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The questions would have to say isothermal irreversible, so you would use the deltaS=nRln(V2/V1) formula. The delta S obtained is the delta S of the system. For a irreversible system, the graph is a sharp vertical dip, which means the surroundings do not have time to react to this change, so the deltaS surroundings is 0, and deltaS univerise is equal to deltaS system.
Isothermal means a constant temperature, so we can use the formula ΔS = nR ln(V2/V1).Since entropy is a state function, only the initial and final states matter, not the pathway taken to get there. In this case for irreversible free expansion, the expansion is very fast therefore the surroundings don't have time to react to the entropy change of the system and since there is no time to react, delta S of the surroundings is zero and delta S of the universe = delta S of the system.
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