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Washing soda (Na(2) CO(3).10H(2),O) is w...

Washing soda `(Na_(2) CO_(3).10H_(2),O)` is widely used in softening of hard water. If 1 L of hard water requires 0.0143 g of washing soda, what is hardness of water in terms of ppm of `CaCO_(3)`,?

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The correct Answer is:
5
MW of washing soda = 286 MW of `CaCO_(3)= 100 "g mol"^(-1)`
`CaSO_(4) + NaCO_(3) rarr CaCO_(3) + Na_(2) SO_(4)`
`0.0143 g " of" Na_(2) CO_(3) . 10 H_(2) O = (0.0143xx 10^(3))/(286//2) =0.1 ` mEq
0.1 mEq of `Na_(2) CO_(3) = (0.1)/(2) ` mmol of `CaCO_(3)` in 1 L
`= (0.05xx 10^(-3) ) xx 100 ` g in `10^(3) ` mL = 0.005 g in `10^(3) ` m L = 5 ppm of `CaCO_(3)`
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