A cylinder is filled with 10.0 L of gas and a piston is put into it. The initial pressure of the gas is measured to be 161. kPa. The piston is now pulled up, expanding the gas, until the gas has a final volume of 61.0 L. Calculate the final pressure of the gas. Be sure your answer has the correct number of significant digits. piston do cylinder gas

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...
icon
Related questions
icon
Concept explainers
Question
**Text Transcription for Educational Website**

Title: Calculating the Final Pressure of a Gas in a Cylinder

**Scenario:**

A cylinder is initially filled with 10.0 liters of gas, and a piston is placed inside. The initial pressure of the gas is measured at 161 kPa. The piston is then pulled upwards, expanding the gas until it reaches a final volume of 61.0 liters. Your task is to calculate the final pressure of the gas, ensuring that your answer is expressed with the correct number of significant digits.

**Diagram Explanation:**

- The image illustrates a cylinder containing gas, with a piston placed at the top. 
- The cylinder is labeled to show the internal components:
  - **Gas**: The substance whose pressure and volume changes are being evaluated.
  - **Piston**: The mechanical device used to vary the volume of gas inside the cylinder.
  - **Cylinder**: The container holding the gas and allowing volume variations via the piston movement.

**Instructions:**

- Use the known initial conditions (volume = 10.0 L, pressure = 161 kPa) and final volume (61.0 L) to determine the final pressure.
- Ensure to consider significant figures in your answer.

**Graph/Diagram Interactivity:**

- The interface on the right-hand side offers tools for calculations and graph plotting:
  - A calculator icon for computing numerical values.
  - A graph icon for visualizing data trends.
  - An atomic/molecular view icon for deeper insight into gas properties, if applicable.

This scenario illustrates the principles of gas laws, particularly Boyle's Law, where pressure and volume inversely relate at constant temperature.
Transcribed Image Text:**Text Transcription for Educational Website** Title: Calculating the Final Pressure of a Gas in a Cylinder **Scenario:** A cylinder is initially filled with 10.0 liters of gas, and a piston is placed inside. The initial pressure of the gas is measured at 161 kPa. The piston is then pulled upwards, expanding the gas until it reaches a final volume of 61.0 liters. Your task is to calculate the final pressure of the gas, ensuring that your answer is expressed with the correct number of significant digits. **Diagram Explanation:** - The image illustrates a cylinder containing gas, with a piston placed at the top. - The cylinder is labeled to show the internal components: - **Gas**: The substance whose pressure and volume changes are being evaluated. - **Piston**: The mechanical device used to vary the volume of gas inside the cylinder. - **Cylinder**: The container holding the gas and allowing volume variations via the piston movement. **Instructions:** - Use the known initial conditions (volume = 10.0 L, pressure = 161 kPa) and final volume (61.0 L) to determine the final pressure. - Ensure to consider significant figures in your answer. **Graph/Diagram Interactivity:** - The interface on the right-hand side offers tools for calculations and graph plotting: - A calculator icon for computing numerical values. - A graph icon for visualizing data trends. - An atomic/molecular view icon for deeper insight into gas properties, if applicable. This scenario illustrates the principles of gas laws, particularly Boyle's Law, where pressure and volume inversely relate at constant temperature.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Ideal and Real Gases
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY