Chapter 17, Problem 90A

Interpretation Introduction

Interpretation: The molar concentration of phosgene at equilibrium and K_eqfor the system needs to be calculated.

Concept Introduction: The K_eq for the reaction depends on the concentrations of the reactants and the products.

Answer to Problem 90A

The molar conc of phosgene is 0.0914 M. K_eqfor the system is equal to 1235.8.

Explanation of Solution

For the given reaction:

  $\begin{array}{l}{\text{CO+Cl}}_{\text{2}}\stackrel{}{\rightleftarrows }{\text{COCl}}_{\text{2}}\\ \text{Initial conc}\text{.of CO=Initial conc}{\text{. of Cl}}_2\\ =\frac{1}{10}=0.\text{1 mol}\end{array}$

Conc. of COCl₂ at equilibrium (same coefficients) = $0.1-0.0086=0.09\text{14 M}$

  $\begin{array}{l}{K}_{eq}=\frac{{\text{[COCl}}_{\text{2}}\text{]}}{{\text{[CO][Cl}}_{\text{2}}\text{]}}\\ K_{eq}=\frac{0.0914}{0.0086\times 0.0086}\\ K_{eq}=1235.8\end{array}$

Conclusion

The concentrations have been calculated using the laws of equilibrium.