J.R. S. answered 06/15/20
Ph.D. University Professor with 10+ years Tutoring Experience
N2(g) + 2O2(g) + 16.2 kcal <==> 2N2O(g)
First notice that heat (16.2 kcal) appears as a reactant. That tells you the reaction is ENDOTHERMIC (∆H is positive).
Next, notice that there are more moles of gas on the reactant side (3 moles) vs. the product side (2 moles). This suggests that ∆S is negative.
∆G = ∆H -T∆S
Since ∆H is positive and ∆S is negative, the reaction is non-spontaneous at all temperatures (not temperature dependent) and ∆G is positive.