A certain weak base has a Kb of 7.10 x 10-7. What concentration of this base will produce a pH of 10.06? concentration:

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Chapter1: Chemical Foundations
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**Problem Statement:**

A certain weak base has a \( K_b \) of \( 7.10 \times 10^{-7} \). What concentration of this base will produce a pH of 10.06?

**Required:**

Calculate the concentration of the base.

**Solution:**

1. **Identify the Information Given:**
   - \( K_b = 7.10 \times 10^{-7} \)
   - Desired pH = 10.06
   
2. **Steps to Solution:**
   - Use the pH to find \( pOH \): \( pOH = 14 - \text{pH} \)
   - Calculate the hydroxide ion concentration \([\text{OH}^-]\) using the equation:
     \[
     [\text{OH}^-] = 10^{-\text{pOH}}
     \]
   - Apply the formula for weak bases: 
     \[
     K_b = \frac{[\text{OH}^-]^2}{[\text{Base}]}
     \]
   - Rearrange to find the concentration of the base:
     \[
     [\text{Base}] = \frac{[\text{OH}^-]^2}{K_b}
     \]
   
3. **Provide the calculated concentration of the base in the box provided.**

**Note:** Ensure to show all calculations clearly with appropriate units.
Transcribed Image Text:**Problem Statement:** A certain weak base has a \( K_b \) of \( 7.10 \times 10^{-7} \). What concentration of this base will produce a pH of 10.06? **Required:** Calculate the concentration of the base. **Solution:** 1. **Identify the Information Given:** - \( K_b = 7.10 \times 10^{-7} \) - Desired pH = 10.06 2. **Steps to Solution:** - Use the pH to find \( pOH \): \( pOH = 14 - \text{pH} \) - Calculate the hydroxide ion concentration \([\text{OH}^-]\) using the equation: \[ [\text{OH}^-] = 10^{-\text{pOH}} \] - Apply the formula for weak bases: \[ K_b = \frac{[\text{OH}^-]^2}{[\text{Base}]} \] - Rearrange to find the concentration of the base: \[ [\text{Base}] = \frac{[\text{OH}^-]^2}{K_b} \] 3. **Provide the calculated concentration of the base in the box provided.** **Note:** Ensure to show all calculations clearly with appropriate units.
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