Answer:
pH = 3.93
Step-by-step explanation:
To calculate the pH of the final solution, we need to first calculate the moles of HCl that are added to the water.
moles of HCl = (volume in liters) x (molarity)
moles of HCl = (57.00 mL / 1000 mL/L) x (2.26 x 10^-3 mol/L)
moles of HCl = 1.29 x 10^-5 mol
Next, we need to calculate the total volume of the solution:
total volume = volume of HCl + volume of water
total volume = 57.00 mL + 52.00 mL = 109.00 mL = 0.109 L
Now we can use the moles of HCl and the total volume of the solution to calculate the molarity of the HCl in the final solution:
Molarity of HCl = moles of HCl / total volume of solution
Molarity of HCl = 1.29 x 10^-5 mol / 0.109 L
Molarity of HCl = 1.18 x 10^-4 M
Finally, we can use the molarity of the HCl to calculate the pH of the solution using the equation:
pH = -log[H+]
[H+] = molarity of HCl
pH = -log(1.18 x 10^-4)
pH = 3.93
Therefore, the pH of the final solution is approximately 3.93