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An aqueous solution at 25°C has a OH− concentration of 1.9x10−8M . Calculate the H3O+ concentration. Be sure your answer has the correct number of significant digits.

Respuesta :

Answer:

= 5.26 × 10^-7 M

Explanation:

We know that;

[H3O+][OH-] = 1 x 10^-14

Therefore;

Given; OH− concentration = 1.9x10^−8 M

Then; [H3O+] = (1 x 10^-14)/[OH-]

                      = (1 x 10^-14)/(1.9x10^−8)

                      = 5.26 × 10^-7 M

Taking into account the definition of pH and pOH,  the concentration of H₃O⁺ is 5.25×10⁻⁷ M.

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

In this case, [OH⁻]= 1.9×10⁻⁸ M. Then, the pOH can be calculated as:

pOH= - log (1.9×10⁻⁸ M)

Solving:

  • pOH= 7.72

Now, you can calculated the pH, considering the relationship between pH and pOH:

pOH + pH= 14

7.72 + pH=14

pH=14 - 7.72

  • pH= 6.28

Finally, the concentration of H₃O⁺ can be calculated from the definition of pH:

pH= - log [H₃O⁺]

6.28= - log [H₃O⁺]

[H₃O⁺]= 10⁻⁶ ²⁸

  • [H₃O⁺]= 5.25×10⁻⁷ M

In summary, the concentration of H₃O⁺ is 5.25×10⁻⁷ M.

Learn more about pH and pOH:

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