A buffer solution is 0.372 M in NaHC204 and 0.323 M in Na2C₂O4. If K₂ for HC204 is 6.4E-5, what is the pH of this buffer solution?

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**Buffer Solution Calculation Example**

A buffer solution is prepared with the following concentrations:
- 0.372 M (Molar) of NaHC₂O₄
- 0.323 M (Molar) of Na₂C₂O₄

Given the acid dissociation constant \( K_a \) for HC₂O₄⁻ is \( 6.4 \times 10^{-5} \).

**Question:** What is the pH of this buffer solution?

This exercise involves the use of the Henderson-Hasselbalch equation for calculating the pH of a buffer solution:
\[ \text{pH} = pK_a + \log \left( \frac{[\text{Conjugate Base}]}{[\text{Weak Acid}]} \right) \]

**Explanation:**

1. \( K_a \) is provided, and from \( K_a \), \( pK_a \) can be found using the equation:
   \[ pK_a = -\log(K_a) \]

2. Substitute the concentrations of the conjugate base \( [\text{Na}_{2}\text{C}_2\text{O}_{4}] \) and the weak acid \( [\text{NaHC}_2\text{O}_{4}] \) into the Henderson-Hasselbalch equation.

The given information is used to find the pH of the buffer through proper calculation steps involving logarithms and the provided constants. 

Use this example to understand the practical application of acid-base chemistry in buffer systems and the importance of accurate calculations in determining pH levels.
Transcribed Image Text:**Buffer Solution Calculation Example** A buffer solution is prepared with the following concentrations: - 0.372 M (Molar) of NaHC₂O₄ - 0.323 M (Molar) of Na₂C₂O₄ Given the acid dissociation constant \( K_a \) for HC₂O₄⁻ is \( 6.4 \times 10^{-5} \). **Question:** What is the pH of this buffer solution? This exercise involves the use of the Henderson-Hasselbalch equation for calculating the pH of a buffer solution: \[ \text{pH} = pK_a + \log \left( \frac{[\text{Conjugate Base}]}{[\text{Weak Acid}]} \right) \] **Explanation:** 1. \( K_a \) is provided, and from \( K_a \), \( pK_a \) can be found using the equation: \[ pK_a = -\log(K_a) \] 2. Substitute the concentrations of the conjugate base \( [\text{Na}_{2}\text{C}_2\text{O}_{4}] \) and the weak acid \( [\text{NaHC}_2\text{O}_{4}] \) into the Henderson-Hasselbalch equation. The given information is used to find the pH of the buffer through proper calculation steps involving logarithms and the provided constants. Use this example to understand the practical application of acid-base chemistry in buffer systems and the importance of accurate calculations in determining pH levels.
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