Which of the following mathematical statements regarding the relationship between and is/are univers — Chemical Equilibrium Chemistry Question
Question
Which of the following mathematical statements regarding the relationship between $K_p$ and $K_c$ is/are universally correct for ideal gases?
Answer: A,B,C
💡 Solution & Explanation
$K_p$ and $K_c$ are related by $K_p = K_c(RT)^{\Delta n_g}$ (A is correct). Taking the log of both sides yields $\log(K_p/K_c) = \Delta n_g \log(RT)$ (B is correct). For the $PCl_5$ dissociation, $\Delta n_g = 1$. Thus, $K_p = K_c(RT)^1$. If $RT > 1$, then $K_p > K_c$ (C is correct). The units of $K_p$ and $K_c$ depend directly on $\Delta n_g$ and are only unitless when $\Delta n_g = 0$ (D is false).
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