Energy is conserved in chemical reactions. The amount of energy in the universe at the end of a chemical reaction is the same as before the reaction takes place.
The minimum amount of energy that particles must have in order to react, because reactions can only occur when the reacting particles collide with each other with sufficient energy
In some alkaline batteries, at some point, the reactants in the batteries run out and no more electricity is produced, and there is no way that these reactions can be reversed, so these are non-rechargeable batteries.
They will produce electricity for as long as you provide hydrogen, but rechargeable batteries run out and need to be recharged
They do not get less efficient the longer they run, but rechargeable batteries can store less electricity the more charging cycles they go through and eventually need to be replaced
They can also be a source of drinkable water like on space-craft