J.R. S. answered 10/19/21
Ph.D. University Professor with 10+ years Tutoring Experience
3NO(g) <--> N2O(g) + NO2(g)
Given that ... 6NO(g) <--> 2N2O(g) + 2NO2(g) ΔG° = −209.1 kJ
Note that 3NO(g) <--> N2O(g) + NO2(g) is ONE HALF of 6NO(g) <--> 2N2O(g) + 2NO2(g)
When you divide an equation by a factor, you must also divide the ∆H by that same factor.
Thus...3NO(g) <--> N2O(g) + NO2(g) ∆H = 1/2 x -209.1 kJ
3NO(g) <--> N2O(g) + NO2(g) ∆H = 104.6 kJ