3. Using the following set of reactions, generate a log Ca vs. pH diagram depicting the solubility of calcite and accounting for hydroxide complexation. 2+ CaCO3(s) Ca²+ + OH H2CO3 HCO3 H₂O log Ksp = -8.48 log K₁ = 4.40 ← Ca2+ + CO3²- ← CaOH+ ← → H+ + HCO3 log Kal,co3 ← → H+ ← → H + CO3 + OH 2- log Ka2,co3 -6.35 -10.33 log Kw = -14.0 Assume this conditional system (closed with solid yet to form; constant CT,C03) can be used to predict Ca solubility in a lime-soda ash chemical precipitation water softening plant. i) If the system is operated at pH 9.30 and the effluent alkalinity is 35 mg CaCO3/L, what is the minimum solubility of Ca in equilibrium with calcite? Report your answer as (mg Ca/L). State any assumptions. ii) If the pH remained constant and the effluent alkalinity increased to 70 mg CaCO3/L, would Ca solubility increase or decrease? Defend your answer (but another log Ca - pH diagram is not required).

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter15: Complex Ion And Precipitation Equilibria
Section: Chapter Questions
Problem 63QAP: Marble is almost pure CaCO3. Acid rain has a devastating effect on marble statuary left outdoors....
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3. Using the following set of reactions, generate a log Ca vs. pH diagram depicting the solubility of calcite
and accounting for hydroxide complexation.
2+
CaCO3(s)
Ca²+ + OH
H2CO3
HCO3
H₂O
log Ksp = -8.48
log K₁ = 4.40
← Ca2+
+ CO3²-
←
CaOH+
← → H+
+ HCO3
log Kal,co3
← → H+
← → H
+ CO3
+ OH
2-
log Ka2,co3
-6.35
-10.33
log Kw = -14.0
Assume this conditional system (closed with solid yet to form; constant CT,C03) can be used to predict
Ca solubility in a lime-soda ash chemical precipitation water softening plant.
i) If the system is operated at pH 9.30 and the effluent alkalinity is 35 mg CaCO3/L, what is the
minimum solubility of Ca in equilibrium with calcite? Report your answer as (mg Ca/L). State any
assumptions.
ii) If the pH remained constant and the effluent alkalinity increased to 70 mg CaCO3/L, would Ca
solubility increase or decrease? Defend your answer (but another log Ca - pH diagram is not required).
Transcribed Image Text:3. Using the following set of reactions, generate a log Ca vs. pH diagram depicting the solubility of calcite and accounting for hydroxide complexation. 2+ CaCO3(s) Ca²+ + OH H2CO3 HCO3 H₂O log Ksp = -8.48 log K₁ = 4.40 ← Ca2+ + CO3²- ← CaOH+ ← → H+ + HCO3 log Kal,co3 ← → H+ ← → H + CO3 + OH 2- log Ka2,co3 -6.35 -10.33 log Kw = -14.0 Assume this conditional system (closed with solid yet to form; constant CT,C03) can be used to predict Ca solubility in a lime-soda ash chemical precipitation water softening plant. i) If the system is operated at pH 9.30 and the effluent alkalinity is 35 mg CaCO3/L, what is the minimum solubility of Ca in equilibrium with calcite? Report your answer as (mg Ca/L). State any assumptions. ii) If the pH remained constant and the effluent alkalinity increased to 70 mg CaCO3/L, would Ca solubility increase or decrease? Defend your answer (but another log Ca - pH diagram is not required).
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