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Answer:
pH = 12.20
Explanation:
Ca(OH)2 is a strong base, so it dissociates completely. A 0.08 M solution of Ca(OH)2 is 0.16 M OH-, since every mole of Ca(OH)2 has 2 OH-.
Calculate pOH using [OH-] = 0.16 M
pOH = -log(0.16) = 0.80
pH = 14 - pOH = 14 - 0.80 = 12.20
Taking into account the definition of pH and pOH, the pH of a 0.08 M solution of Ca(OH)₂ is 13.21
pH
First of all, 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⁺]
pOH
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⁻]
Relationship between pH and pOH
The following relationship can be established between pH and pOH:
pOH + pH= 14
This case
A strong base is one that dissociates completely in water, that is, it contributes the maximum number of OH- ions.
Ca(OH)₂ is a strong base that for each Ca²⁺ cation there are two OH⁻ anions and in which for each mole of Ca(OH)₂ two moles of OH⁻ are formed.
So: [OH⁻]= 2×[Ca(OH)₂]
[OH⁻]= 2×0.08 M
[OH⁻]= 0.16 M
Replacing in the definition of pOH:
pOH= - log (0.16 M)
Solving:
pOH= 0.79
Finally, considering the relationship between pH and pOH:
0.79 + pH= 14
pH= 14 - 0.79
pH= 13.21
In summary, the pH of a 0.08 M solution of Ca(OH)₂ is 13.21
Learn more about pH and pOH:
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