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Calculate the Amount of Lime {80 %Purity) and Soda {90% Purity) Required for Softening of 50,000 of Hard Water Whose Chemical Analysis Results Are Given Below. - Applied Chemistry 1

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Question

Calculate the amount of lime {80 %purity) and soda {90% purity) required for softening of 50,000 of hard water whose chemical analysis results are given below. Ca(HCO3 ) = 40.5 mg/L, Mg( HCO3)2 = 73.0 mg/L, MgSO4 = 60.0 mg/L, CaSO4 = 34.0 mg/L, CaCl2 = 27.5 mg/L and NaCI = 20.0 mg/L.

Answer in Brief

Solution

lmpurities(mg/lit) Multiplication factor CaC03 equivalent (mg/lit) Requirement
Ca(HC03)2
=40.5
`100/162` `40.5 xx 100/162 = 25` L
Mg(HC03)2
=73.0
`100/146` `73 xx 100/146 = 50` 2L
CaCl2 = 27.5 `100/111` `27.5 xx 100/111 = 24.8` S
CaS04 = 34 `100/136` `34 xx 100/136 = 25` S
MgS04 = 60 `100/120` `60/100/120 = 50` L+S

NaCl does not react with lime and soda.

LIME = `74/100[CaCO_3 " equivalent of " Ca(HCO_3)_2 +2 xx Mg(HCO_3)_2+MgSO_4]xx ("Volume of water") /1000 xx 100/(%"purity")`

`= 74/100 xx [25 + 2 50 + 50] xx 50000/1000 xx 100 /80`

 = 8093.75 gms.

`"SODA "= 106/100 [25+50+24.8] xx 100000/1000 xx 100/85.`

= 5877.1gms.

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

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Softening of water by Hot and Cold lime Soda method and numerical problems
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2016-2017 (June) CBCGS
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