01.08.2021 Views

Energy and Human Ambitions on a Finite Planet, 2021a

Energy and Human Ambitions on a Finite Planet, 2021a

Energy and Human Ambitions on a Finite Planet, 2021a

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

15 Nuclear <str<strong>on</strong>g>Energy</str<strong>on</strong>g> 258<br />

Element Abund. Element Abund. Element Abund.<br />

silic<strong>on</strong> 282,000 carb<strong>on</strong> 200 thorium 9.6<br />

aluminum 82,300 copper 60 uranium 2.7<br />

ir<strong>on</strong> 56,300 lithium 20 silver 0.075<br />

calcium 41,500 lead 14 235U<br />

0.02<br />

titanium 5,650 bor<strong>on</strong> 10 gold 0.004<br />

Table 15.9: Example material abundances<br />

in the earth’s crust, in parts per milli<strong>on</strong> by<br />

mass.<br />

approach. First, we take 0.72% of the 7.6 milli<strong>on</strong> t<strong>on</strong>s available to<br />

235<br />

represent the porti<strong>on</strong> of uranium in the form of U. Enrichment (next<br />

235<br />

secti<strong>on</strong>) will not separate all of the U, <str<strong>on</strong>g>and</str<strong>on</strong>g> the reactor can’t burn all of it<br />

away before the fuel rod is essentially useless. So optimistically, we burn<br />

235<br />

half of the mined U in the reactor. Multiplying the resulting 27,300<br />

235<br />

t<strong>on</strong>s of usable U by the 17 milli<strong>on</strong> kcal/g we derived earlier yields<br />

a total of 2 × 10 21 J. Table 15.10 puts this in c<strong>on</strong>text against fossil fuel<br />

proven reserves from page 127. We see from this that proven uranium<br />

reserves give us <strong>on</strong>ly 20% as much energy as our proven oil reserves,<br />

<str<strong>on</strong>g>and</str<strong>on</strong>g> about 5% of our total remaining fossil fuel supply. If we tried to get<br />

all 18 TW from this uranium supply, it would last less than 4 years! This<br />

does not sound like a salvati<strong>on</strong>.<br />

Table 15.10: Proven reserves, in energy<br />

terms.<br />

Fuel<br />

10 21 J<br />

Coal 20<br />

Oil 10<br />

Gas 8<br />

235U<br />

2<br />

Proven uranium reserves would last 90 years at the current rate of use,<br />

so really it is in a category fairly similar to that of fossil fuels in terms<br />

of finite supply. To be fair, proven reserves are always a c<strong>on</strong>servative<br />

lower limit <strong>on</strong> estimated total resource availability. And since fuel cost<br />

is not the limiting factor for nuclear plants, higher uranium prices can<br />

make more available, from more difficult deposits. Still, even a factor of<br />

two more does not transform the story into <strong>on</strong>e of an ample, worry-free<br />

resource.<br />

15.4.4.2 Breeder Reactors<br />

238<br />

But what if we could use the bulk uranium, U, in reactors <str<strong>on</strong>g>and</str<strong>on</strong>g> not<br />

<strong>on</strong>ly save ourselves the hassle of enrichment, but also gain access to<br />

140 times more material, in effect? Doing so would turn the proven<br />

reserves of uranium into about 7 times more energy supply than all of<br />

our remaining fossil fuels. Well, it turns out that despite its not being<br />

235<br />

In its native form, U is too dilute in natural uranium—overwhelmingly<br />

238<br />

dominated by U—to even work in a nuclear reactor. It must be enriched<br />

to 3–5% c<strong>on</strong>centrati<strong>on</strong> to become viable. 40 40: Uranium bombs need at least 20% 235<br />

Enrichment is difficult to<br />

U<br />

235 238<br />

achieve. Chemically, U <str<strong>on</strong>g>and</str<strong>on</strong>g> U behave identically. The masses are c<strong>on</strong>centrati<strong>on</strong>, but typically aim for 85% to<br />

be c<strong>on</strong>sidered weap<strong>on</strong>s grade.<br />

so close—just 1% different—that mechanical processes have a difficult<br />

time differentiating. Centrifuges are comm<strong>on</strong>ly used to allow heavier<br />

238 U to sink faster41 235<br />

than U. But it’s inefficient <str<strong>on</strong>g>and</str<strong>on</strong>g> usually requires 41: ...ingaseous form<br />

many iterati<strong>on</strong>s to work up higher c<strong>on</strong>centrati<strong>on</strong>s. The process is also<br />

235<br />

lossy, in that not all of the U finds its way to the enriched pile. 42 42: Depleted uranium is defined as c<strong>on</strong>taining<br />

0.3% or less in the form of 235 U, which<br />

is not a huge reducti<strong>on</strong> from the 0.72% starting<br />

point.<br />

© 2021 T. W. Murphy, Jr.; Creative Comm<strong>on</strong>s Attributi<strong>on</strong>-N<strong>on</strong>Commercial 4.0 Internati<strong>on</strong>al Lic.;<br />

Freely available at: https://escholarship.org/uc/energy_ambiti<strong>on</strong>s.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!