rams is e more gas ture are ▾ Part B Calculate the work W done by the gas during process 2-1. Express your answer in terms of po and Vo. W = -6poVo Submit Previous Answers ✓ Correct Compare your result with that from part A. The work WAB done duri Part C Calculate the work W done by the gas during process 5-6, Express your answer in terms of po and Vo.
rams is e more gas ture are ▾ Part B Calculate the work W done by the gas during process 2-1. Express your answer in terms of po and Vo. W = -6poVo Submit Previous Answers ✓ Correct Compare your result with that from part A. The work WAB done duri Part C Calculate the work W done by the gas during process 5-6, Express your answer in terms of po and Vo.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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what is the solution to part c only
![**Educational Content: Understanding p/V Diagrams for Ideal Gases**
**Learning Goal:**
The objective is to comprehend the meaning and basic applications of pressure-volume (p/V) diagrams for an ideal gas.
**Theory:**
For an ideal gas, the parameters are described by the equation:
\[ pV = nRT \]
Where:
- \( p \) is the pressure of the gas.
- \( V \) is the volume of the gas.
- \( n \) is the number of moles.
- \( R \) is the universal gas constant.
- \( T \) is the absolute temperature of the gas.
For a specific portion of an ideal gas, the relationship can be expressed as:
\[ \frac{pV}{T} = \text{constant} \]
This implies that if the quantity of gas remains constant, changing one parameter (such as pressure or volume) will necessitate changes in at least one other parameter to maintain the equation's balance.
**Exploring Changes:**
To practically explore these changes, it's effective to graph one parameter as a function of another—commonly, pressure as a function of volume on a p/V diagram.
**Problem Context:**
This educational task involves answering a series of questions about different gas processes shown on a p/V diagram.
**p/V Diagram (Figure 1 Explanation):**
- The graph plots pressure (\( p \)) against volume (\( V \)).
- The x-axis represents Volume, marked at intervals \( V_0 \), \( 2V_0 \), \( 3V_0 \), and \( 4V_0 \).
- The y-axis represents Pressure, labeled \( p_0 \), \( 2p_0 \), and \( 3p_0 \).
- The diagram includes a blue curve illustrating a thermodynamic process.
### Detailed Tasks:
**Part B:**
- *Objective:* Calculate the work (\( W \)) done by the gas during process 2→1.
- *Expression:* \( W = -6p_0V_0 \)
- A comparison is made that shows \( W_{AB} \) (work done from A→B) is equal but opposite to \( W_{BA} \) (work done from B→A).
**Part C:**
- *Objective:* Calculate the work (\( W \)) done by the gas during process 5→6.
- *Task:*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d048756-cb3c-4a66-972f-914bd1ae9336%2F99e080b0-05dd-4f1f-9afc-52ffd3e0b8d3%2F6fgsiiq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Understanding p/V Diagrams for Ideal Gases**
**Learning Goal:**
The objective is to comprehend the meaning and basic applications of pressure-volume (p/V) diagrams for an ideal gas.
**Theory:**
For an ideal gas, the parameters are described by the equation:
\[ pV = nRT \]
Where:
- \( p \) is the pressure of the gas.
- \( V \) is the volume of the gas.
- \( n \) is the number of moles.
- \( R \) is the universal gas constant.
- \( T \) is the absolute temperature of the gas.
For a specific portion of an ideal gas, the relationship can be expressed as:
\[ \frac{pV}{T} = \text{constant} \]
This implies that if the quantity of gas remains constant, changing one parameter (such as pressure or volume) will necessitate changes in at least one other parameter to maintain the equation's balance.
**Exploring Changes:**
To practically explore these changes, it's effective to graph one parameter as a function of another—commonly, pressure as a function of volume on a p/V diagram.
**Problem Context:**
This educational task involves answering a series of questions about different gas processes shown on a p/V diagram.
**p/V Diagram (Figure 1 Explanation):**
- The graph plots pressure (\( p \)) against volume (\( V \)).
- The x-axis represents Volume, marked at intervals \( V_0 \), \( 2V_0 \), \( 3V_0 \), and \( 4V_0 \).
- The y-axis represents Pressure, labeled \( p_0 \), \( 2p_0 \), and \( 3p_0 \).
- The diagram includes a blue curve illustrating a thermodynamic process.
### Detailed Tasks:
**Part B:**
- *Objective:* Calculate the work (\( W \)) done by the gas during process 2→1.
- *Expression:* \( W = -6p_0V_0 \)
- A comparison is made that shows \( W_{AB} \) (work done from A→B) is equal but opposite to \( W_{BA} \) (work done from B→A).
**Part C:**
- *Objective:* Calculate the work (\( W \)) done by the gas during process 5→6.
- *Task:*
Expert Solution
Step 1
Given
At point 1,
Pressure, P1 = 3Po
Volume, V1 = Vo
At point 2,
Pressure, P1 = 3Po
Volume, V2 = 3 Vo
At point 5,
Pressure, P = Po
Volume, V1 = Vo
At point 6,
Pressure, P = Po
Volume, V2 = 3 Vo
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