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Question

The molecular formula of a commercial resin used for exchanging ions in water softening is $$C_8H_7SO_3Na$$ $$($$molecular weight $$206)$$. What would be the maximum uptake of $$Ca^{2+}$$ ions by the resin when expressed in mole per gram resin?


A
1103
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B
1206
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C
1309
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D
1412
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Solution

The correct option is A $$\displaystyle \frac {1}{412}$$
The molecular weight of resin is $$206$$ g/mol.
$$1$$ g of resin corresponds to $$\dfrac {1}{206}$$ moles.
$$1$$ mole of calcium ions will displace $$2$$ moles of sodium ions from resin.
$$1$$ mole of resin contains $$1$$ mole of sodium ions and can uptake upto $$0.5$$ moles of calcium ions.
Hence, $$1$$ g of resin will uptake $$\dfrac {1}{206} \times 0.5 =\dfrac{1}{412}$$ moles of calcium ions.

Chemistry

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