Isqua Istari

The Wise Wizards

The density of Plutonium

Posted in Other by Ziggy Monday November 6, 2017 at 16:36

I noticed that the density numbers were missing from the Plutonium isotope pages on Wikipedia. If we take the Pu244 density of 19.816 g/cm3 from the wikipedia page as veracious, the other isotope densities are easy to derive. Since the chemical density is essentially identical, due to the proton identity, all that is left is to scale the density linearly with atomic weight. This gives us values of:

Pu isotope Density (g/cm3)
244 19.816
243 19.735
242 19.654
241 19.572
240 19.491
239 19.410
238 19.329

Now that there is a reference, we can add this info to Wikipedia, thereby completing the process of citogenesis.

XKCD by Randall Munroe, used without permission.

In order to perform a check against the veracity of this data, let’s figure out how much the released energy will alter the mass of the isotope. For a gram of Pu238, we get 0.568 W, which, over double the half-life period of 87.7 years, yields 3.1 GJ of energy. From E=mC^2, we find that this will reduce the mass of one gram of plutonium by 0.35 μg, seven orders of magnitude below our threshold of accuracy. So the binding energy of the Pu nucleus can not significantly influence the density, which confirms our calculations as valid.

Since “worth his weight in gold” is a common phrase, I wondered what would happen if one was made of their weight in plutonium. Since plutonium is about 20 times denser than water, that gives us a person 2.71 times smaller than a normal person. Since this would also be far above the critical mass for plutonium, this person would promptly explode.

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