Answer: 1.52
To calculate the pH, we need to first find the new concentration of the HCl solution after dilution:
moles of HCl in initial solution = 15.00 ml x 1.00 mol/L = 0.015 mol
new concentration of HCl = moles/volume = 0.015 mol/0.500 L = 0.030 mol/L
Next, we can use the definition of pH:
pH = -log[H+]
where [H+] is the concentration of hydrogen ions in solution. In this case, since HCl is a strong acid, it completely dissociates into H+ and Cl- ions in solution. Therefore, the concentration of H+ is equal to the concentration of HCl:
[H+] = 0.030 mol/L
Finally, we can plug this into the pH equation:
pH = -log(0.030) = 1.52
Therefore, the pH of the diluted HCl solution is 1.52.