Okay, a bunch of feats Eliminator brought up, so lets see what we can do here.
- Burning Hands creates a 15-feet cone of flame. (Level 1 spell)
V = πr^2h = 883.57 ft^3 = 25.0199161 m^3
Fire has a density of .3 kg/m^3
M = VD = 25.0199161 x .3 = 7.50597483 kg
Q1 = mc(ΔΤ)
Specific Heat Capacity of air = 919
ΔΤ = Change in Temperature = Tf* - Ti* = 1200 - 23 = 1177
Q1 = 7.50597483*919(1177) = 8118935.25254 Joules, Wall level
Borrowing this calc, All credit to Numbersguy and DontTalk.
Average human body temperature ≈ 37°C
Average human weight = 62kg
Heat change = 37°C - (-4°C) = 41°C
E1 = 62kg * 3500 J/kg*K *41°C = 8897000 J
On average 65% of the human body weight is water.
So water mass = 0.65*62kg
So 40.3 kg = 40300g water.
Enthalpy of fusion of water = 333.55 J/g
E2 = 40300g * 333.55 J/g = 13442065 J
So total energy = 8897000 + 13442065 = 2.2339065e7 J
Small Building level
- Create/Destroy Water can "destroy" up to 10 gallons of water or a 30 ft³ cube of fog. At each Spell Level, the amount of water destroyed increases by 10 gallons and the size of the cube increases by by 5 feet, so that can be multiplied all the way up to 9. (Level 1 spell)
We'll do the water first. Assuming vaporization for "Destroying" the water.
Density of Water = 1000 kg/m^3
Mass = Density * Volume = 1000 * 0.03785409 = 37.85409 kg
c = Specific Heat Capacity (Specific Heat Capacity of Water is 4186)
ΔΤ = Change in Temperature = Tf* - Ti* = 100 - 23 = 77
L = Latent Heat (vaporization) (In this case it would be 2.264e+6 J/kg)
Q = m*(c*ΔΤ+L)
= 37.85409 * (4186 * 77 + 2.264e+6)
= 97902865.757 Joules, Small Building level
And now the maximum amount.
Mass = Density * Volume = 1000 * 0.378541 = 378.541 kg
= 378.541 * (4186 * 77 + 2.264e+6)
= 979028916.202 Joules, Small Building level
Now for the fog dispersion.
30 ft^3 = 0.849505 m^3
Using the density of clouds, 1.003 kg/m^3
M = VD = 1.003 x 0.849505 = 0.852053515 kg
It travels 0.849505 m in 1 second, so
KE = 1/2M x V^2 = 1/2 (0.852053515) x 0.849505^2 = 0.30744593516 Joules, Below Average level
And now for the maximum
75 ft^3 = 2.12376 m^3
M = VD = 1.003 x 2.12376 = 2.13013128 kg
It travels 2.12376 m in 1 second, so
KE = 1/2M x V^2 = 1/2 (2.13013128) x 2.12376^2 = 4.80382577235 Joules, Below Average level
- Control Water can cause a whirlpool of 5 feet wide at the base, up to 50 feet wide at the top, and 25 feet tall. (Level 4 spell)
Base = 1.524 m
Diameter = 15.24 m
Height = 7.62 m
Volume (Cylinder) = 1.39e+9 cm^3
Density of Water: 0.001 kg/cm^3
M = DV = 1.39e+9 x 0.001 = 1390000 kg
KE = 1/2M x V^2 = 1/2 (1390000) x 8.9^2 = 55050950 Joules, Small Building level
- Fireball can cause a spherical explosion with a 20 foot radius. (Level 3 spell)
Pretty simple, 20 ft = 6.096 m
Using this blog puts that at Small Building level
RECALC:
The 3.5 description of this ability states that it creates no pressure, so i'll treat it as fire instead of an explosion here.
20 ft = 6.096 m
V = 948.91 m^3
Fire has a density of .3 kg/m^3
M = VD = 948.91 x .3 = 284.673 kg
Q1 = mc(ΔΤ)
Specific Heat Capacity of air = 919
ΔΤ = Change in Temperature = Tf* - Ti* = 1200 - 23 = 1177
Q1 = 284.673*919(1177) = 307920251.199 Joules, Small Building level
Welp, guess its consistent
F = L/4*pi*d^2
Using 1000 lux for sunlight
60 ft = 18.288 m
Where F (measured in watts/m^2) = Energy/radiant flux; L = Luminosity (measured in watts); d = distance (measured in meters)
A fixed value of 0.0079 needs to be multiplied by the lux figure in order to obtain the proper w/m^2
1000*0.0079 = 7.9 watts/m^2
7.9 = L/(4*3.14*(18.288*1000)^2)
L = (4*3.14*(18.288*1000)^2)*7.9
L = 33185560467.5 Watts = 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
F = L/4*pi*d^2
Using 1000 lux for sunlight
60 ft = 18.288 m
Where F (measured in watts/m^2) = Energy/radiant flux; L = Luminosity (measured in watts); d = distance (measured in meters)
A fixed value of 0.0079 needs to be multiplied by the lux figure in order to obtain the proper w/m^2
1000*0.0079 = 7.9 watts/m^2
7.9 = L/(4*3.14*(18.288*1000)^2)
L = (4*3.14*(18.288*1000)^2)*7.9
L = 33185560467.5 Watts = 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
- Disintegrate can reduce up to a 10-feet cube worth of any material to ashes. We'll use steel as a baseline.
