What volume in milliliters of 0.0130 M Ca(OH)2 is required to neutralize 70.0 mL of 0.0300 M HBr?

Principles of Modern Chemistry
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Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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## Question 1 of 10

### What volume in milliliters of 0.0130 M Ca(OH)₂ is required to neutralize 70.0 mL of 0.0300 M HBr?

**Explanation:**
To solve this problem, we need to use the concept of neutralization reactions, where an acid and a base react to form water and a salt. The balanced chemical equation for the reaction between calcium hydroxide (Ca(OH)₂) and hydrobromic acid (HBr) is:

\[ \text{Ca(OH)}_2 + 2 \text{HBr} \rightarrow \text{CaBr}_2 + 2 \text{H}_2\text{O} \]

This equation indicates that one mole of Ca(OH)₂ neutralizes two moles of HBr.

We use the formula:

\[ M_1V_1 = M_2V_2 \]

where:
- \( M_1 \) and \( V_1 \) are the molarity and volume of the acid (HBr) 
- \( M_2 \) and \( V_2 \) are the molarity and volume of the base (Ca(OH)₂)

However, because the mole ratio is 1:2, we need to account for this by modifying the formula:

\[ M_1V_1 = 2(M_2V_2) \]

Given:
- \( M_1 = 0.0300 \) M (HBr)
- \( V_1 = 70.0 \) mL (HBr)
- \( M_2 = 0.0130 \) M (Ca(OH)₂)

We need to find \( V_2 \):

\[ 0.0300 \, \text{M} \times 70.0 \, \text{mL} = 2 \times 0.0130 \, \text{M} \times V_2 \]

\[ 2.1 \, \text{M}\cdot\text{mL} = 0.0260 \, \text{M} \times V_2 \]

\[ V_2 = \frac{2.1 \, \text{M}\cdot\text{mL}}{0.0260 \, \text{M}} \]
Transcribed Image Text:## Question 1 of 10 ### What volume in milliliters of 0.0130 M Ca(OH)₂ is required to neutralize 70.0 mL of 0.0300 M HBr? **Explanation:** To solve this problem, we need to use the concept of neutralization reactions, where an acid and a base react to form water and a salt. The balanced chemical equation for the reaction between calcium hydroxide (Ca(OH)₂) and hydrobromic acid (HBr) is: \[ \text{Ca(OH)}_2 + 2 \text{HBr} \rightarrow \text{CaBr}_2 + 2 \text{H}_2\text{O} \] This equation indicates that one mole of Ca(OH)₂ neutralizes two moles of HBr. We use the formula: \[ M_1V_1 = M_2V_2 \] where: - \( M_1 \) and \( V_1 \) are the molarity and volume of the acid (HBr) - \( M_2 \) and \( V_2 \) are the molarity and volume of the base (Ca(OH)₂) However, because the mole ratio is 1:2, we need to account for this by modifying the formula: \[ M_1V_1 = 2(M_2V_2) \] Given: - \( M_1 = 0.0300 \) M (HBr) - \( V_1 = 70.0 \) mL (HBr) - \( M_2 = 0.0130 \) M (Ca(OH)₂) We need to find \( V_2 \): \[ 0.0300 \, \text{M} \times 70.0 \, \text{mL} = 2 \times 0.0130 \, \text{M} \times V_2 \] \[ 2.1 \, \text{M}\cdot\text{mL} = 0.0260 \, \text{M} \times V_2 \] \[ V_2 = \frac{2.1 \, \text{M}\cdot\text{mL}}{0.0260 \, \text{M}} \]
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