Electrochemistry lye quality

With the following setup: plastic container, water (impure), pencil (anode), tin foil (aluminum, cathode) and solar panels supplying electrical charge (roughly 36v at about 400-800ma), with the intention of producing lye via electrochemistry:


1) Would it be possible to produce the right kind of lye to a level sufficient to produce handsoap with this current setup?


2) How would you test the lye quality to be sure?


If not possible to make the right quality lye, is there a way to modify the setup so it's able to produce suitable quality lye for soapmaking?


