The pH of a solution is given by the formula pH = log 10- in which H+ is the concentration of hydrogen ions in gram atoms per liter. H* True Or False: pH= 5.8 when H = 10-9.4 True False
The pH of a solution is given by the formula pH = log 10- in which H+ is the concentration of hydrogen ions in gram atoms per liter. H* True Or False: pH= 5.8 when H = 10-9.4 True False
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Understanding pH Calculation
The **pH of a solution** is given by the formula:
\[ \text{pH} = \log_{10} \left( \frac{1}{H^+} \right) \]
where \( H^+ \) is the concentration of hydrogen ions in gram atoms per liter.
#### True or False Statement
**Question:** True or False: \( \text{pH} = 5.8 \) when \( H^+ = 10^{-9.4} \)
**Options:**
- ( ) True
- ( ) False
#### Explanation:
To determine the truth of the statement, let’s use the given formula and hydrogen ion concentration. We need to verify if the pH is indeed 5.8 when \( H^+ \) is \( 10^{-9.4} \).
First, substitute \( H^+ = 10^{-9.4} \) into the formula:
\[ \text{pH} = \log_{10} \left( \frac{1}{10^{-9.4}} \right) \]
\[ \text{pH} = \log_{10} \left( 10^{9.4} \right) \]
From the properties of logarithms:
\[ \text{pH} = 9.4 \]
Therefore, the statement "pH = 5.8 when \( H^+ = 10^{-9.4} \)" is **False**. The correct pH value is 9.4.
---
Note: There are no graphs or diagrams to be detailed from the provided image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fa277a9-61db-4d38-9d66-36d0047c8bca%2F632c45af-46fa-4ed1-8cfb-e747f09dcaed%2Fr5iibx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding pH Calculation
The **pH of a solution** is given by the formula:
\[ \text{pH} = \log_{10} \left( \frac{1}{H^+} \right) \]
where \( H^+ \) is the concentration of hydrogen ions in gram atoms per liter.
#### True or False Statement
**Question:** True or False: \( \text{pH} = 5.8 \) when \( H^+ = 10^{-9.4} \)
**Options:**
- ( ) True
- ( ) False
#### Explanation:
To determine the truth of the statement, let’s use the given formula and hydrogen ion concentration. We need to verify if the pH is indeed 5.8 when \( H^+ \) is \( 10^{-9.4} \).
First, substitute \( H^+ = 10^{-9.4} \) into the formula:
\[ \text{pH} = \log_{10} \left( \frac{1}{10^{-9.4}} \right) \]
\[ \text{pH} = \log_{10} \left( 10^{9.4} \right) \]
From the properties of logarithms:
\[ \text{pH} = 9.4 \]
Therefore, the statement "pH = 5.8 when \( H^+ = 10^{-9.4} \)" is **False**. The correct pH value is 9.4.
---
Note: There are no graphs or diagrams to be detailed from the provided image.
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