Calculate the volume of 0.400 M H3PO4 needed to react with 200.0 mL of 0.200 M NaOH.
Solution:
Balanced chemical equation:
H3PO4 + 3NaOH ⟶ Na3PO4 + 3H2O
According to stoichiometry:
Moles of H3PO4 = Moles of NaOH / 3
or
3 × Molarity of H3PO4 × Volume of H3PO4 = Molarity of NaOH × Volume of NaOH
Therefore,
Volume of H3PO4 = (Molarity of NaOH × Volume of NaOH) / (3 × Molarity of H3PO4)
Volume of H3PO4 = (0.200 M × 200.0 mL) / (3 × 0.400 M) = 33.3 mL
Volume of H3PO4 = 33.3 mL
Answer: 33.3 mL of H3PO4 needed
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