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When 100 ml of a tube-well water is titr...

When 100 ml of a tube-well water is titrated using methyl orange as indicator, it requires 15 ml of 0.01 (N) HCl. Estimate the hardness. Of that sample of water.

Text Solution

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15 mL 0.01 (N) HCl `equiv` 1 mL 0.15(N) HCl
1000 mL 1 (N) HCl `equiv (100)/(2)g " CaCO"_(3)`
`therefore` 1 mL 0.15 (N) HCl = 50 `xx (1)/(1000) xx 0.15 g " of" "CaCO"_(3)`
`" " 7.5 xx 10^(-3)g " of" " CaCO"_(3)`
Therefore, in 100mL or 100g of that sample of water contains some hardness producing substance which is equivalent to `7.5xx 10^(-3)`g of `"CaCO"_(3)`.
`10^(6)`g of water contains the hardness producing substance
equivalent to `(7.5 xx 10^(-3) xx 10^(6))/(100) = 75`g of `"CaCO"_(3)`
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