Final answer:
To prepare a 0.10 M acetic acid solution, you will need approximately 2.38 mL of 4.2 M acetic acid. The pH of the resulting solution will be approximately 4.75.
Step-by-step explanation:
To calculate the volume of 4.2 M acetic acid needed to prepare 100 mL of a 0.10 M acetic acid solution, we can use the formula:
Volume of 4.2 M acetic acid = (0.10 M)(100 mL) / 4.2 M
This gives us a volume of approximately 2.38 mL of 4.2 M acetic acid needed.
To calculate the pH of the resulting solution, we need to use the Henderson-Hasselbalch equation:
pH = pKa + log([conjugate base]/[acid])
In this case, the pKa for acetic acid is 4.75. Plugging in the values, we get:
pH = 4.75 + log(0.10/0.10)
After simplification, the pH of the resulting solution is approximately 4.75.