Liming Lakes: A Solution for Acidification?

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Discussion Overview

The discussion revolves around the neutralization of acidified lakes through liming, specifically the calculation of the amount of limestone (CaCO3) required to raise the pH of a large lake. Participants explore the implications of their calculations and the feasibility of applying this solution in practice.

Discussion Character

  • Mathematical reasoning
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant calculated that approximately 610 kg of CaCO3 is needed to neutralize a 3.8e9 L lake with a pH of 5.5, questioning the accuracy of this calculation.
  • Another participant suggests that 601 kg is the result of a simplified approach, noting that their method is flawed but highlights the importance of stoichiometry.
  • A third participant mentions using stoichiometry and significant figures, arriving at a result of 608 kg.
  • Concerns are raised about the complexity of the neutralization process, indicating that the dissolution of CaCO3 and the formation of carbonic acid complicate the calculations, requiring consideration of solubility and buffering effects.
  • One participant expresses that the problem may be more complex than introductory chemistry suggests, implying that further analysis is necessary to accurately determine the amount of CaCO3 needed.
  • A later reply acknowledges the previous participant's point about the simplifications made and shares a reference to an old magazine article about liming lakes.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact amount of CaCO3 required, with multiple competing calculations and perspectives on the complexity of the problem remaining unresolved.

Contextual Notes

Participants note potential discrepancies in molar masses and rounding of intermediate results, as well as the need for initial estimates regarding solubility and buffering effects, which are not fully resolved in the discussion.

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TL;DR
Neutralizing acidified lakes
Lakes that have been acidified by acid rain can be neutralized
by liming, the addition of limestone (CaCO3). How much
limestone in kilograms is required to completely neutralize
a 3.8e9 L lake with a pH of 5.5? (question credited to Introductory Chemistry Essentials book)
I calculated it and found that is approximately 610Kg needed of CaCO3 to bring the lake pH to a neutral level.

Is my calculation right 1st :)?

Then if this is right, 610kg of CaCO3 is not that much in a matter of cost or weight to help the bio-life of the lake. I'm wondering if we are applying actually this solution? As far as I know, there is no harm to add CaCO3 to water lakes, water is even drinkable with dissolved CaCO3 ions to some extent.

Cheers
 
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610 or 601kg?

Not that it is a right answer, but at least let's make sure what we deal with. 601 kg is what I get using highly simplified approach (so simplified, it is actually completely wrong - the only thing that is correct is a stoichiometry).
 
Yes I used stochiometry and 2 significant figures as the result on the calculator was 608kg.
 
Perhaps some discrepancy in molar masses used, or you rounded intermediate results.

Trick is, this is incorrect. This is not a simple stoichiometric neutralization. What will happen is that the salt will dissolve and carbonate ions will get protonated, then some will get protonated further into carbonic acid.

To find out how much calcium carbonate needs to be added one should take into account its solubility, water autodissociation and buffering effects of the carbonic acid/hydrogen carbonate ion. Probably further analysis will show of these can be safely ignored - but it is not obvious to tell which ones without doing at least some initial estimates (at pH 7 amount of CO32- is negligible, so Ksp is probably not needed). This is actually quite a nice problem, but IMHO a little bit beyond introductory chemistry.
 
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Likes   Reactions: Astronuc, jim mcnamara and berkeman
I have re-done this problem, and indeed your "most simplified" :smile: is more accurate:
1632295023034.png

I also found this old magazine article about liming lakes:
1632295731954.png
Cheers!
 

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