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Definitions
The Bronsted-Lowry definition of acids and bases states that an acid is anything that donates an H+, or positively charged hydrogen atom, and a base is anything that accepts an H+.
Equilibrium
Weak acids only give up some H+ ions, and weak bases only accept some H+ ions. When the ratio between the products and the reactants is stable, equilibrium has been reached.
Le Chatelier's Principle
Le Chatelier's principle says that if a system in equilibrium experiences a change, like a change in temperature, then the equilibrium of the system must change to compensate.
Heat and Reversible Reactions
In reversible reactions, the products can spontaneously turn back into the reactants, as acids and bases can, and will have heat as either a product or a reactant. If heat is added, then the reaction will reach a new equilibrium favoring products if heat was a reactant, or reactants if heat was a product.
Heat and Acids and Bases
Adding heat changes the equilibrium of an acid or base, altering the pH. Whether it will increase or decrease pH depends upon the individual reaction.