Hardness can be quantified by
instrumental analysis. The total water hardness is the sum of the
molar concentrations of Ca2+ and Mg2+, in mol/L or mmol/L units. Although water hardness usually measures only the total concentrations of calcium and magnesium (the two most prevalent
divalent metal ions),
iron,
aluminium, and
manganese are also present at elevated levels in some locations. The presence of iron characteristically confers a brownish (
rust-like) colour to the calcification, instead of white (the colour of most of the other compounds). Water hardness is often not expressed as a molar concentration, but rather in various units, such as degrees of general hardness (
dGH), German degrees (°dH), parts per million (ppm, mg/L, or American degrees), grains per gallon (gpg), English degrees (°e, e, or
°Clark), or French degrees (°fH, °f or °HF; lowercase
f is used to prevent confusion with degrees
Fahrenheit). The table below shows conversion factors between the various units. : The various alternative units represent an equivalent mass of calcium oxide (CaO) or calcium carbonate (CaCO3) that, when dissolved in a unit volume of pure water, would result in the same total molar concentration of Mg2+ and Ca2+. The different conversion factors arise from the fact that equivalent masses of calcium oxide and calcium carbonates differ and that different mass and volume units are used. The units are as follows: •
Parts per million (ppm) is usually defined as 1 mg/L CaCO3 (the definition used below). It is equivalent to
mg/L without chemical compound specified, and to
American degree. •
Grain per gallon (gpg) is defined as 1
grain (64.8 mg) of calcium carbonate per
U.S. gallon (3.79 litres), or 17.118 ppm. • 1
mmol/L is equivalent to 100.09 mg/L CaCO3 or 40.08 mg/L Ca2+. • A
degree of General Hardness (dGH or 'German degree' (°dH, )) is defined as 10 mg/L CaO or 17.848 ppm. • A
Clark degree (°Clark) or
English degree (°e or e) is defined as one
grain (64.8 mg) of CaCO3 per
Imperial gallon (4.55 litres) of water, equivalent to 14.254 ppm. • A
French degree (°fH or °f) is defined as 10 mg/L CaCO3, equivalent to 10 ppm.
Hard/soft classification As it is the precise mixture of minerals dissolved in the water, together with water's
pH and temperature, that determine the behaviour of the hardness, a single-number scale does not adequately describe hardness. However, the
United States Geological Survey uses the following classification for hard and soft water: Seawater is considered to be very hard due to various dissolved salts. Typically seawater's hardness is in the area of 6,570 ppm (6.57 grams per litre). In contrast, fresh water has a hardness in the range of 15 to 375 ppm, generally around 60 ppm.
Indices Several indices are used to describe the behaviour of calcium carbonate in water, oil, or gas mixtures.
Langelier saturation index (LSI) The Langelier saturation index (sometimes Langelier stability index) is a calculated number used to predict the calcium carbonate stability of water. It indicates whether the water will precipitate, dissolve, or be in equilibrium with calcium carbonate. In 1936, Wilfred Langelier developed a method for predicting the pH at which water is saturated in calcium carbonate (called pHs). The LSI is expressed as the difference between the actual system pH and the saturation pHs: • For LSI > 0, water is supersaturated and tends to precipitate a scale layer of CaCO3. • For LSI = 0, water is saturated (in equilibrium) with CaCO3. A scale layer of CaCO3 is neither precipitated nor dissolved. • For LSI 3. If the actual pH of the water is below the calculated saturation pHs, the LSI is negative and the water has a very limited scaling potential. If the actual pH exceeds pHs, the LSI is positive, and being supersaturated with CaCO3, the water tends to form scale. At increasing positive index values, the scaling potential increases. In practice, water with an LSI between −0.5 and +0.5 will not display enhanced mineral dissolving or scale-forming properties. Water with an LSI below −0.5 tends to exhibit noticeably increased dissolving abilities while water with an LSI above +0.5 tends to exhibit noticeably increased scale-forming properties. The LSI is temperature-sensitive. The LSI becomes more positive as the water temperature increases. This has particular implications in situations where well water is used. The temperature of the water when it first exits the well is often significantly lower than the temperature inside the building served by the well or at the laboratory where the LSI measurement is made. This increase in temperature can cause scaling, especially in cases such as water heaters. Conversely, systems that reduce water temperature will have less scaling. • Water analysis: • pH = 7.5 •
TDS = 320 mg/L • Calcium = 150 mg/L (or ppm) as CaCO3 • Alkalinity = 34 mg/L (or ppm) as CaCO3 • LSI formula: • LSI = pH − pHs • pHs = (9.3 + A + B) − (C + D) where: • °C = Temperature in degrees centigrade • A = = 0.15 • B = −13.12 × log10(°C + 273) + 34.55 = 2.09 at 25 °C and 1.09 at 82 °C • C = log10[Ca2+ as CaCO3] – 0.4 = 1.78 • (Ca2+ as CaCO3 is also called calcium hardness, and is calculated as 2.5[Ca2+]) • D = log10[alkalinity as CaCO3] = 1.53
Ryznar stability index (RSI) The Ryznar stability index (RSI) It was developed from empirical observations of corrosion rates and film formation in steel mains. This index is defined as: • For 6.5 8 water is undersaturated and, therefore, would tend to dissolve any existing solid CaCO3 • For RSI < 6.5 water tends to be scale form
Puckorius scaling index (PSI) The Puckorius scaling index (PSI) uses slightly different parameters to quantify the relationship between the saturation state of the water and the amount of limescale deposited.
Other indices Other indices include the Larson-Skold Index, the Stiff-Davis Index, and the Oddo-Tomson Index. == Regional information ==