The pH of a basic solution is 10.89. What is [H*]?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Understanding pH and Hydrogen Ion Concentration

The pH of a basic solution is 10.89. What is \([\text{H}^+]\)? 

#### Explanation:

The pH scale is used to specify the acidity or basicity of an aqueous solution. pH is defined as the negative logarithm of the hydrogen ion concentration \([\text{H}^+]\).

\[ \text{pH} = -\log [\text{H}^+] \]

To find the hydrogen ion concentration \([\text{H}^+]\) from a given pH:

1. Rearrange the pH equation to solve for \([\text{H}^+]\):

\[ [\text{H}^+] = 10^{-\text{pH}} \]

2. Substitute the given pH value into the equation:

\[ [\text{H}^+] = 10^{-10.89} \]

3. Use a calculator to find the numerical value:

\[ [\text{H}^+] ≈ 1.29 \times 10^{-11} \]

So, the hydrogen ion concentration \([\text{H}^+]\) in the solution is approximately \(1.29 \times 10^{-11}\) M (moles per liter). 

This low concentration of hydrogen ions confirms that the solution is indeed basic, as it has a pH greater than 7.
Transcribed Image Text:### Understanding pH and Hydrogen Ion Concentration The pH of a basic solution is 10.89. What is \([\text{H}^+]\)? #### Explanation: The pH scale is used to specify the acidity or basicity of an aqueous solution. pH is defined as the negative logarithm of the hydrogen ion concentration \([\text{H}^+]\). \[ \text{pH} = -\log [\text{H}^+] \] To find the hydrogen ion concentration \([\text{H}^+]\) from a given pH: 1. Rearrange the pH equation to solve for \([\text{H}^+]\): \[ [\text{H}^+] = 10^{-\text{pH}} \] 2. Substitute the given pH value into the equation: \[ [\text{H}^+] = 10^{-10.89} \] 3. Use a calculator to find the numerical value: \[ [\text{H}^+] ≈ 1.29 \times 10^{-11} \] So, the hydrogen ion concentration \([\text{H}^+]\) in the solution is approximately \(1.29 \times 10^{-11}\) M (moles per liter). This low concentration of hydrogen ions confirms that the solution is indeed basic, as it has a pH greater than 7.
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