Taking into account the definition of pH and pOH, [H₃O⁺] will be 1×10⁻³ 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
In this case, you know that [OH⁻]= 1×10⁻¹¹ M.
Replacing in the definition of pOH, it is calculated as:
pOH= - log (1×10⁻¹¹ M)
Solving;
pOH= 11
Replacing in the relationship established between pH and pOH, the pH can be calculated as:
pH + 11= 14
Solving:
pH= 14 - 11
pOH= 3
Replacing in the definition of pH the concentration of H₃O⁺ ions is obtained:
- log [H₃O⁺]= 3
Solving:
[H₃O⁺]= 10⁻³
[H₃O⁺]= 1×10⁻³ M
In summary, [H₃O⁺] will be 1×10⁻³ M.
Learn more about pH and pOH:
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