I am using supercapacitors to count the number of coulombs of electrons flowing out of an experimental galvanic cell over time. I know there exist more accurate methods, but I want to try it this since I already have lots of these supercaps around, and I don't mind their leakiness (I need only a rough lower-limit estimate at this point).
I understand that a 10 farad supercap charged to 1 volt should theoretically hold 10 coulombs of electrons (where each coulomb equals 6.2415 x 1018 electrons).
But here is my question: if this 10 farad supercap is charged to only 0.5 volt, does it hold only 5 coulombs? In other words, does the amount of charge vary in a simple linear way with the voltage? (I would guess yes, but I don't understand electronics as well as I should).
I need to know since most of my experimental cells generate much less than 1 volt, and I want to measure them individually, not in series.
This link leads to the data sheet for the double-layer supercapacitor I use:
http://www.elna-america.com/products/pdf_files/DoubleLayer/DZe.pdf