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Delta S is the change in the entropy of the system. Delta S (surroundings) is the change in entropy of the surroundings. Delta S (total) is Delta S plus Delta S (Surroundings). In a reversible reaction, delta S (surr) is equal to negative Delta S. In an irreversible reaction, Delta S(surr)=0.
Delta S is equal to entropy so on a question when asked to calculate entropy you will use a delta s equation. Just normal delta s is the change in entropy, delta s surroundings is the change of entropy in the surroundings, and delta s total is the change of entropy of the surroundings and change of entropy of a system.
Delta S of the system is the entropy of the system, Delta S of the surroundings is the entropy of the surroundings (usually just the opposite/negative of Delta S), and the Delta S (total) is 0 for isothermal reversible reactions and is usually equal to Delta S (sys) for irreversible reactions.
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