10 ft^3 = 0.283168 m^3 = 283168 cm^3
283168 x 25700 = 7277417600 Joules, or 1.7 tons of TNT, Building level+
- Fire Storm creates ten 10ft³ cubes worth of a hail of fire. (Level 7 spell)
10 ft^3 = 0.283168 m^3
Fire has a density of .3 kg/m^3
M = VD = 0.283168 x .3 = 0.0849504 kg
Q1 = mc(ΔΤ)
Specific Heat Capacity of air = 919
ΔΤ = Change in Temperature = Tf* - Ti* = 1200 - 23 = 1177
Q1 = 0.0849504*919(1177) = 91887.7045152 Joules, Wall level
Seeing as the spell creates ten of these, multiplying it by 10 yields 918877.045152 Joules, Wall level
- Fog Cloud creates a 20-feet sphere of fog pretty much instantly. At each Spell Level, the radius increases by another 20 feet, so that can be multiplied all the way up to 9.
Using the density of clouds, 1.003 kg/m^3
Volume of a sphere = (4/3)πr^3 = (4/3)π(6.096)^3 = 948.91 m^3
M = VD = 1.003 x 948.91 = 951.75673 kg
It travels 6.096 m in 1 second, so
KE = 1/2M x V^2 = 1/2 (951.75673) x 6.096^2 = 17684.2187115 Joules, Wall level
Now, this spell increases by 20 feet in radius for each level, and this can be done up to 9 times, so we'll do the absolute highest this can be.
Using the density of clouds, 1.003 kg/m^3
Volume of a sphere = (4/3)πr^3 = (4/3)π(60.96)^3 = 948906.63708 m^3
M = VD = 1.003 x 948906.63708 = 951753.356991 kg
It travels 60.96 m in 1 second, so
KE = 1/2M x V^2 = 1/2 (951753.356991) x 60.96^2 = 1768415603.89 Joules, or 2.8 tons of TNT, Large Building level
V = πr^2h = 12566.37 ft^3 = 355.83997151 m^3
Fire has a density of .3 kg/m^3
M = VD = 355.83997151 x .3 = 106.751991453 kg
Q1 = mc(ΔΤ)
Specific Heat Capacity of air = 919
ΔΤ = Change in Temperature = Tf* - Ti* = 1200 - 23 = 1177
Q1 = 106.751991453*919(1177) = 115469679.331 Joules, Small Building level
- Ice Storm creates 20-foot-radius, 40-foot-high cylinder hailstorm. (Level 4 spell)
Radius = 6.096 m
Height = 12.192 m
Using the density of clouds, 1.003 kg/m^3
Volume = 1423.36 m^3
Mass = Volume x Density = 1423.36 x 1.003 = 1427.63008 kg
The storm is formed instantly meaning it moves 6.096 meters in one second.
KE = 1/2m x v^2 = 1/2(1427.63008) x 6.096^2 = 26526.2348855 Joules, Wall level
- Immolation can reduce targets to ash. We'll use a regular human as a baseline and an Iron Colossus, which is composed from 150,000 pounds of iron, as a high-end. (Level 3 spell)
Low end is simple, borrowing from this calc done by FanofRPGs.
The conclusion being 295258711.05 Joules, Small Building level
And now for the high end.
150,000 pounds = 68038.8555 kg = 68038855.5 g
68038855.5 / 7.874 = 8640951.9304 cc
8640951.9304 x 25700 = 222072464611 Joules, or 53 tons of TNT, City Block level
We'll use a longsword as a baseline. Longswords weigh on at most 3.5 lbs or 1.58757 kg
The temperature to make steel white hot is 1400C
Q1 = mc(ΔΤ)
Specific Heat Capacity of steel is = 490
ΔΤ = Change in Temperature = Tf* - Ti* = 1400 - 23 = 1377
Q1 = 1.58757*490(1377) = 1071181.1061 Joules, Wall level
- Maelstorm creates a mass of 5-foot-deep water appears and swirls in a 30-foot radius. (Level 5 spell)
Diameter = 18.288 m
Height = 1.524 m
Volume (Cylinder) = 4e+8 cm^3
Density of Water: 0.001 kg/cm^3
M = DV = 4e+8 x 0.001 = 400000 kg
KE = 1/2M x V^2 = 1/2 (400000) x 8.9^2 = 15842000 Joules, Small Building level
- Storm of Vengeance creates a 360-foot-radius wide violent storm, with several violent lightning bolts, acidic rain, hailstones and winds up to 50 mph. (Level 9 spell)
360 ft = 109.728 m
Using the density of clouds, 1.003 kg/m^3
Storm clouds vary from 12 to 14 kilometers tall, so i'll take the middle ground here and use 13 km
Volume = Area x Height = 37825.51 x 13000 = 491731630 m^3
Mass = Volume x Density = 491731630 x 1.003 = 493206824.89 kg
The storm is formed instantly meaning it moves 109.728 meters in one second.
