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EEJ MAIN Chemistry QUESTION #7146
Question 1
A commercial ion-exchange resin used for water softening has the molecular formula $C_{8}H_{7}SO_{3}Na$ (Molar Mass $= 206$). Determine the maximum uptake of $Ca^{2+}$ ions by this resin in moles per gram of resin.
  • $\frac{1}{103}$
  • $\frac{1}{206}$
  • $\frac{2}{309}$
  • $\frac{1}{412}$✔️
Correct Answer Explanation
The ion exchange reaction is: $2RNa + Ca^{2+} \rightarrow R_{2}Ca + 2Na^{+}$.
  • $2$ moles of resin ($2 \times 206\text{ g}$) react with $1$ mole of $Ca^{2+}$.
  • Total mass of resin = $412\text{ g}$.
  • Uptake per gram = $\frac{1\text{ mole } Ca^{2+}}{412\text{ g resin}}$.
Thus, the maximum uptake is $\frac{1}{412}\text{ mol/g}$.