Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Boyles law
![**Boyle's Law**
Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas varies inversely with pressure.
Here are some data points relevant to Boyle's Law:
- **V = 100**
- **V = 75**
- **P = 30**
In Boyle's Law, if the volume of a gas decreases, the pressure increases, provided the temperature remains constant. The relationship can be expressed mathematically as:
\[ P1 \times V1 = P2 \times V2 \]
where:
- \( P1 \) and \( P2 \) are the initial and final pressures,
- \( V1 \) and \( V2 \) are the initial and final volumes.
If we were to plot this relationship on a graph:
- The x-axis could represent the volume (V) of the gas,
- The y-axis could represent the pressure (P) of the gas.
The graph would show a curve that slopes downward from left to right, illustrating the inverse relationship between pressure and volume.
### Example Calculation
Given:
- Initial volume \( V1 = 100 \)
- Volume \( V2 = 75 \)
- Pressure \( P2 = 30 \)
We can use the formula to determine the initial pressure \( P1 \).
\[ P1 \times 100 = 30 \times 75 \]
\[ P1 \times 100 = 2250 \]
\[ P1 = \frac{2250}{100} \]
\[ P1 = 22.5 \]
So the initial pressure \( P1 \) is 22.5.
### Application
Understanding Boyle's Law is crucial in fields like chemistry and physics, especially when dealing with gases and their reactions under varying pressures and volumes.
**Graph Explanation:**
- No specific graph is provided in the image, but typical Boyle's Law graphs depict an inversely proportional relationship between pressure (y-axis) and volume (x-axis). As volume decreases, pressure increases, forming a hyperbolic curve.
This topic can be elaborated on with specific examples, graphical representations, and derivations to help students grasp the core principles effectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c7b497-dac7-4855-b923-2e60bbc73063%2F4d922432-d783-4c88-900b-52ec7a192ebe%2Ffl7jqod_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Boyle's Law**
Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas varies inversely with pressure.
Here are some data points relevant to Boyle's Law:
- **V = 100**
- **V = 75**
- **P = 30**
In Boyle's Law, if the volume of a gas decreases, the pressure increases, provided the temperature remains constant. The relationship can be expressed mathematically as:
\[ P1 \times V1 = P2 \times V2 \]
where:
- \( P1 \) and \( P2 \) are the initial and final pressures,
- \( V1 \) and \( V2 \) are the initial and final volumes.
If we were to plot this relationship on a graph:
- The x-axis could represent the volume (V) of the gas,
- The y-axis could represent the pressure (P) of the gas.
The graph would show a curve that slopes downward from left to right, illustrating the inverse relationship between pressure and volume.
### Example Calculation
Given:
- Initial volume \( V1 = 100 \)
- Volume \( V2 = 75 \)
- Pressure \( P2 = 30 \)
We can use the formula to determine the initial pressure \( P1 \).
\[ P1 \times 100 = 30 \times 75 \]
\[ P1 \times 100 = 2250 \]
\[ P1 = \frac{2250}{100} \]
\[ P1 = 22.5 \]
So the initial pressure \( P1 \) is 22.5.
### Application
Understanding Boyle's Law is crucial in fields like chemistry and physics, especially when dealing with gases and their reactions under varying pressures and volumes.
**Graph Explanation:**
- No specific graph is provided in the image, but typical Boyle's Law graphs depict an inversely proportional relationship between pressure (y-axis) and volume (x-axis). As volume decreases, pressure increases, forming a hyperbolic curve.
This topic can be elaborated on with specific examples, graphical representations, and derivations to help students grasp the core principles effectively.
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