185 0.45
Gas 572 0.22
Solar PV 16447 6.2
Wind 10260 3.9
Hydro 14068 5.3

We see that on this measure as well renewable energy technologies are more mineral-hungry than biological systems (at 2,600 ton/TWh) by substantial factors—and more if RDA is conservatively overstated. Moreover, the required elements are different from those needed for life—more “exotic” so-as to require mining, vs. readily at hand on the surface in biological circulation.

To help appreciate this difference, imagine placing an end-of-life solar panel and all its accompanying stuff out in the forest. What components are eagerly eaten by the resident biology?  At the same time, put a dead plant or animal next to the solar junk and come back in ten years.  One will be much the same, while the microbes and fungi have consumed the other, leaving no discernible trace.

Note that the fossil fuel entries in the table above are “cheating” by not including the mass of the fuel itself. The intent is to capture the infrastructural “machinery” needed to convert the flow to electricity. At energy densities of 6 and 13 kcal/g for coal and gas, respectively, the corresponding ton/TWh numbers translate to 143,000 and 66,000—numbers typical of chemical energy. I could make the case that the numbers in the table are still fair in the materials sense, counting the elements that are not provided by derivatives of air and water via photosynthetic processes—much as we ignored the bulk of the human mass (and food intake) for the same reasons. Missing in the other direction is ore purity and thus mine tailings, which can exceed the end-product material mass by factors of hundreds, so that the total extracted mass is far larger than indicated in the table above. Still, this post is not intended as an argument for or against fossil fuels.

One point to note is that for every ton of fossil fuel removed from the land, another six tons are removed in the form of sand, metal, rock, and wood. Inferring from the table and figures above (and common sense), these materials are not primarily devoted to the machinery needed to burn fossil fuels (i.e., engines and power plants). They are going to the human enterprise called modernity: buildings, roads, consumer goods, etc. Replacing modernity’s engine with another source, like renewable energy, aims to keep the bulk of material extraction in full swing—in fact enhancing it to supply the extra materials necessary for diffuse renewable energy to function.

The Inexhaustible Point

For all intents and purposes, biology has figured out a way to tap into the continuous and (seasonally) reliable flow of solar energy using a bare minimum of mineral requirements from the land’s surface. It took billions of years to solve this very hard problem. One could consider the result to be a “circular economy,” in that minerals are recycled into the environment and taken in by microbes, fungi, plants, and on up the food chain. By working within the strictures of multi-level selection (evolution) subject to long-term ecological viability in relation to other life, the result has the word “sustainable” effectively built in: sustain-a-built.  No?  Okay, yeah, that’s pretty lame.

Our technologies are clumsy and materially insatiable, by comparison—no surprise, given the short development time and our complete disregard for the unforgiving constraint of sustainable practices. Make no mistake: “renewable” energy is not the same as sustainable technology. The only demonstrated sustainable technologies to date are those found outside modernity, in the biodiverse ecological realm (including things made from wood and plant materials, for instance). Until a technology achieves closed-loop sustainability in concert with the rest of the community of life—which may not be possible—it’s not truly “renewable.” Systems that require mining, produce mine tailings/pollution, destroy habitats, and result in collateral damage in the form of permanent species extinctions can’t be considered to be long-term viable, in my view—just part of the jaw-dropping fireworks show that will soon shock itself by self-terminating. Nobody could have seen it coming!

A typical unsubstantiated knee-jerk reaction is that aggressive/complete recycling could address the concerns. But recycling yield is always going to disappoint, so that a moratorium on new mining (or simple exhaustion of economically recoverable material as the low-hanging fruit is depleted) would result in a slow dwindling of available materials until the weakest link falters below some minimum threshold required to keep the industry alive—likely on a timescale that is lightning-fast compared to that of ecological evolution. Recycling also consumes copious energy: more and more as higher and higher yields are sought. It becomes self-defeating: from what source does such energy come, and at what additional material cost? Plus, I always return to the question of what we use the energy to do. Thus far, it’s been 99.9% unsustainable activity (my crude guess: vanishingly little goes into restoration of ecological damage).  Sixth mass extinction, anyone?

So: technology is on the verge of inexhaustibly tapping into inexhaustible flows?  I don’t think so.

