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Write the equilibrium constant expression for this reaction:2H+(aq)+CO2−3(aq) → H2CO3(aq)

Question

Write the equilibrium constant expression for this reaction:

2H+(aq)+CO32(aq)H2CO3(aq) 2H^+(aq) + CO_3^{2-}(aq) \rightarrow H_2CO_3(aq)

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Solution

Equilibrium Constant Expression for the Given Reaction

  1. Identify the Reaction
    The chemical reaction is:
    2H+(aq)+CO32(aq)H2CO3(aq) 2 \text{H}^+(aq) + \text{CO}_3^{2-}(aq) \rightarrow \text{H}_2\text{CO}_3(aq)

  2. Write the Expression
    The equilibrium constant expression K K is formulated by taking the concentrations of the products raised to the power of their coefficients and dividing by the concentrations of the reactants raised to the power of their coefficients.

  3. Apply the Formula
    For the reaction, the expression for the equilibrium constant K K can be given as follows:
    K=[H2CO3][H+]2[CO32] K = \frac{[\text{H}_2\text{CO}_3]}{[\text{H}^+]^2[\text{CO}_3^{2-}]}

  4. Summary
    In this expression, [H2CO3] [\text{H}_2\text{CO}_3] represents the molar concentration of carbonic acid at equilibrium, while [H+] [\text{H}^+] and [CO32] [\text{CO}_3^{2-}] are the molar concentrations of hydrogen ions and carbonate ions, respectively, at equilibrium raised to their respective coefficients.

Final Answer

The equilibrium constant expression is: K=[H2CO3][H+]2[CO32] K = \frac{[\text{H}_2\text{CO}_3]}{[\text{H}^+]^2[\text{CO}_3^{2-}]}

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