To find the pH of the solution, we need to first calculate the concentration of H+ ions in the solution using the following equation:
[H+] = (moles of HCl) / (volume of solution in liters)
First, let's convert the mass of HCl to moles:
moles of HCl = mass / molar mass = 4.0 g / 36.46 g/mol = 0.1096 moles
Next, let's convert the volume to liters:
475 mL = 0.475 L
Now we can calculate the concentration of H+ ions:
[H+] = 0.1096 moles / 0.475 L = 0.2306 M
Finally, we can calculate the pH using the equation:
pH = -log[H+]
pH = -log(0.2306) = 0.637
Therefore, the pH of the solution is approximately 0.637.