NO (g) + 1/2 O2 (g) ⇋ NO2 (g)
I know that the equation to solve for this is K=e^(deltaG/RT) and I know that the answer is 1.74*10^6 but I am unsure why this is the answer. Please show all work.
1 Answer

To answer this question you would need to know the delta Go of formation of the reactants and products. I’ll look them up in my textbook.
delta Go f NO2(g) = 51.24 kJ/mole
delta Go f NO(g) = 86.60 kJ/mole
delta Go f O2(g) = 0
delta Go reaction = delta Go f products – delta Go f reactants
= (1 mole NO2)(51.24 kJ/mole) – (1 mole NO)(86.60 kJ/mole) = 35.4 kJ = 35,400 J
K = e^(delta G/RT) = e^((35,400) / (8.31)(298)) = 1.62 x 10^6
This is very close to your answer. Perhaps whomever came up with 1.74 x 10^6 used slightly different value for the delta Go f.