(A) During freezing of water at 273 K and 1 atm, the entropy change of system is negative,
ΔSsys<0 and the free energy change is zero
ΔG=0.
(B) During expansion of 1 mol of an ideal gas into a vacuum under isolated conditions, no heat is exchanged, q=0 and no work is exchanged w=0. There is no change in the internal energy ΔU=0
(C) During mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container, no heat is exchanged, q=0 and no work is exchanged w=0. There is no change in the internal energy ΔU=0
(D) During reversible heating of H2 (g) at 1 atm from 300 K to 600 K, followed by reversible cooling to 300 K at 1 atm, no heat is exchanged, q=0 and no work is exchanged w=0. There is no change in the internal energy ΔU=0. The free energy change is zero ΔG=0.