Write the chemical equations corresponding to the following...

Write the chemical equations corresponding to the following equilibrium expressions. (a) $K=\frac{\left[\mathrm{H}_{2} \mathrm{CO}_{3}\right]}{\left[\mathrm{CO}_{2}\right]\left[\mathrm{H}_{2} \mathrm{O}\right]}$ (b) $K=\frac{\left[\mathrm{P}_{4}\right]\left[\mathrm{O}_{2}\right]^{5}}{\left[\mathrm{P}_{4} \mathrm{O}_{10}\right]}$ (c) $K=\frac{\left[\mathrm{F}_{2}\right]^{3}\left[\mathrm{PH}_{3}\right]}{[\mathrm{HF}]^{3}\left[\mathrm{PF}_{3}\right]}$

Write the chemical equations corresponding to the following equilibrium expressions.
(a) $K=\frac{\left[\mathrm{H}_{2} \mathrm{CO}_{3}\right]}{\left[\mathrm{CO}_{2}\right]\left[\mathrm{H}_{2} \mathrm{O}\right]}$
(b) $K=\frac{\left[\mathrm{P}_{4}\right]\left[\mathrm{O}_{2}\right]^{5}}{\left[\mathrm{P}_{4} \mathrm{O}_{10}\right]}$
(c) $K=\frac{\left[\mathrm{F}_{2}\right]^{3}\left[\mathrm{PH}_{3}\right]}{[\mathrm{HF}]^{3}\left[\mathrm{PF}_{3}\right]}$

Key Concepts

Chemical Equilibrium

Chemical equilibrium occurs when a reversible reaction proceeds at the same rate in both the forward and reverse directions, leading to constant concentrations of reactants and products. Understanding equilibrium is crucial because it involves dynamic balance, and the equilibrium state determines how changes in conditions (such as concentration, temperature, or pressure) affect the reaction’s outcome.

Equilibrium Constant Expression

The equilibrium constant (K) is a numerical value that expresses the ratio of the concentrations or partial pressures of products to reactants, each raised to the power of their respective stoichiometric coefficients. This concept is important as it quantitatively describes the position of equilibrium and predicts the extent of a reaction under given conditions.

Law of Mass Action

The Law of Mass Action provides the foundation for writing equilibrium constant expressions. It states that at equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction and that the concentrations of reactants and products can be related by an expression involving their stoichiometric coefficients. This law allows one to deduce the form of the equilibrium expression from a balanced chemical equation.

Reaction Stoichiometry

Reaction stoichiometry involves determining the correct ratios of reactants and products in a chemical equation. This is directly related to the exponents in the equilibrium constant expression and is essential for ensuring that the chemical equation is balanced. It plays a key role in converting an equilibrium expression back into its corresponding balanced chemical equation.

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