For which of the following reactions is the relationship mathematically true? — Chemical Equilibrium Chemistry Question

💡 Solution & Explanation

The equation rearranges to $\log_{10}(K_p / K_c) = -\log_{10}(RT) = \log_{10}((RT)^{-1})$, which means $K_p/K_c = (RT)^{-1}$. By comparing this to the standard formula $K_p = K_c(RT)^{\Delta n_g}$, we find that $\Delta n_g$ must be $-1$. Among the choices, $2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$ has $\Delta n_g = 2 - 3 = -1$.