Systems and methods for producing alkali hydroxides and sulfuric acid or hydrochloric acid

A process comprising:

• reacting a component comprising calcium carbonate, or calcium sulfide, or calcium hydroxide, or calcium oxide, or calcium weak acid, or any combination thereof with a component comprising a carboxylic acid to form a component comprising a calcium carboxylate and a component comprising carbon dioxide, or hydrogen sulfide, or water, or any combination thereof;
• reacting the component comprising the calcium carboxylate with a component comprising an alkali sulfate to form a component comprising an alkali carboxylate and a component comprising calcium sulfate;
• reacting the component comprising calcium sulfate with a component comprising a magnesium sulfite, or bisulfite, or any combination thereof to form a component comprising calcium sulfite and a component comprising magnesium sulfate;
• decomposing at least a portion of the component comprising calcium sulfite to form a component comprising calcium oxide and a component comprising sulfur dioxide;
• and
• decomposing at least a portion of the component comprising magnesium sulfate to form a component comprising magnesium oxide and a component comprising sulfur dioxide, or sulfur trioxide, or oxygen, or sulfuric acid, or any combination thereof.