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Ch.16 - Acid-Base Equilibria
Chapter 16, Problem 28

If a solution is described as basic, which of the following is true: (i) 3H+ < 3OH-, (ii) 3H+ = 3OH-, or (iii) 3H+ > 3OH-?

Verified step by step guidance
1
Understand the concept of a basic solution: A basic solution is one where the concentration of hydroxide ions (OH-) is greater than the concentration of hydrogen ions (H+).
Recall the relationship between H+ and OH- in a neutral solution: In a neutral solution at 25°C, the concentrations of H+ and OH- are equal, each being 1.0 x 10-7 M.
Identify the condition for a basic solution: For a solution to be basic, the concentration of OH- must be greater than that of H+.
Analyze the given expression: The expression '3H+ 3OH-' suggests a comparison between the concentrations of H+ and OH-.
Determine the correct inequality: For the solution to be basic, the correct inequality should be H+ < OH-.

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Acid-Base Theory

Acid-base theory explains the behavior of acids and bases in solution. According to the Brønsted-Lowry theory, acids donate protons (H+) while bases accept protons. In a basic solution, the concentration of hydroxide ions (OH-) exceeds that of hydrogen ions (H+), leading to a higher pH value.
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Bronsted-Lowry Acid-Base Theory

pH Scale

The pH scale measures the acidity or basicity of a solution, ranging from 0 to 14. A pH less than 7 indicates an acidic solution, a pH of 7 is neutral, and a pH greater than 7 indicates a basic solution. The relationship between H+ and OH- concentrations is inversely related to pH, where higher OH- concentrations correspond to higher pH values.
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Ion Concentration Comparison

In a basic solution, the concentration of hydroxide ions (OH-) is greater than that of hydrogen ions (H+). This can be expressed mathematically as [OH-] > [H+]. Therefore, when comparing the quantities of H+ and OH- in a basic solution, the correct relationship is that the number of H+ ions is less than the number of OH- ions, which aligns with the statement 3H+ < 3OH-.
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