Apollonius Dark Metal Vessel Vaporizing black sludge (Magi : Labyrinth of Magic)

[Threemagi]

Magi Labyrinth of Magic Anime Season 1 Episode 24

Apollonius feat of using his Extreme Magic (based on light element) to kill Yamraiha but instead the laser beam got reflected by Yam's giant mirror and seemingly vaporized black sludge enveloping Sindria.

Spoiler: Mid end

[*] Sindria size (using pixel scaling)

Sindria = 270 dp
Paddy field = 10 dp = 70 m (Average width/length of paddy field)

270 × 70 m = 18900 m (Diameter of Sindria... roughly anyway)

Edit : Yeah. That is totally NOT a solid torus. I gotta get my eyes checked.

Anyway, I wanna redo the calc now. Sorry.

There are two parts of black mass :
1. One clinging to barrier surrounding Sindria. I will be using hollow sphere calc.
2. One that is still in the ocean.

So, There's new pixel scaling here. To find out the water area covered by black sludge.
202 dp = 18.9 km (Sindria island)
60 dp = 5.5 km (the surplus part of black sludge covering the water near island)
= 18.9 + (5.5 × 2) = 29.9 km (Total diameter)

Area 1
R = 29.9/2 = 14.95
= 3.14 × 14.95^2 = 701 km2

Area 2
R = 18.9/2 = 9.45
= 3.14 × 9.45^2 = 280 km2

Subtract :
701 - 280 = 421 km2 = 421000000 m2

[×] To Find Energy (Joules) Of Vaporizing Black Sludge Covering The Water
421000000 × 1 = 421000000 m

Weight
421000000 m × 1000 kg/m3 (density of water) = 421000000000 kg

Energy
421000000000 × 2442928 J/kg (Latent heat vaporization) = 1.0284727e+18 J = 160 Megatons

[×] To Find Energy (Joules) Of Vaporizing Black Sludge Clinging The Barrier

Let's assume black sludge is 1 m thick.

So we calc 'sphere volume+1' then substract it with the normal 'sphere volume'.

Volume of Sphere :
r = 9.45 km inputting to sphere volume calculator...

'Sphere volume+1' = 3054646050000 m3
Normal sphere volume = 3053628060000 m3

Subtract
3054646050000 - 3053628060000 = 1017990000 m^3

Now we got the volume of the 'Hollow Sphere'. But black sludge doesnt cover full fledged sphere. It just covered half sphere and that's not even all the way to the top.

Idk how to get precise number for this so lets just divide the volume we got by four :
1017990000 / 4 = 254497500 m3 . This is the (rough estimation) of volume of black sludge clinging to Sindria barrier.

Now to find out the energy
254497500 × 1000 kg/m3 (density of water) = 254497500000 kg × 2442928 (latent heat vaporization of water) = 6.2171907e+17 J = 100 Megatons

[*] Combine Two Parts / Final Result
6.2171907e+17 J + 1.0284727e+18 J = 1.65019177 × 10^18 Joules

Afterword :
This calc doesn't actually matter. It doesn't upgrade anyone.

I thought it can upgrade but turns out its not, haha.