Taking into account the definition of pH and pOH, the hydroxide ion concentration will be 6.61×10⁻⁵ M.
<h3>Definition of pH</h3>
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⁺]
<h3>Definition of pOH</h3>
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⁻]
<h3>Relationship between pH and pOH</h3>
The following relationship can be established between pH and pOH:
pOH + pH= 14
<h3>Hydroxide ion concentration</h3>
In this case you know that the hydrogen ion concentration is 1.5×10⁻¹⁰ M, this is, [H⁺]= 1.5×10⁻¹⁰ M.
Replacing in the definition of pH:
pH= - log (1.5×10⁻¹⁰ M)
Solving:
pH= 9.82
Replacing in the relationship established between pH and pOH, the pOH can be calculated as:
pOH + 9.82= 14
Solving:
pOH= 14 - 9.82
<u><em>pOH= 4.18</em></u>
Replacing in the definition of pOH, the concentration of hydroxide ion is obtained:
- log [OH⁻]= 4.18
Solving:
[OH⁻]= 10⁻⁴ ¹⁸
<u><em> [OH⁻]= 6.61×10⁻⁵ M</em></u>
In summary, the hydroxide ion concentration will be 6.61×10⁻⁵ M.
Learn more about pH and pOH:
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