Rough Calc, Vaporization for a human

So our value for vaporization of a human is 2.99 gigajoules based off of this

https://blogs.scientificamerican.com/but-not-simpler/excerpts-from-the-mad-scientiste28099s-handbook-so-youe28099re-ready-to-vaporize-a-human/

One thing, it states this

“

And thanks to our spies spread across scientific organizations, we now have the energy required to turn a human into an atomic soup, to break all the atomic bonds in a body. According to the captured study, it takes around three gigajoules of death-ray to entirely vaporize a person

„

That is a problem, that is atomization. So I will do a rough calc on the vaporization of a human being.

Here are some conditions

• I admit I am still new to being a calc group member and still need to learn some more advanced methods such as converting molar heat capacity to joules per kilogram, so I took the short road at points
• Latent Heat can be hard to find, plus most of the numbers come in molar heat. However, the addition latent heat adds usually is not big enough the change the overall result greatly.
• Lastly, this calculation will be rough, and I will ballpark the overall value based on my results

The Calc

Conditions

I have a better solution to calculating the vaporization of a human

https://www.thoughtco.com/chemical-composition-of-the-human-body-603995

Okay, First off. To vaporize a human thoroughly at once, let’s assume the temperature change is 1800°F or 982.2°C http://www.kgbanswers.com/what-temperature-does-skin-and-bone-melt/3952683

Average body temperature is 97.7°C or 37.5°C

https://en.wikipedia.org/wiki/Human_body_temperature

So the temperature change is by 1343.5°C

http://endmemo.com/physics/specificheat.php

https://en.wikipedia.org/wiki/Human_body_weight

The average human is 62 kilograms

STEP I

I will start with water

https://en.wikipedia.org/wiki/Body_water

60% of human mass is water, or 37.2 kilograms.

http://www.engineeringtoolbox.com/water-thermal-properties-d_162.html

The heat capacity of water is 4.178 kilojoules per kilogram

Heat energy is 208,808,919.6 joules

STEP II

https://www.itis.ethz.ch/virtual-population/tissue-properties/database/heat-capacity/

Average amount for body fat is 2.348 kilojoules per kilogram

Fat seems to be 17% of body mass, or 10.54 kilograms going by the numbers shown

Plugging it into the heat energy calculator, I get 33,248,830.52 joules

STEP III

Protein makes up 16% of body mass, which means it makes up 9.92 kilograms of the body

https://www.itis.ethz.ch/virtual-population/tissue-properties/database/heat-capacity/

Muscle has a heat capacity of 3.421 kilojoules per kilogram

That gives me 45,593,445.92 joules plugging it into the calculator

STEP IV

For minerals, it makes up 6% of body mass, or 3.72 kilograms.

I guess I will bone for this, as IDK what else to use (Too lazy to convert molar heat, it is an absolute pain to do so). I will use cortical bone, which is 1.313 kilojoules per kilogram.

I get 6,562,137.66 joules

STEP V

Carbohydrates make up merely 1% of human weight, or 0.62 kilograms

https://www.researchgate.net/post/What_are_the_Heat_capacities_of_carbohydrates_for_liquid_amorphous_glass_and_solid_states

Heat energy of sugar (carbohydrate) is 1.255 kilojoules per kilogram.

I get 1,045,377.35 joules

Conclusion

Adding them together, I get 295,258,711.05 joules

As I noted, I took values that were simplest and closest analogs, plus I did not include the latent heat. But overall, the vaporization of the human body should peak at ~300 megajoules