A 15.0 mL solution of Ba(OH), is 2 neutralized with 29.0 mL of 0.200 M HCI. What is the concentration of the original Ba(OH), solution? 2

Chemistry
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The page presents a chemistry question regarding oxidation numbers. Here is a detailed transcription of the content:

---

### Question 28 of 40

#### The oxidation number of C in \( \text{C}_2\text{O}_4^{2-} \) is

*The page includes a numeric keypad for input with the following numbers and symbols:*

- Numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0
- Symbols: +/-, ., \(\times 10\), C (clear), and a backspace (X).

*There is a note at the bottom of the page:*

"Tap here or pull up for additional resources"

---

This content is designed to engage students in calculating oxidation numbers, specifically for carbon in the oxalate ion. The numeric keypad allows students to input their answers directly.
Transcribed Image Text:The page presents a chemistry question regarding oxidation numbers. Here is a detailed transcription of the content: --- ### Question 28 of 40 #### The oxidation number of C in \( \text{C}_2\text{O}_4^{2-} \) is *The page includes a numeric keypad for input with the following numbers and symbols:* - Numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 - Symbols: +/-, ., \(\times 10\), C (clear), and a backspace (X). *There is a note at the bottom of the page:* "Tap here or pull up for additional resources" --- This content is designed to engage students in calculating oxidation numbers, specifically for carbon in the oxalate ion. The numeric keypad allows students to input their answers directly.
**Question 5 of 40**

A 15.0 mL solution of Ba(OH)₂ is neutralized with 29.0 mL of 0.200 M HCl. What is the concentration of the original Ba(OH)₂ solution?

**Explanation:**

In this problem, we are given the volumes and concentration of a hydrochloric acid (HCl) solution used to neutralize a barium hydroxide [Ba(OH)₂] solution. The task is to find the concentration of the original Ba(OH)₂ solution.

**Approach:**

1. **Identify the Reaction:**

   The chemical reaction between HCl and Ba(OH)₂ is as follows:
   \[
   2 \text{HCl} + \text{Ba(OH)}_2 \rightarrow 2 \text{H}_2\text{O} + \text{BaCl}_2
   \]

2. **Calculate Moles:**

   - **Moles of HCl**:
     Volume of HCl = 29.0 mL = 0.0290 L
     Concentration of HCl = 0.200 M 
     \[
     \text{Moles of HCl} = 0.200 \, \text{mol/L} \times 0.0290 \, \text{L} = 0.0058 \, \text{mol}
     \]

   - **Moles of Ba(OH)₂**:
     From the stoichiometry of the reaction, 2 moles of HCl react with 1 mole of Ba(OH)₂. Hence, the moles of Ba(OH)₂ is half the moles of HCl.
     \[
     \text{Moles of Ba(OH)}_2 = \frac{0.0058}{2} \, \text{mol} = 0.0029 \, \text{mol}
     \]

3. **Determine the Concentration of Ba(OH)₂**:

   Volume of Ba(OH)₂ = 15.0 mL = 0.0150 L
   \[
   \text{Concentration of Ba(OH)}_2 = \frac{0.0029 \, \text{mol}}{0.0150 \, \text{L}} = 0.193 \
Transcribed Image Text:**Question 5 of 40** A 15.0 mL solution of Ba(OH)₂ is neutralized with 29.0 mL of 0.200 M HCl. What is the concentration of the original Ba(OH)₂ solution? **Explanation:** In this problem, we are given the volumes and concentration of a hydrochloric acid (HCl) solution used to neutralize a barium hydroxide [Ba(OH)₂] solution. The task is to find the concentration of the original Ba(OH)₂ solution. **Approach:** 1. **Identify the Reaction:** The chemical reaction between HCl and Ba(OH)₂ is as follows: \[ 2 \text{HCl} + \text{Ba(OH)}_2 \rightarrow 2 \text{H}_2\text{O} + \text{BaCl}_2 \] 2. **Calculate Moles:** - **Moles of HCl**: Volume of HCl = 29.0 mL = 0.0290 L Concentration of HCl = 0.200 M \[ \text{Moles of HCl} = 0.200 \, \text{mol/L} \times 0.0290 \, \text{L} = 0.0058 \, \text{mol} \] - **Moles of Ba(OH)₂**: From the stoichiometry of the reaction, 2 moles of HCl react with 1 mole of Ba(OH)₂. Hence, the moles of Ba(OH)₂ is half the moles of HCl. \[ \text{Moles of Ba(OH)}_2 = \frac{0.0058}{2} \, \text{mol} = 0.0029 \, \text{mol} \] 3. **Determine the Concentration of Ba(OH)₂**: Volume of Ba(OH)₂ = 15.0 mL = 0.0150 L \[ \text{Concentration of Ba(OH)}_2 = \frac{0.0029 \, \text{mol}}{0.0150 \, \text{L}} = 0.193 \
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