KE = 1/2m x v^2 = 1/2(493206824.89) x 109.728^2 = 2.9691628e+12 Joules, or 709.6469407265774 tons of TNT, Multi-City Block level
F = L/4*pi*d^2
Using 1000 lux for sunlight
60 ft = 18.288 m
Where F (measured in watts/m^2) = Energy/radiant flux; L = Luminosity (measured in watts); d = distance (measured in meters)
A fixed value of 0.0079 needs to be multiplied by the lux figure in order to obtain the proper w/m^2
1000*0.0079 = 7.9 watts/m^2
7.9 = L/(4*3.14*(18.288*1000)^2)
L = (4*3.14*(18.288*1000)^2)*7.9
L = 33185560467.5 Watts = 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
- Sunburst creates a 60-foot radius circle of pure sunlight. Can be cast up to 150 ft away.. (Level 8 spell)
F = L/4*pi*d^2
Using 1000 lux for sunlight
150 ft = 45.72 m
Where F (measured in watts/m^2) = Energy/radiant flux; L = Luminosity (measured in watts); d = distance (measured in meters)
A fixed value of 0.0079 needs to be multiplied by the lux figure in order to obtain the proper w/m^2
1000*0.0079 = 7.9 watts/m^2
7.9 = L/(4*3.14*(45.72*1000)^2)
L = (4*3.14*(45.72*1000)^2)*7.9
L = 207409752922 Watts = 207409752922 J/s, or 49 tons of TNT, City Block level
- Tidal Wave creates a 30 feet long, up to 10 feet wide, and up to 10 feet tall water wave. (Level 3 spell)
Volume = LWH = 9.144 x 3.048 x 3.048 = 84.950539776 m^3
M = DV = 1000 kg/m^3 x 84.950539776 m^3 = 84950.5398 kg
KE = 1/2M x V^2 = 1/2 (84950.5398) x 9.144^2 = 3551473.52868 Joules Small Building level
- Tsunami creates a 300 feet long, 300 feet high, and 50 feet thick wall of water that moves at least 50 ft/s.. (Level 8 spell)
Volume = LWH = 91.44 x 91.44 x 15.24 = 127425.809664 m^3
M = DV = 1000 kg/m^3 x 127425.809664 m^3 = 127425810 kg
KE = 1/2M x V^2 = 1/2 (127425810) x 15.24^2 = 14797806404.3 Joules, or 3.54 tons of TNT, Large Building level
Let's assume that wind velocity is typical of an F3 tornado, around 300 km/hr, or 83.3333 m/s
10 ft = 3.048 m
30 ft = 9.144 m
Volume = 266.88 m^3
Density of air is 1.225 kg/m^3
M = DV = 1.225 x 266.88 = 326.92800 kg
KE = 1/2M x V^2 = 1/2 (326.92800) x 83.3333^2 = 1135165.75853 Joules, Wall level
Final Tally:
- Burning Hands: 8118935.25254 Joules, Wall level
- Cone of Cold: 2.2339065e7 Joules, Small Building level
- Destroy Water (Water Destruction Minimum): 97902865.757 Joules, Small Building level
- Destroy Water (Water Destruction Maximum): 979028916.202 Joules, Small Building level
- Destroy Water (Fog Destruction Minimum): 0.30744593516 Joules, Below Average level
- Destroy Water (Fog Destruction Maximum): 4.80382577235 Joules, Below Average level
- Control Water: 55050950 Joules, Small Building level
- Fireball (Explosion): Small Building level
- Fireball (Fire): 307920251.199 Joules, Small Building level
- Daylight: 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
- Dawn: 33185560467.5 Watts = 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
- Disintegrate: 7277417600 Joules, or 1.7 tons of TNT, Building level+
- Fire Storm: 918877.045152 Joules, Wall level
- Fog Cloud (Minimum):17684.2187115 Joules, Wall level
- Fog Cloud (Maximum): 1768415603.89 Joules, or 2.8 tons of TNT, Large Building level
- Flame Strike: 115469679.331 Joules, Small Building level
- Ice Storm: 26526.2348855 Joules, Wall level
- Immolation (Low-End): 295258711.05 Joules, Small Building level
- Immolation (High-End): 222072464611 Joules, or 53 tons of TNT, City Block level
- Searing Smite: 1071181.1061 Joules, Wall level
- Maelstorm: 15842000 Joules, Small Building level
- Storm of Vengeance: 2.9691628e+12 Joules, or 709 tons of TNT, Multi-City Block level
- Sunbeam: 33185560467.5 J/s, or 7.9 tons of TNT, Large Building level
- Sunburst: 207409752922 J/s, or 49 tons of TNT, City Block level
- Tidal Wave: 3551473.52868 Joules Small Building level
- Tsunami: 14797806404.3 Joules, or 3.54 tons of TNT, Large Building level
- Whirlwind: 1135165.75853 Joules, Wall level