Question
Consider the following equilibrium at 2773K
$\text{H}_2(\text{g})+\text{Cl}_2(\text{g})\rightleftharpoons2\text{HCl}(\text{g})$
Initially 0.25M H2 and 0.25MCl2 are introduced into a reaction vessel and the system in allowed to attain equilibrium. At equilibrium the concentrations of H2(g) and Cl2(g) became 0.0314M. Calculate Kc and Kp.

Answer

  1. $\begin{matrix}&\text{H}_2(\text{g})&+&\text{Cl}_2(\text{g})\rightleftharpoons&\text{2Hcl}(\text{g})\\\text{Initial Conc. }&0.25&&0.25\text{M}&0\\\text{Final Conc.at equilibrium}&0.0314\text{M}&&0.0314\text{M}&0\end{matrix}$

$2(0.25-0.0314)=0.2186\text{M}\times2$

$=0.219\text{M}\times2=0.438$

$\text{K}_{\text{c}}=\frac{[\text{HCl}]^2}{[\text{H}_2][\text{Cl}_2]}$

$=\frac{(0.438)^2}{0.0314\times0.314}=195$

  1. $\text{K}_{\text{p}}=\text{K}_{\text{c}}(\text{RT})^{\Delta\text{n}}$

$\Delta\text{n}=0$

$\text{K}_{\text{p}}=\text{K}_{\text{c}}=195$

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