Calc Promare - Varys freezes Burnish Snake

Calculations


Varys freezes a Burnish Snake and shatters it. The scaling on this will not be easy, but we can find at least a good segment of the frozen structure. Varys is pretty tall, so we'll need to scale his height. Thankfully, one of the artbooks does show the characters next to each other (I remember another, better, official height chart too, but can't seem to find it at the moment). Previously for Lio, I used the average height of an American man, that being 5 feet 9 inches, or 1.7526m (the below chart is from The Battle of Geekboat).
FY3PGaG.jpg
1.7526m/171 = 0.0102491228m
0.0102491228m X 222 = 2.27530526m

Now we have his height, let's use a cleaner shot of him to figure out the size of his head.
BRtyCYE.png
1399 pixels = 2.27530526m
1 pixel = 2.27530526m/1399 = 0.00162637974m
0.00162637974m X 150 = 0.243956961m

Next to scale Varys to his Burning Rescue Gear...
2MSUCCX.png
123 pixels = 0.243956961m
1 pixel = 0.243956961m/123 = 0.00198338993m
0.00198338993m X 575 = 1.14044921m

At last, we can start scaling the size of the ice.
W5e3jhk.png
173 pixels = 1.14044921m
1 pixel = 1.14044921m/173 = 0.00659219197m
0.00659219197m X 509 = 3.35542571m
0.00659219197m X 671 = 4.42336081m
0.00659219197m X 1049 = 6.91520938m
0.00659219197m X 950 = 6.26258237m
0.00659219197m X 1419 = 9.35432041m
0.00659219197m X 181 = 1.19318675m

Volume of each segment as a rectangle.

V = lhw
= 3.35542571 X 4.42336081 X 6.91520938
= 102.637326m^3

V = lhw
= 6.26258237 X 9.35432041 X 1.19318675
= 69.8995073m^3

Now we've done that, time to scale all over again for the next part.
1HPhYwr.png
1.14044921m = 124 pixels
1 pixel = 1.14044921m/124 = 0.00919717105m
0.00919717105m X 177 = 1.62789928m
0.00919717105m X 130 = 1.19563224m
0.00919717105m X 728 = 6.69554052m
0.00919717105m X 604 = 5.55509131m
0.00919717105m X 161 = 1.48074454m
0.00919717105m X 659 = 6.06093572m
0.00919717105m X 643 = 5.91378099m
0.00919717105m X 503 = 4.62617704m
0.00919717105m X 250 = 2.29929276m

Volumes as rectangles once more.

V = lhw
= 1.62789928 X 1.19563224 X 6.69554052
= 13.0319916m^3

V = lhw
= 5.55509131 X 1.48074454 X 6.06093572
= 49.855264m^3

V = lhw
= 5.91378099 X 4.62617704 X 2.29929276
= 62.9045062m^3

There's more, but I can't find a proper frame for scaling for most of it. Let's add all those up for our volume.

V = 102.637326 + 69.8995073 + 13.0319916 + 49.855264 + 62.9045062
= 298.328595m^3

Ice has a density of 919kg/m^3.

M = 298.328595 X 919kg
= 274163.979kg

Given this ice froze a burnish snake, and burnish flames can melt not only ice, but also metal, and freeze flames? They should be at least 100°C (likely much higher). Specific heat of air at this temperature is 1.005 kilojoules.

E = 274163.979 X 1.005 X 100
= 27553479.9 kilojoules
= 27553479900 joules

We'll also add the heat fusion of oxygen of 13800 joules/kg.

E = 274163.979 X 13800
= 3.78346291e9

Finally, to add both of them together for our final result.

E = 27553479900 + 3.78346291e9
= 31336942810 joules
= 7.489709084608 tons of TNT

Final Results
Varys freezes Burnish Snake = >7.49 tons of TNT

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