WATER
ANALYSIS—HYPOTHETICAL COMBINATIONS
Suppose
for a minute we analyze the total mineral content of a typical water.
This one has, as we shall see, nine grains of minerals per gallon. It
could well be the water which Chicago, Detroit, Cleveland or any of a
number of other cities draw from the Great Lakes.
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CATIONS
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ANIONS
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Ca 5.0 gpg*
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HC03- 7.0 gpg*
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Mg 2.5 gpg*
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SO4-- 1.0 gpg*
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Na See note
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Cl- 1.0 gpg*
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*as
CaC03
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Diagrammed, these minerals
would appear as shown on the chart below:
Diagram of Mineral Concentration of Water with 9 Grains
Total Minerals

NOTE: Analysis for sodium
is not usually made directly in a water analysis. Its concentration is
estimated by the difference between the total of the anions and the total
hardness.
EXPLANATION
The bar at the left
in the graph represents the cations of positive ions of the various minerals
in solution.
The bar at right represents
the anions or negative ions.
Remember that in all compounds
the sum of the positive Charges equals the sum of the negative charges.
As a water analysts report simply gives the total of various compounds, the same holds true.
Our sample shows positive
ions as follows: 5.0 gpg calcium, 2.5 gpg magnesium, 1.5 gpg sodium for
a total of 9.0 gpg. The compensating negative ions are: 7.0 gpg bicarbonate,
1.0 gpg sulfate and 1.0 gpg chloride.
A chemist making an
analysis of this 9 grain water could report its dissolved minerals in
the following manner:
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HYPOTHETICAL
COMBINATIONS
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Calcium bicarbonate
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Ca(HCO3)
2
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5.0 gpg as CaCO3,
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Magnesium bicarbonate
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Mg(HCO3)
2
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2.0 gpg as CaC03
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Magnesium sulfate
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MgSO4
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0.5 gpg as CaCO3,
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Sodium sulfate
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Na2S04
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0.5 gpg as CaC03
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Sodium chloride
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NaCI
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1.0 gpg as CaC03
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Total minerals
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9.0 gpg as CaC03
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These
hypothetical combinations shown above are one of the ways of describing
dissolved minerals in water.
Of
course, all of the compounds listed would separate into ions when dissolved
in water. Thus the various ions, not the complete compounds, would actually be present. However, if a chemist
wanted to prepare a water sample having the same chemical characteristics
as the sample which was analyzed, he could simply weigh out the amounts
of the compounds listed, and dissolve them in water.
When hypothetical combinations
are calculated, the ions are combined in their order of increasing solubility.
As calcium compounds are generally less soluble than other compounds,
calcium is usually first on the list of cations. Magnesium is second and
sodium or potassium is last.
Similarly, the anions
are used in the following order: hydroxides, carbonates, bicarbonates,
sulfates, chlorides, and nitrates.
Note that all the various
hardness mineral compounds listed above are expressed in grains per gallon
as calcium carbonate (CaC03).
In order to make the
calculations as shown, the concentrations of the ions must be expressed
in such a way that they can be added and subtracted directly. This is
similar to the conversion of 1/3 and 1/4 to 4/12 and 3/12 when these fractions
are to be used in the same addition or subtraction problem.
Calcium
carbonate has a molecular weight very close to 100, (actually 100.089)
and an equivalent weight of 50 (50.045). It is possible that this is the
reason for its selection as the basic compound, for it certainly simplifies
the calculations.
If
it is stated that a water has invisible hardness minerals in the amount
of 10 grains per gallon as CaCO3, this hardness may be due
to calcium or magnesium carbonates, bicarbonates, sulfates or chlorides
or any combination of these compounds. But in every case the combined
concentration is chemically equivalent to 10 grains per gallon of calcium
carbonate, and the various calculations involved can be made with ease.
The
hardness as CaC03 of the mineral compounds in water can be
determined if the chemical analysis of the water is known. The concentrations
of each of the hardness-forming impurities are divided by the equivalent
weight of the compound and multiplied by the equivalent weight of CaC03.
Here are a few of these equivalent weights:
Hardness
Producing Compound Equivalent Weight
Magnesium
sulfate MgS04 60.187
Calcium bicarbonate
Ca(HC03) 2 81.057
Calcium chloride
CaCl2 55.493
To
determine the equivalent weight of any mineral compound in terms of calcium
carbonate:
concentration equivalent weight of CaCO3,
X
of the mineral equivalent weight of mineral
equals the concentration
of that mineral as CaC03
For
example:
10.0
gpg MgSO4 X equivalent wt CaCO3, /
equivalent wt MgSO4, concentration of MgSO4, as CaCO3,
10.0 X 50.045 /
60.187 = 8.3 gpg as CaCO3
Traces of elements or
compounds are not normally considered in these calculations. Iron, for
example, would not be included, unless present in extremely high concentrations.
In
the example shown above, the calcium and bicarbonates are combined first.
The excess bicarbonates are then combined with the magnesium. The analysis
still does not balance, and the remaining magnesium is combined with part
of the sulfates present. The remaining sulfates and all of the chlorides
are expressed as sodium compounds. (Adding 5.0 gpg Ca ++ as CaCO3,
to 5.0 gpg HC03- as CaCO3, produces 5.0
gpg Ca(HC03)2 as CaC03, not 10 gpg.)
Table of
Equivalent Weights
CATIONS
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Aluminum
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8.994
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Ammonium
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18.0386
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Calcium
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20.040
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Hydrogen
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1.00797
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Iron
(ferrous)
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27.924
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Iron
(ferric)
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18.614
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Magnesium
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12.156
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Potassium
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39.102
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Sodium
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22.9898
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ANIONS
Hydroxide 17.007
Carbonate 30.005
Bicarbonate 61.017
Sulfate 48.031
Chloride 35.453
Nitrate 62.005
Phosphate 31.657
Fluoride 18.998
Sulfide 16.032
COMPOUNDS
Aluminum
sulfate 57.025
Calcium carbonate 50.045
Calcium bicarbonate 81.057
Calcium sulfate 68.071
Calcium chloride 55.493
Calcium hydroxide 37.047
Magnesium
carbonate 42.161
Magnesium
bicarbonate 73.173
Magnesium
chloride 47.609
Magnesium
sulfate 60.187
Sodium bicarbonate 84.007
Sodium carbonate 52.995
Sodium sulfate 71.021
(-->
Next article)
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