For the equilibrium , it is given that the numerical relation holds true. At what approximate temper — Chemical Equilibrium Chemistry Question
Question
For the equilibrium $PCl_3(g) + Cl_2(g) \rightleftharpoons PCl_5(g)$, it is given that the numerical relation $2K_P = K_C$ holds true. At what approximate temperature $T$ does this condition exist? (Assume $R \approx 0.0821\text{ L atm K}^{-1}\text{mol}^{-1}$)
Answer: C
💡 Solution & Explanation
The relationship is $K_p = K_c(RT)^{\Delta n_g}$. For the given reaction, $\Delta n_g = 1 - (1 + 1) = -1$. So, $K_p = K_c(RT)^{-1}$, which means $K_c = K_p(RT)$. We are given $K_c = 2K_p$. Equating the two expressions for $K_c$: $K_p(RT) = 2K_p$, which simplifies to $RT = 2$. Thus, $T = \frac{2}{0.0821} \approx 24.36\text{ K}$.
💬Ask on WhatsApp →
Still have doubts about this question?
Send it to our AI chemistry tutor on WhatsApp — gets answered in minutes