Consider the reaction: HC₂H₃O₂(aq) + H₂O(l) ⇌ H₃O⁺(aq) + C₂H₃O₂^-(aq) K_c = 1.8⨉10^-5 at 25°C If a solution initially contains 0.210 M HC₂H₃O₂, what is the equilibrium concentration of H₃O⁺ at 25 °C?

검증된 단계별 안내

Write the expression for the equilibrium constant (Kc) for the reaction: \( K_c = \frac{[H_3O^+][C_2H_3O_2^-]}{[HC_2H_3O_2]} \).

Set up an ICE table (Initial, Change, Equilibrium) to track the concentrations of reactants and products. Initially, [HC_2H_3O_2] = 0.210 M, and [H3O+] and [C2H3O2-] are 0 M.

Let 'x' be the change in concentration of H3O+ and C2H3O2- formed at equilibrium. Therefore, the change in concentration of HC2H3O2 is -x.

At equilibrium, the concentrations will be [HC2H3O2] = 0.210 - x, [H3O+] = x, and [C2H3O2-] = x.

Substitute the equilibrium concentrations into the Kc expression and solve for x, which represents the equilibrium concentration of H3O+.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Equilibrium Constant (Kc)

The equilibrium constant, Kc, quantifies the ratio of the concentrations of products to reactants at equilibrium for a reversible reaction. It is calculated using the formula Kc = [products]/[reactants], where the concentrations are raised to the power of their coefficients in the balanced equation. A small Kc value, like 1.8 x 10^-5, indicates that at equilibrium, the reaction favors the reactants over the products.

Acid-Base Equilibrium

In the context of the given reaction, HC2H3O2 (acetic acid) acts as a weak acid that partially dissociates in water to form H3O+ (hydronium ion) and C2H3O2- (acetate ion). Understanding the concept of weak acids is crucial, as they do not completely ionize in solution, leading to an equilibrium state where both the undissociated acid and its ions coexist.

ICE Table (Initial, Change, Equilibrium)

An ICE table is a tool used to organize the initial concentrations, the changes in concentrations as the reaction proceeds, and the equilibrium concentrations of the species involved in a chemical reaction. By setting up an ICE table for this reaction, one can systematically determine the equilibrium concentrations of H3O+ and other species, facilitating the calculation of the desired equilibrium concentration.

Consider the reaction: HC2H3O2(aq) + H2O(l) ⇌ H3O+(aq) + C2H3O2-(aq) Kc = 1.8⨉10-5 at 25°C If a solution initially contains 0.210 M HC2H3O2, what is the equilibrium concentration of H3O+ at 25 °C?