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Ch.16 - Acids and Bases
Chapter 16, Problem 9

Determine the concentrations of OH-, pH, and pOH of a solution that is 0.125 M in CO32-.

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1
Identify the relevant equilibrium reactions for carbonate ion (\( \text{CO}_3^{2-} \)) in water: \( \text{CO}_3^{2-} + \text{H}_2\text{O} \rightleftharpoons \text{HCO}_3^{-} + \text{OH}^- \).
Use the equilibrium constant expression for the reaction: \( K_b = \frac{[\text{HCO}_3^-][\text{OH}^-]}{[\text{CO}_3^{2-}]} \).
Assume initial concentration of \( \text{CO}_3^{2-} \) is 0.125 M and set up an ICE table to find changes in concentration at equilibrium.
Solve for \([\text{OH}^-]\) using the equilibrium expression and the known \( K_b \) value for carbonate ion.
Calculate pOH from \([\text{OH}^-]\) using the formula \( \text{pOH} = -\log[\text{OH}^-] \) and then find pH using \( \text{pH} = 14 - \text{pOH} \).