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A titration of 30.0 ml of a phosphoric acid (H₃PO‚„) solution of unknown concentration with a standardized 1.05 M Ca(OH)₂ solution requires 40.2 ml to reach the third equivalence point. What is the concentration of the H₃PO‚„ solution?

User Mecon
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Final answer:

The concentration of the H₃PO‚„ solution is 0.261 M.

Step-by-step explanation:

This question involves a titration between a phosphoric acid (H₃PO‚„) solution and a calcium hydroxide (Ca(OH)₂) solution. The titration requires 40.2 ml of the Ca(OH)₂ solution to reach the third equivalence point. To find the concentration of the H₃PO‚„ solution, we can use the equation:

H₃PO‚„ (aq) + 3Ca(OH)₂ (aq) →→→→ Ca₃(PO₄)₂ (aq) + 6H₂O (1)

Since the balanced equation shows a 1:3 molar ratio between H₃PO‚„ and Ca(OH)₂, we can calculate the concentration of the H₃PO‚„ solution by multiplying the concentration of the Ca(OH)₂ solution (1.05 M) by the volume ratio:

Concentration of H₃PO‚„ solution = (1.05 M) × (30.0 ml / 40.2 ml) × (1 / 3) = 0.261 M

User Michael Sims
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