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  4. The molecular formula of a commercial resin used for exchanging ions in water softening is C8H7SO3Na (molecular weight = 206). What would be the maximum uptake of Ca2+ ions by the resin when expressed in mole per gram resin

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Q. 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

JEE MainJEE Main 2015Hydrogen

Solution:

$\underset{2 \,{\text{mole}}}{2 C _{8} H _{7}} SO _{3} Na + \underset{1 \,{\text{mole}}}{Ca ^{7+}} \longrightarrow \left( C _{8} H _{7} SO _{3}\right)_{2} Ca$

$2 \times 206\, gm$ take $1$ mole of $Ca ^{2+}$

$\therefore 1\, gm$ takes $\frac{1}{412}$ mole of $Ca ^{2+}$.