What volume of a 0.100 M solution of sodium hydroxide is necessary to neutralize 100.0 mL of a 0.0500 M H2SO4 solution?

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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### Neutralization Calculation Problem

**Problem Statement:**

6. What volume of a 0.100 M solution of sodium hydroxide is necessary to neutralize 100.0 mL of a 0.0500 M H₂SO₄ solution?

**Explanation:**

This problem requires a calculation of the volume of sodium hydroxide (\( NaOH \)) solution needed to completely neutralize a given volume of sulfuric acid (\( H₂SO₄ \)) solution. This is typical of stoichiometry problems in chemistry where a strong acid neutralizes a strong base.
To find the volume of \( NaOH \) required, we need to understand the neutralization reaction between \( H₂SO₄ \) and \( NaOH \). The balanced chemical equation is:

\[ H_2SO_4 + 2 NaOH \rightarrow Na_2SO_4 + 2 H_2O \]

From the equation, it can be observed that 1 mole of \( H_2SO_4 \) reacts with 2 moles of \( NaOH \).

1. First, calculate the moles of \( H_2SO_4 \):

\[ \text{Moles of } H_2SO_4 = Molarity \times Volume = 0.0500 \, M \times 0.100 \, L = 0.005 \, \text{moles} \]

2. Based on the stoichiometry of the reaction, calculate the moles of \( NaOH \) needed:

\[ \text{Moles of } NaOH = 2 \times \text{Moles of } H_2SO_4 = 2 \times 0.005 = 0.010 \text{ moles of } NaOH \]

3. Finally, using the molarity of the \( NaOH \) solution, calculate the volume of \( NaOH \) required:

\[ \text{Volume of } NaOH = \frac{\text{Moles of } NaOH}{\text{Molarity}} = \frac{0.010 \, \text{moles}}{0.100 \, M} = 0.100 \, L \text{ or } 100.0 \, mL \]

So, 100.0 mL of a 0.100 M sodium hydroxide solution is necessary to neutralize
Transcribed Image Text:### Neutralization Calculation Problem **Problem Statement:** 6. What volume of a 0.100 M solution of sodium hydroxide is necessary to neutralize 100.0 mL of a 0.0500 M H₂SO₄ solution? **Explanation:** This problem requires a calculation of the volume of sodium hydroxide (\( NaOH \)) solution needed to completely neutralize a given volume of sulfuric acid (\( H₂SO₄ \)) solution. This is typical of stoichiometry problems in chemistry where a strong acid neutralizes a strong base. To find the volume of \( NaOH \) required, we need to understand the neutralization reaction between \( H₂SO₄ \) and \( NaOH \). The balanced chemical equation is: \[ H_2SO_4 + 2 NaOH \rightarrow Na_2SO_4 + 2 H_2O \] From the equation, it can be observed that 1 mole of \( H_2SO_4 \) reacts with 2 moles of \( NaOH \). 1. First, calculate the moles of \( H_2SO_4 \): \[ \text{Moles of } H_2SO_4 = Molarity \times Volume = 0.0500 \, M \times 0.100 \, L = 0.005 \, \text{moles} \] 2. Based on the stoichiometry of the reaction, calculate the moles of \( NaOH \) needed: \[ \text{Moles of } NaOH = 2 \times \text{Moles of } H_2SO_4 = 2 \times 0.005 = 0.010 \text{ moles of } NaOH \] 3. Finally, using the molarity of the \( NaOH \) solution, calculate the volume of \( NaOH \) required: \[ \text{Volume of } NaOH = \frac{\text{Moles of } NaOH}{\text{Molarity}} = \frac{0.010 \, \text{moles}}{0.100 \, M} = 0.100 \, L \text{ or } 100.0 \, mL \] So, 100.0 mL of a 0.100 M sodium hydroxide solution is necessary to neutralize
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