Calculate the pH of a solution prepared by adding exactly 10.0 mL of a 14.8 M KOH solution to 2

step 1 In answering this question, we have to recall that the pH is equal to negative log, the concentr

Calculate the pH of a solution prepared by adding exactly...

Calculate the $\mathrm{pH}$ of a solution prepared by adding exactly $10.0 \mathrm{~mL}$ of a $14.8 \mathrm{M} \mathrm{KOH}$ solution to $200 \mathrm{~mL}$ of water, then adding water until the volume of solution is exactly $250 \mathrm{~mL}$.

Key Concepts

pOH Calculation and pH Relationship

The concentration of hydroxide ions in a solution is used to calculate the pOH, which is the negative logarithm of the hydroxide ion concentration. Knowing pOH, one can determine the pH of a solution using the relationship pH + pOH = 14, a key concept in understanding acid-base equilibrium in aqueous solutions.

Strong Base and Complete Dissociation

A strong base, such as hydroxides that completely ionize in water, dissociates entirely into its constituent ions. This characteristic simplifies calculations because the molar concentration of the hydroxide ion (OH?) after dissolution is equal to the original concentration of the strong base before dilution.

pH Scale

The pH scale measures the acidity or basicity of a solution, typically ranging from 0 to 14 for aqueous solutions. It provides a logarithmic representation of the hydrogen ion concentration, thereby enabling a more manageable and intuitive interpretation of the concentration variations in chemical systems.

Molarity and Concentration

Molarity is defined as the number of moles of solute per liter of solution and is a fundamental concept in solution chemistry. It allows for the quantification of how much substance is present in a given volume, which is essential for calculating the effects of diluting or mixing solutions and for subsequent reaction stoichiometry.

Dilution and Volume Calculations

Dilution involves adding solvent to a solution, thereby decreasing the concentration of the solute while keeping the number of moles constant. It is important to use the relationship between the initial and final volumes and concentrations (m?V? = m?V?) to determine the new concentration after dilution.

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