law of conservation of energy vs conservation of energy

law of conservation of energy and conservation of energy both are nouns.

Word	Noun	Adjective	Verb	Adverb
law of conservation of energy	Yes	No	No	No
conservation of energy	Yes	No	No	No

As nouns, law of conservation of energy and conservation of energy are synonyms defined as:

law of conservation of energy and conservation of energy: the fundamental principle of physics that the total energy of an isolated system is constant despite internal changes

Other synonyms of law of conservation of energy include first law of thermodynamics.

law of conservation of energy (noun)	conservation of energy (noun)
the fundamental principle of physics that the total energy of an isolated system is constant despite internal changes	the fundamental principle of physics that the total energy of an isolated system is constant despite internal changes