A method of electrochemically producing high-purity lead, comprising: desulfating lead paste using an alkaline process; dissolving the desulfated lead paste in an acidic electroprocessing solvent having an acidic pH to so form an acidic lead ion-enriched electroprocessing solvent, and contacting the lead ion-enriched electroprocessing solvent with a cathode and an anode, wherein the electroprocessing solvent comprises an alkane sulfonic acid; wherein the cathode comprises aluminum, an aluminum alloy, or an aluminum powder embedded in a plastic; reducing lead ions in the lead ion-enriched electroprocessing solvent on the cathode under conditions effective to form adherent high-purity lead and a regenerated electroprocessing solvent, wherein the adherent metallic lead is deposited on the cathode as a loose, slightly adherent porous amorphous mass of metallic lead with entrapped hydrogen; removing the adherent high-purity lead from one portion of the cathode while lead ions are reduced on another portion of the cathode, wherein the cathode moves relative to the lead ion-enriched electroprocessing solvent while the electrical potential is applied; using at least some of the regenerated electroprocessing solvent in the step of dissolving the desulfated lead paste as the acidic electroprocessing solvent; wherein the anode is a diffusion controlled anode, or a hydrogen depolarized anode, or wherein the anode is exposed to a reducing agent, or is separated from the cathode by a membrane and the anode contacts an electrolyte other than the lead ion-enriched electroprocessing solvent, or wherein the anode is operated such that a lead ion concentration at the anode is less than 50 grams per liter [g/L]. desulfating lead paste using an alkaline process; dissolving the desulfated lead paste in an acidic electroprocessing solvent having an acidic pH to so form an acidic lead ion-enriched electroprocessing solvent, and contacting the lead ion-enriched electroprocessing solvent with a cathode and an anode, wherein the electroprocessing solvent comprises an alkane sulfonic acid; wherein the cathode comprises aluminum, an aluminum alloy, or an aluminum powder embedded in a plastic; reducing lead ions in the lead ion-enriched electroprocessing solvent on the cathode under conditions effective to form adherent high-purity lead and a regenerated electroprocessing solvent, wherein the adherent metallic lead is deposited on the cathode as a loose, slightly adherent porous amorphous mass of metallic lead with entrapped hydrogen; removing the adherent high-purity lead from one portion of the cathode while lead ions are reduced on another portion of the cathode, wherein the cathode moves relative to the lead ion-enriched electroprocessing solvent while the electrical potential is applied; using at least some of the regenerated electroprocessing solvent in the step of dissolving the desulfated lead paste as the acidic electroprocessing solvent; wherein the anode is a diffusion controlled anode, or a hydrogen depolarized anode, or wherein the anode is exposed to a reducing agent, or is separated from the cathode by a membrane and the anode contacts an electrolyte other than the lead ion-enriched electroprocessing solvent, or wherein the anode is operated such that a lead ion concentration at the anode is less than 50 grams per liter [g/L].