Considering the definition of pH, the pH of a 6.3×10⁻⁸ M solution of H₃O⁺ is 7.2.
Definition of pH
pH is the Hydrogen Potential. It is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.
Mathematically, pH is calculated as the negative base 10 logarithm of the activity of hydrogen ions:
pH= - log [H⁺]= -log [H₃O⁺]
The numerical scale that measures the pH of substances includes the numbers from 0 to 14. The pH value 7 corresponds to neutral substances. Acidic substances are those with a pH lower than 7, while basic substances have a pH higher than 7.
pH in this case
In this case, you know that [H₃O⁺]= 6.3×10⁻⁸ M. Replacing in the definition of pH:
pH= -log (6.3×10⁻⁸ M)
Solving:
pH=7.2
Finally, the pH of a 6.3×10⁻⁸ M solution of H₃O⁺ is 7.2.
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