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A reversible process, in the context of thermodynamics, refers to a theoretical process that - after it has occurred, can simply be reversed by a slight alteration or removing the factor which triggered the process, returning the system and its surroundings to their original states.
In a reversible process, the system passes through a continuous series of equilibrium states, which allows for maximum efficiency in energy transfer. Reversible processes are hypothetical; real-world processes tend to be irreversible due to friction, turbulence, and other dissipative effects.
Reversible processes are idealizations or models of real processes. One familiar and widely used example is Bernoulli's equation, which you saw in Unified. They are extremely useful for defining limits to system or device behavior, for enabling identification of areas in which inefficiencies occur, and in giving targets for design.
Definition. Reversible processes are idealized thermodynamic processes that can be reversed without any change in the system and its surroundings. They are characterized by the system being in equilibrium at all stages, meaning that no energy is dissipated as heat or work is lost to friction.
For reversible processes (the most efficient processes possible), the net change in entropy in the universe (system + surroundings) is zero. Phenomena that introduce irreversibility and inefficiency are: friction, heat transfer across finite temperature differences, free expansion, ...
obvious that a reversible process is a quasistatic process or a fully resisted process. The conditions under which a process can be reversible are so unique, it can be said that reversible processes are ideal processes and hence are only mathematical models.
A reversible process is a process in which the system and environment can be restored to exactly the same initial states that they were in before the process occurred, if we go backward along the path of the process. The necessary condition for a reversible process is therefore the quasi-static requirement.