Final answer:
To calculate the pH of the mixed hydrochloric acid solution, sum the total moles of HCl from both solutions, find the final volume of the mixture, and use the concentration of H+ ions, which equals the concentration of HCl, to find the pH.
Step-by-step explanation:
The question is asking us to calculate the pH of a mixture resulting from combining two different concentrations of hydrochloric acid (HCl) solutions with known volumes. To find the pH, we first need to calculate the total moles of HCl present in the mixture and then the concentration of HCl in the final mixed solution.
We can calculate the total moles of HCl in each solution using the formula:
- moles HCl in first solution = volume × molarity = 34.57 mL × 4.523 M
- moles HCl in second solution = volume × molarity = 60.44 mL × 5.363 M
After calculating the moles of HCl for each solution, we sum them to get the total moles of HCl in the mixture. Then, we calculate the final volume of the mixed solution by adding the volumes of the two solutions together.
The final concentration of HCl in the mixture is calculated by dividing the total moles of HCl by the total volume of the mixture. Since HCl is a strong acid and dissociates completely in water, the concentration of H+ ions is equal to the concentration of HCl. We then use the formula:
pH = -log[H+]
to find the pH of the mixture to three decimal places.