Water “softeners” remove metal ions such as Ca2+ and Fe3+

Chapter 4, Problem 19P

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QUESTION: Water “softeners” remove metal ions such as \(\mathrm{Ca}^{2+}\) and \(\mathrm{Fe}^{3+}\) by replacing them with enough \(\mathrm{Na}^{+}\) ions to maintain the same number of positive charges in the solution. If \(1.0 \times 10^{3} \mathrm{~L}\) of “hard” water is \(0.015\mathrm{\ M\ Ca}^{2+}\) and \(0.0010\ M\mathrm{\ Fe}^{3+}\), how many moles of \(\mathrm{Na}^{+}\) are needed to replace these ions?

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QUESTION: Water “softeners” remove metal ions such as \(\mathrm{Ca}^{2+}\) and \(\mathrm{Fe}^{3+}\) by replacing them with enough \(\mathrm{Na}^{+}\) ions to maintain the same number of positive charges in the solution. If \(1.0 \times 10^{3} \mathrm{~L}\) of “hard” water is \(0.015\mathrm{\ M\ Ca}^{2+}\) and \(0.0010\ M\mathrm{\ Fe}^{3+}\), how many moles of \(\mathrm{Na}^{+}\) are needed to replace these ions?

ANSWER:

 

Step 1 of 2

Here we have to find out how many moles of \(\mathrm{Na}^{+}\) are needed to replace  ions such as \(\mathrm{Ca}^{2+}\) and \(\mathrm{Fe}^{3+}\).

Given:

Volume of hard water = \(1.0 \times 10^{3} \mathrm{~L}\)

Molarity of \(\mathrm{Ca}^{2+}\) = 0.015 M

Molarity of \(\mathrm{Fe}^{3+}\) = 0.0010 M

 

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