Physico Chemical Calculations

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For the first dissociation of carbonic according to the equation H2GO.3 = H* + HCO3', the law of mass-action gives [H J [HG0,1 _ „ '(^> [H^COJ -^»' and for the second dissociation according to the equation HCO,' = H- + 00," we obtain similarly [H-] [CO,"] ^ ^ (3) divided by (4) gives (2), thus [00,"] [H,COJ ~ ■"■ " IT,- By multiplying (1) by (2) we obtain , [Ca--][HCO,T _ c, ^ £2 The law of electro-neutrality requires 2[0a--] + [H-] = [HOO3'] + 2[00,"].
Since carbonic acid is a very weak acid,
...[H*] is very small even in presence of free HgCOg, and [CO3"] may be neglected in comparison with [HCO3']. We thus obtain 2[0a--] = [HC0,1.
The concentration of Ca • '-ions, and, therefore, the solu- bility of calcium carbonate' in water containing carbonic acid, may be calculated from equation (5) if the concentration of the free carbonic acid, \B.^(jO^, in the solution is known.
This may be obtained with the help of the factor of propor- tionality K^, which is given. If the partial pressure of the GOj over the solution is ^, then [H2CO3] = K^.


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