**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,\[ \frac{pV}{T} = \text{constant} \]**Figure Descriptions:**The graph is a pV diagram featuring a cycle with points labeled 1 through 6:- **X-axis:** Represents volume \( V \) with markers at \( V_0 \), \( 2V_0 \), and \( 3V_0 \).- **Y-axis:** Represents pressure \( p \) with markers at \( p_0 \), \( 2p_0 \), and \( 3p_0 \).The cycle follows a sequence through points 1 to 6:- Starts at (3\( V_0 \), \( p_0 \))- Moves to (3\( V_0 \), 3\( p_0 \)) – horizontal line- Drops down to (2\( V_0 \), 3\( p_0 \)) – vertical line- Continues to (2\( V_0 \), 2\( p_0 \)) – horizontal line- Moves down again to \( V_0 \)- Ends at the starting point \( V_0 \), \( p_0 \) – completing the cycle.**Explanation:**The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective signs.**Part F:**Calculate the work \( W \) done by the gas during process \( 1 \rightarrow 2 \rightarrow 6 \rightarrow 5 \rightarrow 1 \).

Answered: Image /qna-images/answer/be6c2407-6d96-4cf8-a56b-121ad4001a70.jpg

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, Figure 3po 2po Po pV = constant T Vo 4 65 2V 3V < 1 of 1 V The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective signs. ▼ Part F Correct No work is done during a process, if the gas does not experience a change in volume. Calculate the work W done by the gas during process 1-2 →65 →1. Express your answer in terms of po and Vo. [ΫΠΙ ΑΣΦ W = Submit Request Answer Part G 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, Figure 3po 2po Po pV = constant T Vo 4 65 2V 3V < 1 of 1 V The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective signs. ▼ Part F Correct No work is done during a process, if the gas does not experience a change in volume. Calculate the work W done by the gas during process 1-2 →65 →1. Express your answer in terms of po and Vo. [ΫΠΙ ΑΣΦ W = Submit Request Answer Part G Complete previous part(s) ?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 76PQ

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