Assuming difficulty of 126.23T
The entropy cost in joules is (1.9561×10^9 J)*ln(126.23T*2^32)*2016 blocks
All it takes is surviving 1 difficulty adjustment to begin reaching equilibrium. I assume it will be a few epochs for full balance.
You can’t measure the energy since the transformations haven’t occurred yet and you would also need to know the block contents to calculate the temperature in Kelvin.
