I made the following assumptions.
1) you want to know how much ice we could melt with the energy required to create 100 BTC
2) you would accept an average value since Bitcoin generation is probabilistic
3) we would assume the latest available technology for energy requirements
4) the ice we are melting begins at STP (standard temperature and pressure)

one block = 25 BTC
100 BTC = 4 blocks
average number of hashes to solve a block = difficulty * 2³²
average number of hashes to solve four blocks = 4 * difficulty * 2³²

Antminer S7 requires 1210 W to generate 4.86 Thashes/s OR

1210 J/s
--------
4.86X10¹² h/s

= 2.4897119341563786008230452674897 X 10^-10 Joules per hash

current Bitcoin difficulty is 178678307672

average number of hashes to solve four blocks = 4 * 178678307672 * 2³²

average number of hashes to solve four blocks = 3069669951823463579648

average energy required to create 100 BTC = 3069669951823463579648 hashes X 2.4897119341563786008230452674897 X 10^-10 Joules per hash

average energy required to create 100 BTC = 764259391297.6113027518683127572 Joules

Given Heat of Fusion of H2O => Hf = 334 J /g

q = m Hf

from the average energy required to generate 100 BTC know that q = 764259391297.6113027518683127572

rearranging the HF equation to solve for mass we get

m = q / Hf

m = 764259391297.6113027518683127572 Joules / 334 Joules/gram

m = 2288201770.3521296489576895591533 grams

m = 2288.201770352129 Tonnes

Therefore generation of 100 Bitcoins with sufficient Antminer S7(s) at current difficulty would melt approx. 2288 Tonnes of ice at 0 degrees C.


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