Solid elements at room temperature do not react with aqueous sodium hydroxide to produce oxygen gas. The discussion highlights that while oxidation generally releases energy and can produce oxygen, no solid elements can achieve this reaction in the presence of sodium hydroxide. Compounds like potassium perchlorate can produce oxygen when reacting with water, but they are not solid elements. The only strong oxidant that can produce oxygen from water is fluorine, which is gaseous at standard temperature and pressure (STP). Iodine, the strongest solid oxidizing element, does not release free oxygen in alkaline solutions. Overall, the consensus is that no solid elements can produce oxygen gas when mixed with sodium hydroxide.