When you say that RHS has more moles of gases, are you viewing
the H2O as gaseous states?
Cause if I based it on the equation, the state symbol of H2O was
reflected as liquid. So RHS moles of gas is less than LHS moles of
gases in this case?
Yes, you're right, my error. Based on the reaction occuring under
standard conditions, the gaseous water vapour would condense back
into liquid state. So under standard conditions, there is indeed an
overall negative entropy change.
Use your "Approach 1" answer. Tell your student to write this
answer in the exams.
For your "Approach 2" answer, you said :
Whereas if S was deduced to be positive, an increase in
temperature will simply cause delta G to be always negative.
Based on the negative entropy change for the reaction under
standard conditions, there is no reason to deduce entropy change is
positive, and therefore no reason to expect the reaction to be
feasible at higher temperatures. The higher the temperature, the
greater the effect of entropy on feasibility, whether it's a
positive or negative effect.