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19 Calculate The Ph of A 0.36 M Ch3coona Solution

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Calculating the pH of a CH3COONa (sodium acetate) solution is essential in chemistry for understanding buffer systems and acid-base equilibria. This guide provides a step-by-step method to determine the pH of a 0.36 M CH3COONa solution using the Henderson-Hasselbalch equation.

Introduction

CH3COONa is a weak base that dissociates in water to form acetate ions (CH3COO-) and sodium ions (Na+). The pH of a CH3COONa solution can be calculated using the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the ratio of the concentrations of a weak acid and its conjugate base.

For a CH3COONa solution, the weak acid is acetic acid (CH3COOH), and the conjugate base is the acetate ion (CH3COO-). The pH of the solution is determined by the ratio of these two species.

Calculation Method

The pH of a CH3COONa solution can be calculated using the following steps:

  1. Determine the concentration of CH3COONa (C_base).
  2. Assume that the solution is a buffer system where CH3COONa is the conjugate base and CH3COOH is the weak acid.
  3. Use the Henderson-Hasselbalch equation to calculate the pH:
    pH = pKa + log([CH3COO-]/[CH3COOH])
  4. For a 0.36 M CH3COONa solution, the pKa of acetic acid is 4.76.

In a buffer system, the concentration of the weak acid (CH3COOH) is equal to the concentration of the conjugate base (CH3COO-) because they are in equilibrium. Therefore, the ratio [CH3COO-]/[CH3COOH] is equal to 1.

Example Calculation

Let's calculate the pH of a 0.36 M CH3COONa solution:

  1. Given: C_base = 0.36 M (CH3COONa)
  2. Assume [CH3COOH] = [CH3COO-] = C_base = 0.36 M
  3. pKa of acetic acid = 4.76
  4. Using the Henderson-Hasselbalch equation:
    pH = 4.76 + log(0.36/0.36) = 4.76 + log(1) = 4.76 + 0 = 4.76

The calculated pH of the 0.36 M CH3COONa solution is 4.76.

Note: The pH of a pure CH3COONa solution is equal to its pKa because the ratio of [CH3COO-]/[CH3COOH] is 1. This is a characteristic of buffer solutions.

Interpretation

A pH of 4.76 indicates that the solution is slightly acidic. This is expected because acetic acid (CH3COOH) is a weak acid with a pKa of 4.76. The solution is a buffer system, meaning it can resist changes in pH when small amounts of acid or base are added.

This calculation is useful in chemistry for understanding buffer systems, acid-base equilibria, and the behavior of weak bases in solution.

FAQ

What is the pH of a 0.36 M CH3COONa solution?

The pH of a 0.36 M CH3COONa solution is 4.76, which is equal to the pKa of acetic acid. This is because the solution is a buffer system where the ratio of [CH3COO-]/[CH3COOH] is 1.

Why is the pH of a CH3COONa solution equal to its pKa?

The pH of a CH3COONa solution is equal to its pKa because the solution is a buffer system where the concentration of the conjugate base (CH3COO-) is equal to the concentration of the weak acid (CH3COOH). This results in a ratio of 1, making the pH equal to the pKa.

What is the significance of a buffer system?

A buffer system resists changes in pH when small amounts of acid or base are added. This is because the system contains a weak acid and its conjugate base, which can neutralize added acid or base and maintain the pH.