Question 6.10: Calculate the number of equivalents per liter (eq/L) of phos...

Calculate the number of equivalents per liter (eq/L) of phosphate ion, PO4 3PO_4  ^{3–}, in a solution that is 5.0×1035.0 \times 10^{–3} M phosphate.

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Step 1. It is necessary to use two conversion factors:
mol PO4 3PO_4  ^{3–} → mol charge
and
mol charge → eq PO4 3PO_4  ^{3–}

Step 2. Arranging these factors in sequence yields:
5.0×103 mol PO4 31 L×3 mol charge1 mol PO4 3×1 eq PO4 31 mol charge=1.5×102 eq PO4 3L\frac{5.0 \times 10^{-3}  \cancel{mol  PO_4  ^{3–}}}{1  L} \times \frac{3  \cancel{mol  charge}}{1  \cancel{mol  PO_4  ^{3–}}} \times \frac{1  eq  PO_4  ^{3–}}{1  \cancel{mol  charge}} = \frac{1.5 \times 10^{-2}  eq  PO_4  ^{3–}}{L}

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