It should not be surprising that we have not yet been—and may never be—able to engineer long-term-sustainable modernity (i.e., high-tech). I strongly suspect that’s not even a thing. Why on Earth would we just assume that it’s possible? Where does that hubris come from? It’s not from a thorough analysis in full ecological context, and certainly not from any demonstration. It’s just a lazy and wishful assumption based on the brief and highly anomalous window on the world to which we’ve been exposed. Comparing modernity-relevant timescales to those relevant to evolution, and looking at the profligate rate of one-time inheritance spending (i.e., of non-renewable resources) that has been required to produce modernity tells us a lot.  Unlike biology, this ain’t built to last.  I know which team is a better long-term investment—the ultimate victors unless everyone loses first.

Tom Murphy

Tom Murphy is professor emeritus of Physics and Astronomy & Astrophysics at the University of California, San Diego, where he spent two decades studying astrophysics and leading a lunar laser-ranging experiment that tested General Relativity with one-millimeter range precision. Following his instincts to educate, Murphy is eager to get people thinking about the quantitatively convincing case that our pursuit of an ever-bigger scale of life faces gigantic challenges and carries significant risks, which he explores in his Do the Math blog and related writing.

Note from Tom: To learn more about my personal perspective and whether you should dismiss some of my views as alarmist, read my Chicken Little page.

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pokiwi
pokiwi
2 years ago

That will be why we mine resources with teaspoons, then? And only on alternate Saturdays, for a maximum of 7 minutes.

Not.

You might be a chemist, but I’ve seen mining. And – more to the point – I’ve seen the ghost-towns which were abandoned when the mines were worked out. Even more to the point, I’ve watched the increase in mineral extraction:
https://www.world-mining-data.info/wmd/downloads/PDF/WMD2022.pdf

Go to page 4, the right-hand graph. That’s ‘we’; if your comment is about individual chemistry, it’s a bit like identifying cities as having a compact ecological footprint, by ignoring the fact that all the surrounding land is feeding it (making its footprint orders-of-magnitude bigger). So too with us; all that mining is for us. That’s what we choose to ‘need’.

Incidentally, that graph says we peaked total mining volumes in 2018/19…

pokiwi
pokiwi
2 years ago

There is one major window, which most ignore. The deniers ignore because they don’t allow for the possibility of de-growth or collapse; the GND types ignore because we can green-and-party-on.

But given that collapse of a ponzi is inevitable (and fiat-issued ‘money’ is nothing more than a forward bet on future availability of energy and resources; too much issued proxy and a dwindling supply of energy and/or resources, says that belief will implode; shares crash, banks fail, trust evaporate) we must contemplate post-crash life.

And there will be – because it already exists – a huge inventory of ALREADY MADE stuff. Vehicles, process machinery, dead this and that. For perhaps a century, the repurposing of this material – into relevant technology – will be a skill-set valued perhaps above all other. Some of us have lived that way for a lifetime; my micro-hydro was born of a washing-machine motor, 6 diodes, some 10mm copper cable… The lid on our solar cooker is a Subaru (hatch) boot-lid, our solar shower is a 100mm-deep tray of water under a glass shower-door; our best wheelbarrow is an acrylic bath with two motorbike wheels and two long shafts (like a dog-cart). The solar column on the East wall of our house (morning sun gain) is two old ranch-slider doors, one above the other, 50mm off the (black-painted) wall.

I joke – unfunnily – that people will specialise in turning Ford Rangers into old-school windmills… But I do think this is an underdiscussed arena….

Jag_Levak
Jag_Levak
2 years ago

Yes, I apparently did a surplus prefix conversion, so that should have been 45 grams per GWh, or 45 kg. per TWh. (My assumption was that your figure for a TWh of human metabolic energy was thermal, rather than electric. No?) With in situ leach uranium mining, ore purity is less important than it used to be. With mining uranium from seawater, the purity won’t matter at all for many centuries. I wasn’t proposing to forget about the 930 tons, but you were pointing out how poorly wind and solar fare against the 2600 tons mineral input per TWh of human energy, and nuclear fares pretty well in that comparison. The concrete from nuclear construction is mostly not recyclable, but new kinds of nuclear could greatly diminish the concrete needs, and is anyone foreseeing us running out of the resources needed to make all forms of concrete? Steel is the other major structural material, and that fraction was only 160 tons per TWh. At, say, 20 MWh to produce one tonne of steel from ore, seems like 1 TWh would be enough energy to produce 50,000 tonnes of steel. And recycling steel uses a lot less energy, and steel can be recycled at close to zero loss, so it isn’t readily apparent to me why recycling steel to sustain the nuclear builds wouldn’t work.

