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The law of conservation of mass (sometimes referred to as the principle of mass conservation) is as follows: for any system closed to all transfers of matter and energy (both of which have mass), the mass of the system must remain constant over time, as system mass cannot change quantity if it is not added or removed.
Answer Wiki. There is, properly speaking, no law of conservation of matter, since 'matter' is neither well-defined nor conserved in nuclear reactions. It is more appropriate to refer instead to the law of conservation of mass-energy, which is much more general and better defined. Simply put, the law of conservation of mass energy states that the total energy - including the energy hidden within the rest masses of the particles involved - of a closed system is conserved. Particles are free to lose mass and energy provided something else gains it within that closed system.