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Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas 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, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, pV = constant. Τ One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you will be asked a series of questions related to different processes shown on a pV diagram ( Figure 1). They will help you become familiar with such diagrams and to understand what information may be obtained from them. Part A Calculate the work W done by the gas during process 1→2. Express your answer in terms of po and Vo. W = 6po Vo Submit Previous Answers Part B Correct Calculate the work W done by the gas during process 2→1. Express your answer in terms of po and Vo. W = -6po Vo Submit Correct Previous Answers Compare your result with that from part A. The work WAB done during a process A→B is equal to -WBA, the work done during the reverse process B→A. Part C Calculate the work W done by the gas during process 5→6. Express your answer in terms of po and Vo. W = Figure 1 of 1 Зро 20 Π ΑΣΦ Submit Request Answer Part D Complete previous part(s) Part F. Complete previous part(s) ?

Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas 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, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, pV = constant. Τ One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you will be asked a series of questions related to different processes shown on a pV diagram ( Figure 1). They will help you become familiar with such diagrams and to understand what information may be obtained from them. Part A Calculate the work W done by the gas during process 1→2. Express your answer in terms of po and Vo. W = 6po Vo Submit Previous Answers Part B Correct Calculate the work W done by the gas during process 2→1. Express your answer in terms of po and Vo. W = -6po Vo Submit Correct Previous Answers Compare your result with that from part A. The work WAB done during a process A→B is equal to -WBA, the work done during the reverse process B→A. Part C Calculate the work W done by the gas during process 5→6. Express your answer in terms of po and Vo. W = Figure 1 of 1 Зро 20 Π ΑΣΦ Submit Request Answer Part D Complete previous part(s) Part F. Complete previous part(s) ?

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter13: Temperature, Kinetic Theory, And The Gas Laws
Section: Chapter Questions
Problem 27PE: In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is...
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Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas 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, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, pV = constant. Τ One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you will be asked a series of questions related to different processes shown on a pV diagram ( Figure 1). They will help you become familiar with such diagrams and to understand what information may be obtained from them. Part A Calculate the work W done by the gas during process 1→2. Express your answer in terms of po and Vo. W = 6po Vo Submit Previous Answers Part B Correct Calculate the work W done by the gas during process 2→1. Express your answer in terms of po and Vo. W = -6po Vo Submit Correct Previous Answers Compare your result with that from part A. The work WAB done during a process A→B is equal to -WBA, the work done during the reverse process B→A. Part C Calculate the work W done by the gas during process 5→6. Express your answer in terms of po and Vo. W = Figure 1 of 1 Зро 20 Π ΑΣΦ Submit Request Answer Part D Complete previous part(s) Part F. Complete previous part(s) ?
Transcribed Image Text:Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas 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, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, pV = constant. Τ One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you will be asked a series of questions related to different processes shown on a pV diagram ( Figure 1). They will help you become familiar with such diagrams and to understand what information may be obtained from them. Part A Calculate the work W done by the gas during process 1→2. Express your answer in terms of po and Vo. W = 6po Vo Submit Previous Answers Part B Correct Calculate the work W done by the gas during process 2→1. Express your answer in terms of po and Vo. W = -6po Vo Submit Correct Previous Answers Compare your result with that from part A. The work WAB done during a process A→B is equal to -WBA, the work done during the reverse process B→A. Part C Calculate the work W done by the gas during process 5→6. Express your answer in terms of po and Vo. W = Figure 1 of 1 Зро 20 Π ΑΣΦ Submit Request Answer Part D Complete previous part(s) Part F. Complete previous part(s) ?
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