Define hardness and its different unit of expressing hardness of water.

 


Hardness in water is that characteristic, which prevent lathering of soap.

Originally, It was defined as the soap consuming capacity of water sample. Hard water comsumes lot of soap because of presence of certain salts of Ca, Mg and other heavy metal ions like Al3+ , Fe3+ and Mn2+ in it.

 A sample of hard water, when treated with soap (sodium or potassium salt of higher fatty acid like oleic, palmitic or stearic) does not produce lather, but on the other hand, forms insoluble white scum or precipitate, which do not possess any detergent action. It is due to the formation of insoluble soaps of calcium and magnesium. Typical reaction of soap (sodium stearate ) with calcium chloride and magnesium sulphate are shown below :

2 C17H35COONa + CaCl2 à (C17H35COO)2 Ca↓ +2NaCl

2 C17H35COONa + MgSO4 à (C17H35COO)2 Mg↓ +Na2SO4

IN fact, any cation which produces insoluble soap with soap solution will contribute to hardness.

Units for expressing hardness:

(a)  Parts Per millions (ppm). It is defined as the number of parts by weight of calcium carbonate present per millions (106) parts by weight of water,

i.e., 1 ppm = 1 part of CaCO3equivalents hardness in (106) parts of water.

Milligrams Per litre(mg/L). It is defined as the number of milligrams of CaCO3 present in one litre of water,

i.e. , 1 mg/L = 1mgof CaCO3 equivalents per litre of water. It can be easily proved that, for water

                                                            1mg/L = 1 ppm

Assuming unit density (=mass / volume ) for water,                                   

Therefore 1 L =1kg  = 106  mg

Therefore 1mg of CaCO3 equivalent hardness per liter of water

                                    = 1mg of CaCO3  equivalent hardness per 106 mg of water

                                    =1 part of CaCO3 per 106 mg of water = 1ppm

Hence, 1mg/L =1ppm

Degree Clarke(◦Cl). It is defined as the parts of CaCO3 equivalent hardness per 70000 parts of water.

i.e. ◦Cl =1part of CaCOper70000 parts of water.

Degree French(◦Fr). It is defined as the parts of CaCO3 equivalent hardness per 105 parts of water.

i.e. ◦Fr =1part of CaCO equivalent hardness per 105 parts of water

 

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