In order to clean a clogged drain, 86g of sodium hydroxide is added to enough water to make 188mL of solution. What is the pH?

1 answer

To find the pH of the solution, we need to calculate the concentration of hydroxide ions (OH-) in the solution using the amount of sodium hydroxide added.

Step 1: Convert grams of sodium hydroxide to moles.
Molar mass of NaOH = 22.99 g/mol + 16.00 g/mol + 1.01 g/mol = 39.99 g/mol

moles of NaOH = mass / molar mass = 86 g / 39.99 g/mol = 2.15 mol

Step 2: Calculate the concentration of OH- ions in the solution.
Volume of solution = 188 mL = 188 cm³ = 188 x 10⁻³ L

concentration of OH- ions = moles / volume of solution = 2.15 mol / 0.188 L = 11.44 M

Step 3: Calculate the pOH of the solution.
pOH = -log(OH- concentration) = -log(11.44) = 0.940

Step 4: Calculate the pH of the solution.
pH + pOH = 14
pH = 14 - 0.940 = 13.06

Therefore, the pH of the solution is 13.06.