Units for measuring hardness - includes some chemistry
Hi all,
Irene wrote: "Also i noticed tds is often measures in different units, not just ppm, so you need to know what you are measuring it in too."
I agree it is a bit of a nightmare trying to get all the units sorted out. I'll have a go, and treat TDS and hardness as the same (they aren't exactly, but I'll explain why as I go a long).
TDS is total dissolved solids and hardness is a measure of dissolved multivalent minerals (Ca2+, Mg2+) in the water (multivalent just means there is a number in front of the +, e.g. Ca2+).
There are 2 types of hardness "temporary" where boiling will remove them - carbonates, usually calcium or magnesium, and "permanent" which can't be removed by boiling - sulph(f)ates, chlorides e.g. magnesium sulphate ("Epsom salts").
In the UK hardness is usually a measure of the calcium carbonate (the lime(stone), chalk or scale) content. The equilibrium reaction is:
CaCO3(solid) + H2CO3(aq. in solution) ⇋ Ca2+(aq) + 2HCO3-(aq) (exactly same for Mg2+ as well, so both Ca and Mg are usually added together and expressed just as calcium)
As you heat the water CO2 becomes less soluble (it's not in the equation as CO2, but bicarbonate is - 2 x HCO3-) which moves the equation from right to left (less CO2 means less bicarbonate ions HCO3- to balance the Ca2+ ions), Ca2+ can't remain in solution and are precipitated out as the "scale" (CaCO3) in your kettle, immersion heater etc.
Ion exchange resins (water softener) can remove both types of hardness by exchanging sodium (Na+) or potassium (K+) for the calcium and magnesium (but you would still have high conductivity and TDS).
As a further problem most hardness tests actually test the conductivity (and therefore the TDS - amount of "salts" - as ions, for sodium chloride Na+ Cl-) this can be slightly misleading as monovalent ions (Na+), don't contribute to the hardness, but do contribute to the conductivity (and TDS).
But here goes - a few equivalents first:
Parts per million (ppm) is the same as milligrams per litre (1000 cm3 in a litre, which for water weighs 1000g (a kilogram), 1000 milligrams in 1cm3 which weighs 1 gram).
Parts per billion (ppb) is micrograms per litre (1000 micrograms to the milligram).
mmol/L (millimoles per litre)
One millimole of calcium (either Ca2+ or CaCO3) per litre of water corresponds to a hardness of 100 ppm or 5.61 dGH, since the molar mass of calcium carbonate is 100g/mol (Ca has a RAM of 40, C = 12 and O = 16, CaCO3 = 40 + 12 + 48(16 x 3) = 100)
100g in 1 litre is a molar solution of calcium carbonate (40% Ca), and 0.1g per litre a millimolar solution.
General degrees of hardness is the same as German degrees (dGH).
1 dGH is "One degree German" and defined as 10 milligrams of calcium oxide (CaO) per litre of water. This is equivalent to 17.85 milligrams of calcium carbonate per litre of water, or 17.85 ppm. (look up American, Clark, French degrees etc. on Wikipedia for a conversion).
As an example my tap water (Corsham, Wilts - SN13 9AR) is (go to your water company in the UK and you can get average water figures for your postcode).
Calcium (milligrams per litre) 119 (298 x 40% = 119)
Calcium carbonate (milligrams per litre) 298
Degrees German (ºdH) 16.7 (16.7 x 17.85 = 298)
Degrees French (ºf) 30
Degrees Clark 21
Sodium (milligrams per litre) 22
Conductivity 615 micro S(iemens)
Descriptions of hardness correspond roughly with these ranges of mineral (Ca, Mg) concentrations: (pinched straight from Wikipedia)
* Very soft: 0-70 ppm, 0-4 dGH
* Soft: 70-140 ppm, 4-8 dGH
* Slightly hard: 140-210 ppm, 8-12 dGH
* Moderately hard: 210-320 ppm, 12-18 dGH
* Hard: 320-530 ppm, 18-30 dGH
* Very hard >530 ppm, >30 dGH
Making my water officially "moderately hard". However I've tested my water a couple of times and the conductivity was about 800 microS, (possibly because these official ones are an average, and you don't know the range of the readings), which would take it well into the "hard" category.
cheers Darrel