The pH of a solution is 3.95. What is the OH¯ concentration in the solution?

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**pH Calculation for Hydroxide Ion Concentration**

*Question 30 of 44*

The pH of a solution is 3.95. What is the OH⁻ concentration in the solution?

*Interface Overview*

The interface provided contains a digital calculation pad which includes the following keys:

- Number keys (0-9)
- A decimal point (.)
- A +/- key for changing the sign
- An 'x 10⁰' button for scientific notation
- A backspace key (⟵)
- A clear button (C)
- A 'M' symbol for inputting values (likely referring to molarity or concentration in moles per liter)
- A submit button at the top right corner

*Introduction to pH and OH⁻ Concentration Calculations*

pH is a measure of the acidity or basicity of an aqueous solution. It is calculated as the negative logarithm of the hydrogen ion concentration:

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

The relationship between pH and pOH (the measure of hydroxide ion concentration) in any aqueous solution at 25°C is given by the equation:

\[ \text{pH} + \text{pOH} = 14 \]

To find the hydroxide ion concentration \([ \text{OH}^- ]\), follow these steps:

1. Calculate the pOH:
   \[ \text{pOH} = 14 - \text{pH} \]
   \[ \text{pOH} = 14 - 3.95 = 10.05 \]

2. Use the pOH to find the hydroxide ion concentration:
   \[ [\text{OH}^-] = 10^{-\text{pOH}} \]
   \[ [\text{OH}^-] = 10^{-10.05} \]

Using a calculator, this will yield:
\[ [\text{OH}^-] \approx 8.91 \times 10^{-11} \text{M} \]

*Summary*

Given a solution with a pH of 3.95, the concentration of hydroxide ions (OH⁻) in the solution can be calculated to be approximately \( 8.91 \times 10^{-11} \) M.
Transcribed Image Text:**pH Calculation for Hydroxide Ion Concentration** *Question 30 of 44* The pH of a solution is 3.95. What is the OH⁻ concentration in the solution? *Interface Overview* The interface provided contains a digital calculation pad which includes the following keys: - Number keys (0-9) - A decimal point (.) - A +/- key for changing the sign - An 'x 10⁰' button for scientific notation - A backspace key (⟵) - A clear button (C) - A 'M' symbol for inputting values (likely referring to molarity or concentration in moles per liter) - A submit button at the top right corner *Introduction to pH and OH⁻ Concentration Calculations* pH is a measure of the acidity or basicity of an aqueous solution. It is calculated as the negative logarithm of the hydrogen ion concentration: \[ \text{pH} = -\log [\text{H}^+] \] The relationship between pH and pOH (the measure of hydroxide ion concentration) in any aqueous solution at 25°C is given by the equation: \[ \text{pH} + \text{pOH} = 14 \] To find the hydroxide ion concentration \([ \text{OH}^- ]\), follow these steps: 1. Calculate the pOH: \[ \text{pOH} = 14 - \text{pH} \] \[ \text{pOH} = 14 - 3.95 = 10.05 \] 2. Use the pOH to find the hydroxide ion concentration: \[ [\text{OH}^-] = 10^{-\text{pOH}} \] \[ [\text{OH}^-] = 10^{-10.05} \] Using a calculator, this will yield: \[ [\text{OH}^-] \approx 8.91 \times 10^{-11} \text{M} \] *Summary* Given a solution with a pH of 3.95, the concentration of hydroxide ions (OH⁻) in the solution can be calculated to be approximately \( 8.91 \times 10^{-11} \) M.
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