1.

The molecular formula of a commercial resin used for exchanging ions in water softening is `C_(8)H_(7)SO_(3)Na(mol. Wt. 206)` . What would be the maximum uptake of `Ca^(2+)` ions by the resin when expressed in mole per gram resin?A. `(1)/(103)`B. `(1)/(206)`C. `(2)/(309)`D. `(1)/(412)`

Answer» Correct Answer - D
We know the molecular weight of `C_(8)H_(7)SO_(3)Na`
`=12 xx 8 + 1xx7 + 32+16 xx 3 + 23 = 206`
we have to find, mole per gram of resin.
`:. 1g` of `C_(8)H_(7)SP_(3)Na` has number of mole
`= ("weight of given resin")/("Molecular, weight of resin") = (1)/(206)mol`
Now, reaction looks like
`2C_(8)H_(7)SO_(3)Na+Ca^(2+) rarr (C_(8)H_(7)SO_(3))_(2)Ca+2Na`
`because` 2 moles of `C_(8)H_(7)SO_(3)Na` will combine with `(1)/(2) mol Ca^(2+)`
`:. (1)/(2)` mole of `C_(8)H_(7)SO_(3)Na` will combine with
`(1)/(2) xx (1)/(206) mol Ca^(2+) = (1)/(412)mol Ca^(2+)`


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