How many ml of 0.25 M HCl is required to neutralize 50.OM of 0.30M NaOH?

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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: Determining the Volume of HCl Needed to Neutralize NaOH**

**Problem Statement:**
How many milliliters (ml) of 0.25 M HCl is required to neutralize 50.0 ml of 0.30 M NaOH?

**Detailed Explanation:**
To solve this problem, you need to use the concept of neutralization in chemistry. Neutralization occurs when an acid and a base react to form water and a salt. The number of moles of H\(^+\) ions from the acid will equal the number of moles of OH\(^-\) ions from the base.

The relationship between the concentrations and volumes of the acid and base can be given by the formula:
\[ \text{M}_1 \cdot \text{V}_1 = \text{M}_2 \cdot \text{V}_2 \]
where:
- \( \text{M}_1 \) is the molarity of the acid (HCl)
- \( \text{V}_1 \) is the volume of the acid
- \( \text{M}_2 \) is the molarity of the base (NaOH)
- \( \text{V}_2 \) is the volume of the base

**Given:**
- \( \text{M}_1 = 0.25 \) M
- \( \text{M}_2 = 0.30 \) M
- \( \text{V}_2 = 50.0 \) ml

**Calculation:**
\[ 0.25 \, \text{M} \times \text{V}_1 = 0.30 \, \text{M} \times 50.0 \, \text{ml} \]
\[ \text{V}_1 = \frac{0.30 \, \text{M} \times 50.0 \, \text{ml}}{0.25 \, \text{M}} \]
\[ \text{V}_1 = \frac{15}{0.25} \]
\[ \text{V}_1 = 60 \, \text{ml} \]

**Conclusion:**
You would need 60.0 ml of 0.25 M HCl to neutralize 50.0 ml of 0.30 M NaOH.
Transcribed Image Text:**Neutralization Calculation: Determining the Volume of HCl Needed to Neutralize NaOH** **Problem Statement:** How many milliliters (ml) of 0.25 M HCl is required to neutralize 50.0 ml of 0.30 M NaOH? **Detailed Explanation:** To solve this problem, you need to use the concept of neutralization in chemistry. Neutralization occurs when an acid and a base react to form water and a salt. The number of moles of H\(^+\) ions from the acid will equal the number of moles of OH\(^-\) ions from the base. The relationship between the concentrations and volumes of the acid and base can be given by the formula: \[ \text{M}_1 \cdot \text{V}_1 = \text{M}_2 \cdot \text{V}_2 \] where: - \( \text{M}_1 \) is the molarity of the acid (HCl) - \( \text{V}_1 \) is the volume of the acid - \( \text{M}_2 \) is the molarity of the base (NaOH) - \( \text{V}_2 \) is the volume of the base **Given:** - \( \text{M}_1 = 0.25 \) M - \( \text{M}_2 = 0.30 \) M - \( \text{V}_2 = 50.0 \) ml **Calculation:** \[ 0.25 \, \text{M} \times \text{V}_1 = 0.30 \, \text{M} \times 50.0 \, \text{ml} \] \[ \text{V}_1 = \frac{0.30 \, \text{M} \times 50.0 \, \text{ml}}{0.25 \, \text{M}} \] \[ \text{V}_1 = \frac{15}{0.25} \] \[ \text{V}_1 = 60 \, \text{ml} \] **Conclusion:** You would need 60.0 ml of 0.25 M HCl to neutralize 50.0 ml of 0.30 M NaOH.
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