Taking into account the definition of pH and pOH, the pH of the solution is 9.69.
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 4.9×10⁻⁵ M. This is [OH⁻]= 4.9×10⁻⁵ M. So, pOH is calculated as:
pOH= - log (4.9×10⁻⁵ M)
Solving;
pOH= 4.31
Replacing in the relationship established between pH and pOH, the pH can be calculated as:
pH + 4.31= 14
Solving:
pH= 14 - 4.31
pH= 9.69
In summary, the pH of the solution is 9.69.
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