If the complete neutralization of 250mL of a H3PO4 solution requires 47 mL of 2.2 M KOH, what is the molarity of the H3PO4? The balanced chemical equation is provided below. H3PO4+3KOH->K3PO4+3H₂O Do not include units in your numeric answer.

Chemistry: The Molecular Science
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Chapter14: Acids And Bases
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**Question:**
If the complete neutralization of 250 mL of an H₃PO₄ solution requires 47 mL of 2.2 M KOH, what is the molarity of the H₃PO₄? The balanced chemical equation is provided below.

\[ \text{H}_3\text{PO}_4 + 3\text{KOH} \rightarrow \text{K}_3\text{PO}_4 + 3\text{H}_2\text{O} \]

**Instructions:**
Do not include units in your numeric answer. 

**Solution Explanation:**
Given the balanced chemical reaction and the conditions, the goal is to find the molarity (M) of the phosphoric acid (H₃PO₄) solution. 

1. **Balanced Equation Analysis:**
   - According to the balanced chemical equation, one mole of H₃PO₄ reacts with three moles of KOH. 

2. **Calculate Moles of KOH:**
   - Volume (V) of KOH = 47 mL = 0.047 L
   - Molarity (M) of KOH = 2.2 M
   - Moles of KOH = Molarity (M) × Volume (V) = 2.2 M × 0.047 L = 0.1034 moles

3. **Stoichiometric Relationship:**
   - From the balanced equation, 3 moles of KOH react with 1 mole of H₃PO₄.
   - Therefore, moles of H₃PO₄ = Moles of KOH / 3 = 0.1034 moles / 3 ≈ 0.03447 moles

4. **Calculate Molarity of H₃PO₄:**
   - Volume (V) of H₃PO₄ solution = 250 mL = 0.250 L
   - Molarity (M) of H₃PO₄ = Moles / Volume = 0.03447 moles / 0.250 L ≈ 0.13788 M

Thus, the molarity of the H₃PO₄ solution is approximately \( 0.138 \) (rounded to three significant figures).
Transcribed Image Text:**Question:** If the complete neutralization of 250 mL of an H₃PO₄ solution requires 47 mL of 2.2 M KOH, what is the molarity of the H₃PO₄? The balanced chemical equation is provided below. \[ \text{H}_3\text{PO}_4 + 3\text{KOH} \rightarrow \text{K}_3\text{PO}_4 + 3\text{H}_2\text{O} \] **Instructions:** Do not include units in your numeric answer. **Solution Explanation:** Given the balanced chemical reaction and the conditions, the goal is to find the molarity (M) of the phosphoric acid (H₃PO₄) solution. 1. **Balanced Equation Analysis:** - According to the balanced chemical equation, one mole of H₃PO₄ reacts with three moles of KOH. 2. **Calculate Moles of KOH:** - Volume (V) of KOH = 47 mL = 0.047 L - Molarity (M) of KOH = 2.2 M - Moles of KOH = Molarity (M) × Volume (V) = 2.2 M × 0.047 L = 0.1034 moles 3. **Stoichiometric Relationship:** - From the balanced equation, 3 moles of KOH react with 1 mole of H₃PO₄. - Therefore, moles of H₃PO₄ = Moles of KOH / 3 = 0.1034 moles / 3 ≈ 0.03447 moles 4. **Calculate Molarity of H₃PO₄:** - Volume (V) of H₃PO₄ solution = 250 mL = 0.250 L - Molarity (M) of H₃PO₄ = Moles / Volume = 0.03447 moles / 0.250 L ≈ 0.13788 M Thus, the molarity of the H₃PO₄ solution is approximately \( 0.138 \) (rounded to three significant figures).
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