Oooops. Thought you were talking about water. I completely failed at reading the previous thread entries. It was late and was in that 'hey I could work that out mode'.
My revised estimate is 44kg of wax.
I got to this by adding the energy of heating the wax from 20deg to 50deg to the energy expended in melting the wax. Which is 305kJ/kg.
13422/305 = 44kg.
You would also run into problems with ensuring you don't end up with all of the wax around the cylinder boiling and the rest being at ambient temperature. With a liquid it is easy to pump around but a solid will experience a temperature gradient.
The reason it isn't 507 times better than water is that the energy required to melt it only happens over a couple of degrees. It is kind of a one time event and is hard to compare to heating water.
Water has a Cp of 4.18 but you get to heat it through 30deg. 30*4.18 which is 125.4kJ/kg. SO the wax is only about 2.5 times as good for the same temperature range at 305kJ/kg.
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