The Modified First Law of Thermodynamics

The statement "the mass and energy both are conserved in an isolated system" is an application of the Modified First Law of Thermodynamics. This law is a modification of the First Law of Thermodynamics, which states that energy cannot be created or destroyed, only transferred or converted from one form to another. The Modified First Law takes into account the conservation of mass as well.

Conservation of Mass and Energy

The conservation of mass and energy is a fundamental principle in physics. It states that the total mass and energy in an isolated system remain constant over time, even if they change form or location within the system.

In other words, if we take a closed system with no exchange of matter or energy with the surroundings, then the total mass and energy within that system will remain constant. This means that the amount of matter and energy in the system at the beginning of the process will be the same as the amount of matter and energy at the end of the process.

Implications

The conservation of mass and energy has important implications in many areas of science and engineering. It is used to explain the behavior of everything from subatomic particles to entire galaxies. It is also fundamental to the study of thermodynamics, which deals with the transfer and conversion of energy in systems.

In practical terms, the conservation of mass and energy means that we can never create or destroy matter or energy, only transform it from one form to another. This has implications for everything from energy production to waste disposal to the design of new materials and technologies.

Conclusion

In conclusion, the statement "the mass and energy both are conserved in an isolated system" is an application of the Modified First Law of Thermodynamics, which takes into account the conservation of mass as well as energy. The conservation of mass and energy is a fundamental principle in physics, with important implications in many areas of science and engineering.