The concentration of the species in a 0.140 M solution of H₂CO₃ is given by:
[H₂CO₃] = 0.140 M, [HCO₃⁻] = 1.45×10^−7 M, [CO₃²⁻] = 1.45×10^−10 M, [H₃O⁺] = 4.5×10^−4 M, [OH⁻] = 2.2×10^−11 M.
Carbonic acid is a diprotic acid, which means that it has two acid dissociation constants. The first step is for the acid to donate a proton to form bicarbonate, and the second step is for the acid to donate another proton to form carbonate. H₂CO₃(aq) + H₂O(l) ⇌ H₃O⁺(aq) + HCO₃⁻(aq) Ka₁ = 4.3×10−7
HCO₃⁻(aq) + H₂O(l) ⇌ H₃O⁺(aq) + CO₃²⁻(aq) Ka₂ = 4.7×10−11
The formula for the concentrations of the species present in the solution is as follows:
[H₂CO₃] = 0.140 M
[HCO₃⁻] = Ka₁
[H₂CO₃]/[H₃O⁺] = 1.45×10^−7 M
[CO₃²⁻] = Ka₂[HCO₃⁻]/[H₃O⁺]
= 1.45×10^−10 M
[H₃O⁺] = Ka₁[H₂CO₃]/[HCO₃⁻]
= 4.5×10^−4 M
[OH⁻] = Kw/[H₃O⁺] = 2.2×10^−11 M, where Kw is the ion product constant for water.
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