An equilibrium mixture at a specific temperature is found to...

An equilibrium mixture at a specific temperature is found to consist of $1.2 \times 10^{-3} \mathrm{mol} / \mathrm{LHCl}$ , $3.8 \times 10^{-4} \mathrm{mol} / \mathrm{L} \mathrm{O}_{2}, 5.8 \times 10^{-2} \mathrm{mol} / \mathrm{L} \mathrm{H}_{2} \mathrm{O},$ and $5.8 \times 10^{-2} \mathrm{mol} / \mathrm{L} \mathrm{Cl}_{2}$ according to the following: $\quad 4 \mathrm{HCl}(g)+\mathrm{O}_{2}(g) \rightleftarrows 2 \mathrm{H}_{2} \mathrm{O}(g)+2 \mathrm{Cl}_{2}(g)$ Determine the value of the equilibrium constant for this system.

An equilibrium mixture at a specific temperature is found to consist of $1.2 \times 10^{-3} \mathrm{mol} / \mathrm{LHCl}$ , $3.8 \times 10^{-4} \mathrm{mol} / \mathrm{L} \mathrm{O}_{2}, 5.8 \times 10^{-2} \mathrm{mol} / \mathrm{L} \mathrm{H}_{2} \mathrm{O},$ and $5.8 \times 10^{-2} \mathrm{mol} / \mathrm{L} \mathrm{Cl}_{2}$ according to the following:
$\quad 4 \mathrm{HCl}(g)+\mathrm{O}_{2}(g) \rightleftarrows 2 \mathrm{H}_{2} \mathrm{O}(g)+2 \mathrm{Cl}_{2}(g)$
Determine the value of the equilibrium constant for this system.

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Key Concepts

Chemical Equilibrium

Chemical equilibrium is the state in which the rates of the forward and reverse reactions are equal, resulting in constant concentrations of all species involved in the reaction over time. It is a dynamic balance where molecules continue to react, but no net change in concentration occurs.

Equilibrium Constant Expression

The equilibrium constant expression relates the concentrations of reactants and products at equilibrium using the stoichiometric coefficients from the balanced chemical equation. For a general reaction aA + bB ? cC + dD, the equilibrium constant (K) is defined as K = ([C]^c [D]^d) / ([A]^a [B]^b), where the square brackets denote molar concentrations.

Stoichiometry

Stoichiometry is crucial in determining the equilibrium constant expression as it provides the necessary ratios (exponents) for the concentrations of reactants and products. These stoichiometric coefficients indicate how many moles of each species are involved in the reaction, affecting the magnitude of the equilibrium constant.

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