Question 2 of 18, Step 1 of 1 Correct The acidity of a water-based solution is defined as pH = -log[H*], where [H*] is the hydrogen ion concentration, measured in moles per liter. Solutions with a pH- value of less than 7 are acidic: solutions with a pH-value of greater than 7 are basic; solutions with a pH-value of 7 (such as pure water) are neutral. Suppose that you test apple juice and find that the hydrogen ion concentration is [H] = 0.00028. Find the pH-value of the juice. Round your answer to the nearest hundredth. Answer Ke Keyboard Sh

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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## Understanding pH and Hydrogen Ion Concentration

In this lesson, we explore how the acidity of a water-based solution is defined using the pH scale. The pH is calculated using the formula:

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

where \([\text{H}^+]\) represents the hydrogen ion concentration, measured in moles per liter. 

### Key Concepts:

- **Acidic Solutions**: Solutions with a pH value of less than 7.
- **Basic Solutions**: Solutions with a pH value greater than 7.
- **Neutral Solutions**: Solutions with a pH value of exactly 7 (e.g., pure water).

### Problem Example:

Suppose you test apple juice and find that the hydrogen ion concentration is \([\text{H}^+] = 0.00028\).

**Task**: Calculate the pH value of the juice and round your answer to the nearest hundredth.

### Answer:

The pH calculation process involves using the formula provided above to determine the acidity level based on the given hydrogen ion concentration. 

(Note: There is no visual graph or diagram in this section; it primarily contains textual information and formulas for calculation.)
Transcribed Image Text:## Understanding pH and Hydrogen Ion Concentration In this lesson, we explore how the acidity of a water-based solution is defined using the pH scale. The pH is calculated using the formula: \[ \text{pH} = -\log [\text{H}^+] \] where \([\text{H}^+]\) represents the hydrogen ion concentration, measured in moles per liter. ### Key Concepts: - **Acidic Solutions**: Solutions with a pH value of less than 7. - **Basic Solutions**: Solutions with a pH value greater than 7. - **Neutral Solutions**: Solutions with a pH value of exactly 7 (e.g., pure water). ### Problem Example: Suppose you test apple juice and find that the hydrogen ion concentration is \([\text{H}^+] = 0.00028\). **Task**: Calculate the pH value of the juice and round your answer to the nearest hundredth. ### Answer: The pH calculation process involves using the formula provided above to determine the acidity level based on the given hydrogen ion concentration. (Note: There is no visual graph or diagram in this section; it primarily contains textual information and formulas for calculation.)
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Logarithm of a number is defined as a quantity representing the power to which a fixed number which is the base of the logarithm must be raised to produce a given number.

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