Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![### Interconverting Pressure and Force
#### Objective:
Calculate the pressure of a gas inside a cylinder using given measurements and force.
#### Scenario:
A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas. The piston is pushed down with a steady force measured to be 6.2 N.
#### Diagram Explanation:
The diagram shows a cylindrical container filled with gas. The cylinder has:
- A piston labeled at the top.
- The gas occupies the interior of the container, labeled accordingly.
- The cylinder itself is labeled as "cylinder."
The dimensions of the cylinder are:
- Width: 3.4 cm
- Height: 4.1 cm
#### Task:
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits.
#### Equation:
Pressure (\(P\)) can be calculated using the formula:
\[ P = \frac{F}{A} \]
where:
- \(P\) is the pressure,
- \(F\) is the force applied,
- \(A\) is the area over which the force is applied.
The cross-sectional area (\(A\)) of the cylinder can be calculated using the formula for the area of a circle:
\[ A = \pi \left(\frac{d}{2}\right)^2 \]
where \(d\) is the diameter.
#### Input Fields:
- An input box for entering the pressure in kPa.
After inputting the value, click on the "Check" button to verify the answer.
#### Additional Resources:
- An "Explanation" button is available to understand the calculation process.
- A "Check" button to validate your answer.
Ensure you round your answer to two significant digits.
##### Note: Practice this process to strengthen your understanding of converting force to pressure in different units.
---
This educational content is designed to help students learn how to interconvert pressure and force using practical examples and clear explanations.](https://content.bartleby.com/qna-images/question/19406573-6a1e-471a-ba9f-f1bcf97fa675/3db6e485-cf18-4eda-8a49-dd4f5fe61f77/718e14.png)
Transcribed Image Text:### Interconverting Pressure and Force
#### Objective:
Calculate the pressure of a gas inside a cylinder using given measurements and force.
#### Scenario:
A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas. The piston is pushed down with a steady force measured to be 6.2 N.
#### Diagram Explanation:
The diagram shows a cylindrical container filled with gas. The cylinder has:
- A piston labeled at the top.
- The gas occupies the interior of the container, labeled accordingly.
- The cylinder itself is labeled as "cylinder."
The dimensions of the cylinder are:
- Width: 3.4 cm
- Height: 4.1 cm
#### Task:
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits.
#### Equation:
Pressure (\(P\)) can be calculated using the formula:
\[ P = \frac{F}{A} \]
where:
- \(P\) is the pressure,
- \(F\) is the force applied,
- \(A\) is the area over which the force is applied.
The cross-sectional area (\(A\)) of the cylinder can be calculated using the formula for the area of a circle:
\[ A = \pi \left(\frac{d}{2}\right)^2 \]
where \(d\) is the diameter.
#### Input Fields:
- An input box for entering the pressure in kPa.
After inputting the value, click on the "Check" button to verify the answer.
#### Additional Resources:
- An "Explanation" button is available to understand the calculation process.
- A "Check" button to validate your answer.
Ensure you round your answer to two significant digits.
##### Note: Practice this process to strengthen your understanding of converting force to pressure in different units.
---
This educational content is designed to help students learn how to interconvert pressure and force using practical examples and clear explanations.
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