Question

What would the pH of a solution that had a hydroxide ion concentration of 1 x 10-2 M be?

Answer 1

Taking into account the definition of pH and pOH, the pH of the solution is 12.

Definition of pH

pH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.

The pH is defined as the negative base 10 logarithm of the activity of hydrogen ions, that is, the concentration of hydrogen ions or H₃O⁺:

pH= - log [H⁺]= - log [H₃O⁺]

Definition of pOH

Similarly, pOH is a measure of hydroxyl ions in a solution and is expressed as the logarithm of the concentration of OH⁻ ions, with the sign changed:

pOH= - log [OH⁻]

Relationship between pH and pOH

The following relationship can be established between pH and pOH:

pOH + pH= 14

pH in this case

A solution had a hydroxide ion concentration of 1×10⁻² M. In other words [OH⁻]= 1×10⁻² M.

Replacing in the definition of pOH, it is calculated as:

pOH= - log (1×10⁻² M)

Solving;

pOH= 2

Replacing in the relationship established between pH and pOH, the pH can be calculated as:

pH + 2= 14

Solving:

pH= 14 - 2

pH= 12

In summary, the pH of the solution is 12.

Learn more about pH and pOH:

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