From Lio-Hen, one of the two prequels to Promare.
Vulcan shoots Lio with an ice rocket launcher, but Lio just melts his way out, without even wearing his Burnish Armour either. Once again using the height of 5 feet 9 inches (or 1.7526m) for Lio.
1 pixel = 1.7526m/1347 = 0.00130111359m
0.00130111359m X 201 pixels = 0.261523832m
1 pixel = 0.261523832m/66 = 0.0039624823m
0.0039624823m X 286 = 1.13326994m
0.0039624823m X 1075 = 4.25966847m
4.25966847m/2 = 2.12983424m
Said ice burst is also thick enough to contain Lio's bike from front to back.
1 pixel = 1.13326994m/58 = 0.0195391369m
0.0195391369m X 2126 = 41.540205m
41.540205m/2 = 20.7701025m
0.0195391369m X 1235 = 24.1308341m
24.1308341m/2 = 12.0654171m
Volume as an ellipsoid.
V = 4/3πabc
= 4/3 X π X 12.0654171 X 20.7701025 X 2.12983424
= 2235.70961m^3
Once again using the mass of solid air, as it's too hard and dense to be the 1.003kg's of air in it's gaseous form. Ice has a density of 919kg/m^3.
M = 2235.70961 X 919
= 2054617.13kg
Keep in mind that this isn't just ordinary ice, but ice that can freeze Burnish Flames (somehow).
Given said fires can evaporate a frozen lake and worse, they should be at least 100°C. Specific heat of air at this temperature is 1.005 kilojoules.
E = 2054617.13 X 1.005 X 100
= 206489022 kilojoules
= 206489022000 joules
And of course we'll add the heat fusion of oxygen of 13800 joules/kg.
E = 9311452.37 X 13800
= 128498042706 joules
E = 206489022000 + 128498042706
= 334987064706 joules
= 80.0638299966539 tons of TNT
Lio then melts his way out, evaporating the ice.
1 pixel = 1.13326994m/279 = 0.00406189943m
0.00406189943m X 1431 = 5.81257808m
Volume of the area melted as an equilateral triangular prism.
V = √3/4w^2h
= √3/4 X 5.81257808^2 X 4.25966847
= 62.3180758m^3
M = 62.3180758 X 919
= 57270.3117kg
The heat fusion of ice is 3.33 X 10^5 joules/kg (or 333000 joules/kg), as well as the the heat of vaporization, that being 2.26 X 10^6 joules/kg (or 2260000kg).
E = 57270.3117 X 333000
= 1.90710138e10 joules
E = 57270.3117 X 2260000
= 129430904442 joules
The specific heat of water is 4.18 joules/kg.
E = 57270.3117 X 4.18 X 100
= 23938990.3 joules
E = 1.90710138e10 + 129430904442 + 23938990.3
= 1.48525857e11 joules
= 35.4985317877629 tons of TNT
Final Results
Vulcan freezes Lio = 80.064 tons of TNT
Lio escapes ice = 35.499 tons of TNT
Vulcan shoots Lio with an ice rocket launcher, but Lio just melts his way out, without even wearing his Burnish Armour either. Once again using the height of 5 feet 9 inches (or 1.7526m) for Lio.
1 pixel = 1.7526m/1347 = 0.00130111359m
0.00130111359m X 201 pixels = 0.261523832m
1 pixel = 0.261523832m/66 = 0.0039624823m
0.0039624823m X 286 = 1.13326994m
0.0039624823m X 1075 = 4.25966847m
4.25966847m/2 = 2.12983424m
Said ice burst is also thick enough to contain Lio's bike from front to back.
1 pixel = 1.13326994m/58 = 0.0195391369m
0.0195391369m X 2126 = 41.540205m
41.540205m/2 = 20.7701025m
0.0195391369m X 1235 = 24.1308341m
24.1308341m/2 = 12.0654171m
Volume as an ellipsoid.
V = 4/3πabc
= 4/3 X π X 12.0654171 X 20.7701025 X 2.12983424
= 2235.70961m^3
Once again using the mass of solid air, as it's too hard and dense to be the 1.003kg's of air in it's gaseous form. Ice has a density of 919kg/m^3.
M = 2235.70961 X 919
= 2054617.13kg
Keep in mind that this isn't just ordinary ice, but ice that can freeze Burnish Flames (somehow).
Given said fires can evaporate a frozen lake and worse, they should be at least 100°C. Specific heat of air at this temperature is 1.005 kilojoules.
E = 2054617.13 X 1.005 X 100
= 206489022 kilojoules
= 206489022000 joules
And of course we'll add the heat fusion of oxygen of 13800 joules/kg.
E = 9311452.37 X 13800
= 128498042706 joules
E = 206489022000 + 128498042706
= 334987064706 joules
= 80.0638299966539 tons of TNT
Lio then melts his way out, evaporating the ice.
1 pixel = 1.13326994m/279 = 0.00406189943m
0.00406189943m X 1431 = 5.81257808m
Volume of the area melted as an equilateral triangular prism.
V = √3/4w^2h
= √3/4 X 5.81257808^2 X 4.25966847
= 62.3180758m^3
M = 62.3180758 X 919
= 57270.3117kg
The heat fusion of ice is 3.33 X 10^5 joules/kg (or 333000 joules/kg), as well as the the heat of vaporization, that being 2.26 X 10^6 joules/kg (or 2260000kg).
E = 57270.3117 X 333000
= 1.90710138e10 joules
E = 57270.3117 X 2260000
= 129430904442 joules
The specific heat of water is 4.18 joules/kg.
E = 57270.3117 X 4.18 X 100
= 23938990.3 joules
E = 1.90710138e10 + 129430904442 + 23938990.3
= 1.48525857e11 joules
= 35.4985317877629 tons of TNT
Final Results
Vulcan freezes Lio = 80.064 tons of TNT
Lio escapes ice = 35.499 tons of TNT