Starting with 0.3500 mol CO(g) and 0.05500 mol COCl2(g) in a...

Starting with $0.3500 \mathrm{mol} \mathrm{CO}(\mathrm{g})$ and $0.05500 \mathrm{mol}$ $\mathrm{COCl}_{2}(\mathrm{g})$ in a $3.050 \mathrm{L}$ flask at $668 \mathrm{K},$ how many moles of $\mathrm{Cl}_{2}(\mathrm{g})$ will be present at equilibrium? $$\begin{aligned} \mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{g}) & \\ K_{c}=& 1.2 \times 10^{3} \mathrm{at} 668 \mathrm{K} \end{aligned}$$

Starting with $0.3500 \mathrm{mol} \mathrm{CO}(\mathrm{g})$ and $0.05500 \mathrm{mol}$
$\mathrm{COCl}_{2}(\mathrm{g})$ in a $3.050 \mathrm{L}$ flask at $668 \mathrm{K},$ how many moles of $\mathrm{Cl}_{2}(\mathrm{g})$ will be present at equilibrium?
$$\begin{aligned}
\mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{g}) & \\
K_{c}=& 1.2 \times 10^{3} \mathrm{at} 668 \mathrm{K}
\end{aligned}$$

Key Concepts

ICE Table Method

An ICE table (which stands for Initial, Change, Equilibrium) is a systematic approach used to organize and calculate the concentrations or moles of reactants and products during a chemical reaction as it proceeds towards equilibrium. This method helps in visualizing the changes and setting up the equilibrium expressions needed for calculating unknown quantities.

Chemical Equilibrium

Chemical equilibrium occurs when the rates of the forward and reverse reactions in a closed system become equal, leading to constant concentrations of reactants and products over time. This state is inherently dynamic, meaning that reactions continue to occur, but there is no net change in the overall concentrations.

Equilibrium Constant (Kc)

The equilibrium constant (Kc) is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium, each raised to the power of their respective stoichiometric coefficients. It provides insight into the position of equilibrium and indicates whether a reaction favors the formation of products or reactants.

Reaction Stoichiometry

Reaction stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction. It is used to determine how changes in the amount of one substance affect the amounts of others based on the balanced chemical equation, which is essential when applying the equilibrium constant expression to solve for unknown concentrations or moles.

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