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In the book, it usually has delta S as the entropy of the system, while it specifies the entropy of the surroundings and total entropy with delta Ssurr and delta Stot respectively. Delta Stot would therefore be delta S + delta Ssurr.
the deltaStot would also be able to tell you whether the reaction would be spontaneous or not while the deltaS would not be able to tell you that. With just delta S you would need to calculate delta G in order to find spontaneity.
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