For the general gaseous reaction , the equilibrium constants and are determined at a specific temper — Chemical Equilibrium Chemistry Question
Question
For the general gaseous reaction $A_2(g) + 3B_2(g) \rightleftharpoons 2AB_3(g)$, the equilibrium constants $K_c$ and $K_p$ are determined at a specific temperature $T$. If the numerical ratio $K_c / K_p$ is exactly $100$, what is the integer value of $RT$ for this system?
Answer: 10
💡 Solution & Explanation
For the given reaction, $\Delta n_g = 2 - (1 + 3) = -2$. The relationship is $K_p = K_c(RT)^{\Delta n_g} = K_c(RT)^{-2}$. Rearranging this gives $K_c / K_p = (RT)^2$. Since $K_c / K_p = 100$, we have $(RT)^2 = 100$, which yields $RT = 10$.
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