Taking into account the definition of pH and pOH, the hydroxide ion concentration will be 1×10⁻¹¹ M.
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 hydrogen ion concentration of 1×10⁻³ M. In other words [H⁺]= 1×10⁻³ M.
Replacing in the definition of pH, it is calculated as:
pH= - log (1×10⁻³ M)
Solving;
pH= 3
Replacing in the relationship established between pH and pOH, the pOH can be calculated as:
pOH + 3= 14
Solving:
pOH= 14 - 3
pOH= 11
Replacing in the definition of pOH the concentration of OH⁻ ions is obtained:
- log [OH⁻]= 11
Solving:
[OH⁻]= 10⁻¹¹
[OH⁻]= 1×10⁻¹¹ M
In summary, the hydroxide ion concentration will be 1×10⁻¹¹ M.
Learn more about pH and pOH:
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