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Q. 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?

Some Basic Concepts of Chemistry

Solution:

$ \underset{2 mole}{2 C _{8} H _{7} SO _{3}^{-} Na ^{+}}+ \underset{1 mole}{ Ca ^{2+}} \longrightarrow \underset{(2 \times 206=412 g)}{\left( C _{8} H _{7} SO _{3}\right)_{2} Ca }+2 Na ^{+}$

$412 g$ of resin take up $Ca ^{2+}$ ions $=1 mole$

$\therefore 1 g$ of resin will take up $Ca ^{2+}=\frac{1}{412}$ mole