- #1

- 3

- 0

## Summary:

- I want to calculate how many goats the dragon would have had to eat to make the sack of King's Landing compliant with energy conservation.

I thought I'd calculate how much heat was required to melt the Iron Throne, and then multiply that by the number of flame-gushes during the sack of Kings Landing, to get a total amount of energy expended. Then I'd convert that to calories and use the average number of calories per goat to determine how many goats the dragon would have had to eat to spew that much flame. I'm not sure I have the science right.

Formula: Heat = mass of iron throne * specific heat of iron * melting temperature of iron.

I found the mass of the iron throne using m=v*d.Based on visual assessment of people sitting on the Iron Throne, I let it equal 3 times the volume of small person, notably Geoffrey or Daenerys. That gives it a volume of 1.5 * 10

The specific heat of iron (C) is 460 J/(kg*K) and the melting point of iron is 1770 K

Heat = 1.2 10

The problem I'm having is that this doesn't take into account the size of the flame gush. I wonder if I need to then calculate the temperature of the air needed to raise iron to the melting point, and multiply that by the volume of the flame-gush (about 40 times the volume of Daenerys) to find the energy in a gush of dragon flame.

Formula: Heat = mass of iron throne * specific heat of iron * melting temperature of iron.

I found the mass of the iron throne using m=v*d.Based on visual assessment of people sitting on the Iron Throne, I let it equal 3 times the volume of small person, notably Geoffrey or Daenerys. That gives it a volume of 1.5 * 10

^{5}cm^{3}. Density of iron is 8 g/cm^{3}. So, the Iron Throne has a mass of 1.2*10^{3}kg. That passes the common-sense check, since it is roughly half the mass of a car, which seems about right.The specific heat of iron (C) is 460 J/(kg*K) and the melting point of iron is 1770 K

Heat = 1.2 10

^{3}* 460 * 1770 = 9.8 * 10^{8}Joules. So, I was going to convert that to calories and multiply by goats/calorie to determine diet and whether, as I suspect, energy conservation was violated.The problem I'm having is that this doesn't take into account the size of the flame gush. I wonder if I need to then calculate the temperature of the air needed to raise iron to the melting point, and multiply that by the volume of the flame-gush (about 40 times the volume of Daenerys) to find the energy in a gush of dragon flame.