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Calculate the pH of a buffer solution containing 0.25 M acetic acid (Ka = 1.76 x 10⁻⁵) and 0.45 M sodium acetate.

Chemistry

ScanSolve AI Answer

Answer

5.01

Step-by-step solution

3 steps

✅ Correct.

The solution correctly calculates the pH of the buffer using the Henderson-Hasselbalch equation.

  1. The pKa\text{p}K_a is correctly calculated from the given KaK_a value

    pKa=−log⁡10(1.76×10−5)≈4.754\text{p}K_a = -\log_{10}(1.76 \times 10^{-5}) \approx 4.754
  2. The Henderson-Hasselbalch equation is applied with the correct concentrations of the acid and its conjugate base

    pH=pKa+log⁡10([A−][HA])\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right) pH=4.754+log⁡10(0.45 M0.25 M)\text{pH} = 4.754 + \log_{10}\left(\frac{0.45 \text{ M}}{0.25 \text{ M}}\right) pH=4.754+log⁡10(1.8)\text{pH} = 4.754 + \log_{10}(1.8) pH=4.754+0.255\text{pH} = 4.754 + 0.255 pH=5.009\text{pH} = 5.009
  3. The final pH is correctly rounded to two decimal places

    pH≈5.01\text{pH} \approx 5.01

    The final answer is 5.01.

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