For an isolated system, delta U = 0; what will be delta S?

If there is no net change in the state inside the isolated system that is ΔU = 0 then ΔS = 0.  Then, this is the thermodynamic criterion for equilibrium.

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Delta U = 0, so change in heat, q = 0

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Hence Entropy, Delta S = qrev / T = 0

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