Answer :
Final answer:
To find the pH of a KOH solution, calculate the concentration of hydroxide ions (OH-) by converting the mass of KOH to moles, and then dividing by the volume of the solution in liters. The pOH can be found by taking the -log10 of the concentration of OH-, and the pH can be calculated using the equation pH + pOH = 14.
Explanation:
To determine the pH of a solution, we need to consider the concentration of hydroxide ions (OH-) present. Since KOH is a strong base, it will completely dissociate in water to form KOH(aq) → K+(aq) + OH-(aq).
First, convert the mass of KOH to moles by using its molar mass of 56.11 g/mol. Molar mass = mass / moles, so moles = mass / molar mass = 3.5 mg / 56.11 g/mol = 0.0623 mol.
To find the concentration of KOH, we divide the number of moles by the volume in liters: concentration = 0.0623 mol / 200 dL = 0.0003115 M.
Since KOH is a strong base, the concentration of OH- ions is equal to the concentration of KOH. Therefore, the pOH can be calculated as the -log10 of the concentration of OH- ions: pOH = -log10(0.0003115) = 3.505.
The pH can be calculated using the equation pH + pOH = 14: pH = 14 - pOH = 14 - 3.505 = 10.495.
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