Step-by-step explanation:
The pH of a solution is determined by the concentration of hydrogen ions (H+) in the solution. The concentration of hydrogen ions is directly related to the amount of acid in the solution. In the case of white vinegar, the acid is acetic acid.
To calculate the pH of white vinegar, we need to know the concentration of acetic acid in the solution. Since the density of the solution is given, we can calculate the mass of acetic acid in a given volume of the solution.
The volume of the solution is equal to the density multiplied by the mass of the solution. In this case, the volume is 1.007 g/cm3 x 5.0y g = 5.035 cm3.
To calculate the mass of acetic acid in 5.035 cm3 of the vinegar, we divide the mass of the solution (5.0y g) by the volume of the solution (5.035 cm3):
5.0y g / 5.035 cm3 = 0.997 g/cm3
Now that we know the mass of acetic acid in a given volume of vinegar, we can calculate the concentration of acetic acid in the solution. To do this, we divide the mass of acetic acid (0.997 g/cm3) by the volume of the solution (5.035 cm3):
0.997 g/cm3 / 5.035 cm3 = 0.198 mol/cm3
Finally, we can calculate the pH of the white vinegar using the formula for the concentration of hydrogen ions in a solution:
pH = -log[H+] = -log(0.198) = 1.70
Therefore, the pH of white vinegar is 1.70.