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Calculate the quantity of the pure lime and soda required for softening of 1,00,000 litres of water containing the following impurities in ppm. - Applied Chemistry 1

Answer in Brief

Calculate the quantity of the pure lime and soda required for softening of 1,00,000 litres of water containing the following impurities in ppm. The purity of lime is 70% and soda is BS% Ca(HCO3) = 30.2 , Mg(HCO3) = 20.8 ,CaCI2 = 28.1 ,MgCl2 = 8.78, CaSO= 35, MgSO4 = 6.7 .

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Solution

 

impurities( mg/lit) Multification fector CaC03 equivalent Mg/lif Requirement
Ca(Hco3)=30.2 `100/162` `30.2 xx 100/162 = 18.64` L
Mg(Hco3) =20.8 `100/146` `20.8 xx 100/146 = 14.24`  2L
CaCl2 = 28.1  `100/111` `28.1 xx 100/111=25.32` S
CaS04=35 `100/136` `35 xx 100/136 = 25.74` S
MgS04 = 6.7  `100/120` `6.7xx 100/120=5.58` L+S
MgCl2 = 8.7 `100/95` `8.7 xx 100/95 = 9.16` L+S

`"Lime" =74/100 [CaCO_3  "equivalent of"  Ca (HCO_3)+ 2 xx Mg (HCO_3) + MgCI_2 xx MgSO_4 ]xx ("Volume of water")/(1000) xx 100/(%"Purity").`

`=74/100 [18.64 + 2 xx 14.25 + 9.16 + 5.58] xx (100000)/1000 xx 100/70.`

= 6541.6 gms

`"Soda" = 106/100 [CaCO_3  "equivalent of " MgCI_2 + MgSO_4 + CaSO_4 ] xx "Volum of water "/1000 xx 100/(%"Purity")`

`= 106/100 [25.31 + 9.16 +25.73 + 5.58 ] xx (100000)/1000 xx 100/85`.

= 8203 .15gms.

The lime requirement is 6541.6 gms and soda requirement is 8203. 15 gms.

Concept: Softening of water by Hot and Cold lime Soda method and numerical problems
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