12. Sketch in a graph how the pressure of an ideal gas (P, vertical coordinate) depends on its number of moles (n, horizontal coordinate), at constant T and V. Label and indicate zeros on both axes:

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
### Ideal Gas Pressure vs. Number of Moles

**Problem Statement:**

Sketch a graph to illustrate how the pressure of an ideal gas (\(P\), vertical axis) depends on the number of moles (\(n\), horizontal axis) while maintaining constant temperature (\(T\)) and volume (\(V\)).

**Instructions:**
- Label the axes clearly.
- Indicate zeros on both axes.

**Explanation:**

In this graph, you will plot the relationship between the pressure (\(P\)) and the number of moles (\(n\)) of an ideal gas. According to the ideal gas law (\(PV = nRT\)), at constant temperature and volume, the pressure is directly proportional to the number of moles. As such, the graph is a straight line passing through the origin (0,0), where:
- The vertical axis represents the pressure \(P\).
- The horizontal axis represents the number of moles \(n\).

The slope of this line corresponds to the value of \( \frac{RT}{V} \), reinforcing the direct proportionality of pressure with the number of moles.
Transcribed Image Text:### Ideal Gas Pressure vs. Number of Moles **Problem Statement:** Sketch a graph to illustrate how the pressure of an ideal gas (\(P\), vertical axis) depends on the number of moles (\(n\), horizontal axis) while maintaining constant temperature (\(T\)) and volume (\(V\)). **Instructions:** - Label the axes clearly. - Indicate zeros on both axes. **Explanation:** In this graph, you will plot the relationship between the pressure (\(P\)) and the number of moles (\(n\)) of an ideal gas. According to the ideal gas law (\(PV = nRT\)), at constant temperature and volume, the pressure is directly proportional to the number of moles. As such, the graph is a straight line passing through the origin (0,0), where: - The vertical axis represents the pressure \(P\). - The horizontal axis represents the number of moles \(n\). The slope of this line corresponds to the value of \( \frac{RT}{V} \), reinforcing the direct proportionality of pressure with the number of moles.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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.
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