J.R. S. answered 04/27/20
Ph.D. University Professor with 10+ years Tutoring Experience
∆S signifies the change in ENTROPY.
(i) Ba2+(aq) + SO42-(aq) → BaSO4(s) ... ∆S is negative because it goes from aqueous to solid
(ii) 2 Na(s) + 2 H2O(l) → 2 NaOH(aq) + H2(g) ... ∆S is positive because it goes from s and l to a gas
(iii) 2 C2H6(g) + 7 O2(g) → 4 CO2(g) + 6 H2O(l) ... ∆S is negative because it goes from 9 moles of gas to 4 moles of gas