**The Conservation of Energy in a System**

The total energy of a system is conserved during and after a process, according to the principle of conservation of energy. This principle states that energy cannot be created or destroyed, but it can only be transferred or transformed from one form to another.

**Energy Transfer and Transformation**

During a process, energy can be transferred from one form to another within the system. For example, in a mechanical system, energy can be transferred in the form of work done by or on the system, as well as in the form of heat exchanged with the surroundings. The total energy remains constant, but it may exist in different forms.

**Energy Transfer through Work**

Work is the transfer of energy caused by the application of force through a displacement. If work is done on a system, the energy transferred to the system increases its total energy. Conversely, if work is done by the system, the energy transferred from the system decreases its total energy.

**Energy Transfer through Heat**

Heat is the transfer of energy between objects due to temperature differences. If heat is transferred to a system, the energy transferred to the system increases its total energy. On the other hand, if heat is transferred from the system, the energy transferred from the system decreases its total energy.

**Law of Conservation of Energy**

The law of conservation of energy states that the total energy of an isolated system remains constant over time. This means that the sum of the work done on or by the system and the heat transferred to or from the system is equal to zero. In other words, the energy transfer and transformation within the system balance each other out, resulting in no net change in the total energy of the system.

**Conclusion**

In summary, the total energy of a system is conserved during and after a process. Energy can be transferred and transformed within the system through work done and heat exchanged, but the total energy remains constant. This principle is known as the conservation of energy, and it is a fundamental concept in the study of physics and thermodynamics.

It remains conserved due to law of conservation of energy