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A solution with a pH of 5 is ________ times more acidic than a solution with a \(\mathrm{pH}\) of \(7 .\) (A) 1\(/ 10\) (B) 1\(/ 100\) (C) 10 (D) 100 (E) \(1,000\)

Short Answer

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Step by step solution

01

Understand the pH Scale

The pH scale is a logarithmic scale used to specify the acidity or basicity of an aqueous solution. Each pH unit represents a tenfold difference in acidity or basicity. This means a solution with a pH of 6 is ten times more acidic than a solution with a pH of 7.
02

Calculate the pH Difference

Find the difference in the pH values: a solution with pH 5 and a solution with pH 7 have a difference of 2 pH units.
03

Determine the Acidity Factor

Since each pH unit represents a tenfold difference, a two-unit difference on the pH scale (from pH 7 to pH 5) means the solution at pH 5 is \( 10^2 = 100 \) times more acidic than the solution at pH 7.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Logarithmic Scale
The pH scale is a classic example of a logarithmic scale, which is a powerful way to express and analyze data. On a logarithmic scale, each step or unit represents a tenfold increase or decrease. This means that as you move from one pH level to another, each unit change reflects a significant change in acidity or basicity. For example, a change from pH 7 to pH 6 means the solution is ten times more acidic. Similarly, moving from pH 7 to pH 5 means the acidity has increased by a factor of 100 because you multiply 10 (for the first unit) by another 10 (for the second unit). Logarithmic scales are essential in various scientific measurements because they help manage the wide range of values that can occur, making them easier to understand and compare.
Exploring Acidity in Solutions
Acidity refers to the concentration of hydrogen ions (H+) in a solution. The more hydrogen ions present, the more acidic the solution is. On the pH scale, which ranges from 0 to 14:
  • 0 to below 7 is considered acidic.
  • A pH of 7 is neutral.
  • Below pH 7 indicates increasing acidity.
When a solution has a pH of 5, it is significantly more acidic than a solution with a pH of 7. As explained earlier using the logarithmic scale concept, the solution with pH 5 is 100 times more acidic than one with pH 7. Understanding acidity is crucial in various fields, from biology and chemistry to environmental science.
Explaining Basicity in Context
Just as acidity deals with hydrogen ions, basicity is concerned with the concentration of hydroxide ions (OH-) in a solution. A basic solution has more hydroxide ions, and the pH scale measures this with values above 7.
  • A pH of 7 is neutral, as it indicates an equal concentration of hydrogen ions and hydroxide ions.
  • At pH values above 7, solutions are increasingly basic (also called alkaline).
Basicity and acidity together describe the full range of the pH scale, allowing scientists and students to categorize solutions effectively. It's fundamental in understanding chemical reactions, especially those involving acids and bases, which are integral to numerous laboratory and industrial processes.
The Role of Aqueous Solutions
An aqueous solution is simply a solution where water is the solvent. Because water is so effective at dissolving many substances, it plays a crucial role in chemistry. This is particularly important in the context of pH because it describes the acidity or basicity of aqueous solutions. Water naturally dissociates into hydrogen ions (H+) and hydroxide ions (OH-), which establishes a baseline for neutral solutions at a pH of 7. When acids are added, they increase the concentration of hydrogen ions, decreasing the pH. Conversely, bases increase the concentration of hydroxide ions, raising the pH. Understanding aqueous solutions and their properties is essential not only in labs but also in real-world applications, like environmental science, medicine, and agriculture, where the pH of water sources can significantly influence ecological and biological systems.

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