Calculate the volume (in mL) of a 0.300 M aqueous NaOH solution required to react completely with 32.5 mL of a 0.200 M aqueous solution of H,S04. H2SO4(aq) + 2 NaOH(aq) → NażSO4(aq) + 2 H20(1)

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### Test Bank, Question 14.114

Calculate the volume (in mL) of a **0.300 M** aqueous NaOH solution required to react completely with **32.5 mL** of a **0.200 M** aqueous solution of **H₂SO₄**.

**Chemical reaction:**
\[ \text{H}_2\text{SO}_4(\text{aq}) + 2 \text{NaOH}(\text{aq}) \rightarrow \text{Na}_2\text{SO}_4(\text{aq}) + 2 \text{H}_2\text{O}(\text{l}) \]

\[ \text{Volume:} \quad \_\_\_\_\_\_\_\_ \text{mL} \]

**Note:** The tolerance is +/- 2%.

**Explanation:**
This problem involves using stoichiometry to determine the volume of a base (NaOH) needed to completely neutralize a given volume of an acid (H₂SO₄). 

The balanced chemical equation shows that 1 mole of H₂SO₄ reacts with 2 moles of NaOH. Given the molarity and volume of H₂SO₄, you can find moles of H₂SO₄ and then use the stoichiometric relationship to find moles of NaOH required. Finally, using the molarity of the NaOH solution, you can determine the volume needed.
Transcribed Image Text:### Test Bank, Question 14.114 Calculate the volume (in mL) of a **0.300 M** aqueous NaOH solution required to react completely with **32.5 mL** of a **0.200 M** aqueous solution of **H₂SO₄**. **Chemical reaction:** \[ \text{H}_2\text{SO}_4(\text{aq}) + 2 \text{NaOH}(\text{aq}) \rightarrow \text{Na}_2\text{SO}_4(\text{aq}) + 2 \text{H}_2\text{O}(\text{l}) \] \[ \text{Volume:} \quad \_\_\_\_\_\_\_\_ \text{mL} \] **Note:** The tolerance is +/- 2%. **Explanation:** This problem involves using stoichiometry to determine the volume of a base (NaOH) needed to completely neutralize a given volume of an acid (H₂SO₄). The balanced chemical equation shows that 1 mole of H₂SO₄ reacts with 2 moles of NaOH. Given the molarity and volume of H₂SO₄, you can find moles of H₂SO₄ and then use the stoichiometric relationship to find moles of NaOH required. Finally, using the molarity of the NaOH solution, you can determine the volume needed.
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