For the reaction , the relation holds true at a specific temperature. What is this temperature in Ke — Chemical Equilibrium Chemistry Question
Question
For the reaction $PCl_3(g) + Cl_2(g) \rightleftharpoons PCl_5(g)$, the relation $2K_p = K_c$ holds true at a specific temperature. What is this temperature in Kelvin? (Given $R = 0.0821\text{ L atm K}^{-1}\text{mol}^{-1}$)
Answer: C
💡 Solution & Explanation
For this reaction, $\Delta n_g = 1 - (1+1) = -1$. Thus, $K_p = K_c(RT)^{-1}$, which rearranges to $K_c/K_p = RT$. We are given $2K_p = K_c$, meaning $K_c/K_p = 2$. Therefore, $RT = 2 \Rightarrow T = \frac{2}{0.0821} \approx 24.36\text{ K}$.
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