Taking into account the definition of pH and pOH, the pH of the solution is 12.
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⁺]
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⁻]
The following relationship can be established between pH and pOH:
pOH + pH= 14
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.
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