only data i cant find is how many kw it takes to make a kg of liquid air ??? if any one knows
The specific heat capacity of air is around 1 kJ/kg.K, but I can’t tell you the latent heat of vaporisation off the top of my head and you’d have to account for all the moisture as well.
What I *can* say is that the same principle is used in Air Separation Units, and I did some assessment work for one which was being moved from literally right next door to a coal-fired power station which was being decommissioned to a site in a different part of the country where it could be hooked up to an EHV substation.
Obviously the idea is that the process is reversible like pumped hydro, batteries and so on, and while the efficiency you quote there is worse than either of the other examples, it doesn’t need a handy mountain to build it inside of like pumped hydro. I’m not so sure what the advantage over a battery would be though - I did wonder whether footprint might be the answer, but apparently you can fit a 1 MW supercapacitor in a shipping container so I doubt it’s that...???
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