Just as pH is the negative logarithm of [H3O+]. PK is the negative logarithm of Ka. pKa log Ka The Henderson-Hasselbalch equation is used. buffer solutions: pH=pK₂ + log calculate the pH of base (acid Notice that the pH of a buffer has a value close to the PKa of the acid. differing only by the logarithm of the concentration ratio [base]/[acid]. The Henderson-Hasselbalch equation in terms of pOH and PK is similar. (base) pOH =pK+log acid Part A Acetic acid has a K₁ of 1.8 x 105. Three acetic acid/acetate buffer solutions, A, B. and C, were made using varying concentrations: A. [acetic acid] ten times greater than [acetate]. B. [acetate] ten times greater than [acetic acid], and c. [acetate] [acetic acid]. Match each buffer to the expected pH Drag the appropriate items to their respective bins. ▸ View Available Hint(s) [acetic acid] ten times greater than [acetate] pH = 3.74 [acetate] ten times greater than [acetic acid] pH = 4.74 Reset Help [acetate] [acetic acid] pH = 5.74

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**Base/Acid Ratios in Buffers**

In buffer chemistry, understanding the relationship between base and acid concentrations is crucial. Here's an overview of the key concepts and an interactive exercise to reinforce them.

**Henderson-Hasselbalch Equation**

- **pH Calculation:**
  Just as pH is the negative logarithm of [H₃O⁺], pKₐ is the negative logarithm of Kₐ.
  \[
  pK_a = -\log K_a
  \]
  The Henderson-Hasselbalch equation is used to calculate the pH of buffer solutions:
  \[
  \text{pH} = pK_a + \log \left(\frac{\text{[base]}}{\text{[acid]}}\right)
  \]
  Notice that the pH of a buffer is close to the pKₐ of the acid, differing only by the logarithm of the concentration ratio [base]/[acid].

- **pOH Calculation:**
  The Henderson-Hasselbalch equation in terms of pOH and pK_b is similar:
  \[
  \text{pOH} = pK_b + \log \left(\frac{\text{[acid]}}{\text{[base]}}\right)
  \]

**Interactive Exercise: Part A**

Given:
- Acetic acid with a \(K_a\) of \(1.8 \times 10^{-5}\).
- Three buffer solutions (A, B, C) with varying concentrations:

  A. [acetic acid] ten times greater than [acetate].
  
  B. [acetate] ten times greater than [acetic acid].
  
  C. [acetate] = [acetic acid].

**Task:**
Match each buffer to the expected pH. Drag the appropriate items to their respective bins.

- **Bins:**
  - pH = 3.74
  - pH = 4.74
  - pH = 5.74

Use this interactive module to solidify your understanding of buffer solutions and pH calculations.
Transcribed Image Text:**Base/Acid Ratios in Buffers** In buffer chemistry, understanding the relationship between base and acid concentrations is crucial. Here's an overview of the key concepts and an interactive exercise to reinforce them. **Henderson-Hasselbalch Equation** - **pH Calculation:** Just as pH is the negative logarithm of [H₃O⁺], pKₐ is the negative logarithm of Kₐ. \[ pK_a = -\log K_a \] The Henderson-Hasselbalch equation is used to calculate the pH of buffer solutions: \[ \text{pH} = pK_a + \log \left(\frac{\text{[base]}}{\text{[acid]}}\right) \] Notice that the pH of a buffer is close to the pKₐ of the acid, differing only by the logarithm of the concentration ratio [base]/[acid]. - **pOH Calculation:** The Henderson-Hasselbalch equation in terms of pOH and pK_b is similar: \[ \text{pOH} = pK_b + \log \left(\frac{\text{[acid]}}{\text{[base]}}\right) \] **Interactive Exercise: Part A** Given: - Acetic acid with a \(K_a\) of \(1.8 \times 10^{-5}\). - Three buffer solutions (A, B, C) with varying concentrations: A. [acetic acid] ten times greater than [acetate]. B. [acetate] ten times greater than [acetic acid]. C. [acetate] = [acetic acid]. **Task:** Match each buffer to the expected pH. Drag the appropriate items to their respective bins. - **Bins:** - pH = 3.74 - pH = 4.74 - pH = 5.74 Use this interactive module to solidify your understanding of buffer solutions and pH calculations.
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