Question

What would the hydroxide ion concentration be if the hydrogen ion concentration was 1.5 x 10-10 M?

Answer 1

Taking into account the definition of pH and pOH, the hydroxide ion concentration will be 6.61×10⁻⁵ M.

Definition of pH

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⁺]

Definition of 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

Hydroxide ion concentration

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

pOH= 4.18

Replacing in the definition of pOH, the concentration of hydroxide ion is obtained:

- log [OH⁻]= 4.18

Solving:

[OH⁻]= 10⁻⁴ ¹⁸

[OH⁻]= 6.61×10⁻⁵ M

In summary, the hydroxide ion concentration will be 6.61×10⁻⁵ M.

Learn more about pH and pOH:

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