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I'm unsure of what is meant by "chemical energy" in this or any other
context. This phrase, like "heat energy" is a trap. Energy is energy.
If the behaviour of the supercap on rebounding after discharge is taken
to represent this arcane sort of energy, then it must mean equally that
a capacitor with a glass dielectric stores chemical energy, too. ...
Kinescopes are capacitors. They are effectively Leiden jars. ....
The rebound phenomenon with a glass dielectric capacitor is quite
dramatic. You can demonstrate it with a Leiden jar as well. In fact I
do it with a disassemblable Leiden jar. I can charge the jar and remove
the aluminum electrodes. After touching them together, I replace them and
a healthy arc can be drawn off the jar. After a minute or so I can draw
another spark.
The capacitance of an electrolytic is simply the parameter Ludwik
measured in his experiment. No electrolytic, supercap or otherwise,
behaves linearly.