Tom Murphy
Tom Murphy
2 years ago

Well, you’re off by 2500x (average fission yield is 200 MeV, or about 0.1% of mc^2; plant delivers 40% of thermal yield as electric TWh) to make 110 kg/TWh, and your factor of 1,000 allowance for ore purity puts it at 110 tons/TWh, which is indeed small relative to 930, but we can’t just forget the 930 (which itself does not include ore purity, etc.). Still, we’re talking about complete dependence on non-renewable materials, and I don’t buy the recycling potential as a get-out-of-jail free card, for reasons I’ve discussed. Going from “renewable” energy to a non-renewable form isn’t a path to sustainability. Much more to the story than nuclear energy density…

Jag_Levak
Jag_Levak
2 years ago
Reply to  Tom Murphy

“average fission yield is 200 MeV”

Addendum: Assuming 1 gram of U-235 contains roughly 2.56 x 10^21 atoms, that would yield 512 x 10^21 MeV per gram fissioned. Since 6.2415 × 10^12 MeV = 1 joule, 1 gram would yield 82 GJ. So to produce 13 TJ would require fissioning 158.5 grams, which means producing power at the rate of 13 TJ per second (i.e. 13 TW) would require fissioning 158.5 grams per second. This figure looks like a significant divergence from the 20 grams per second given on the “nuclear options” page at the dothemath blog (first sentence, “fuel availability” section). Do you see a defect in my math?

Also, I don’t know if you ever did your follow-up on molten salt thorium, but my view is that its biggest challenge will be dealing with the high proliferation hazard. Any thorium reactor that includes a protactinium separation phase inevitably includes the means to easily produce U-233 at far higher purity than is possible with U-235 and Pu-239, and U-233 has a much smaller unreflected critical mass than U-235.

Andrew Randrianasulu
Andrew Randrianasulu
2 years ago

[I skipped main argument because I definitely share same worry]

but. I definitely have this line stuck in my head from one book recommended here, that slavery (at least most obvious forms of it) was abolished *exactly* during period when ff use was on the rise – railroads, steam locomotives, much of metal production … this is not something sitting well with me. We may not need technic if we all become anarcho-primitivists for free, but I do not think/feel this miracle will just descend on us. So … some tech might be useful in fighting off slippery slope back to ‘justifable’ slavery, both for humans and other animals. So idea is to stop treat tech as complete enemy and go back to its roots as art/craft/work by live humans, so there will be respect/balance between normally live stuff like plants/animals and stuff not biologically alive but complex and prone to entropy-based degradation (some paint for houses, some oil for gears… but ofc w/o cleaning up forests, even if in supposedly sustainable manner … a bit of minimalism but with enough time/stuff around to be hospitable. )

iconickevin
iconickevin
2 years ago

What an absolutely laser guided article, incredibly ‘on point’, however inconvenient the measured conclusions may be.
This paragraph resonated with my philosophy of interdependence between All Species.
“So, about 99% of the atoms in our bodies come from air and water, often processed by other lifeforms before entering our mouths. That’s a very neat trick!”
Spectacular observation.
Guess what team, without those microbes, single cell organisms and everyone above in the web of life, we cease to exist, we’re all codependents.
It isn’t rocket science, it’s biology.
It’s refreshing not to be alone in pointing out what is ultimately the “Bleedingly Obvious”.

Added to the comments section below, thank you.

https://kevinhester.live/2016/05/14/sustainabilitys-place-in-killing-the-living-planet/comment-page-3/#comment-20588

Venkataraman Amarnath
Venkataraman Amarnath
2 years ago

As a chemist I want to point out that we need minerals in only small quanitities, in dilute solutions and not in pure form.

Gerald Lindner
Gerald Lindner
2 years ago

In the Servitude of Power: Energy and Civilization Through the Ages the authors point out: “the efficiency of the human-machine [20%] is the highest of the animal kingdom. That of the horse, for example scarcely rises above ten per cent and that of the ox is still lower.”

Hence. the painful truth is that slavery, in terms of biological efficiency of energy resources, made perfect sense. It’s the reason it appeared in every single civilization across the globe….until we started using “fossil” fuels….so the interesting question is what will happen when we stop using them?…