An ideal monatomic gas is contained in a cylinder with amovable piston so that the gas can do work on the outsideworld, and heat can be added or removed as necessary.(Figure 1) shows various paths that the gas might take inexpanding from an initial state whose pressure, volume, andtemperature are po, Vo, and To respectively. The gasexpands to a state with final volume 4V. For some answersit will be convenient to generalize your results by using thevariable R₂ = Vfinal/Vinitial, which is the ratio of final toinitial volumes (equal to 4 for the expansions shown in thefigure.)The figure shows several possible paths of the system in thepV plane. Although there are an infinite number of pathspossible, several of those shown are special because one oftheir state variables remains constant during the expansion.These have the following names:Adiabatic: No heat is added or removed duringthe expansion.• Isobaric: The pressure remains constant duringthe expansion.●• Isothermal: The temperature remains constantduring the expansion.Figure1.00-0.75-Po 0.50-0.250O1.02.03.0<1 of 1ABC•D4.0Part FCorrectRemember that p = po is not always true. For this particular process, the pressure was constant. Now consider a process in which thetemperature and not the pressure is constant.Calculate the work Wc done by the gas during the isothermal expansion.Express Wcin terms of po, V₁, and R.► View Available Hint(s)Wc =SubmitPart GABWhich of the curves shown represents an adiabatic expansion?► View Available Hint(s)CSubmitΑΣΦPrevious AnswersCorrectXP Pearson?Review | ConstaThe figure shows four pV diagrams in the pV grid labeledA to D. The value on the horizontal axis is the ratio of thevolume to initial volume and the value on the vertical axisis the ratio of the pressure to initial pressure. All diagramsstart at point O having coordinates (1.0, 1.0). Line OA is ahorizontal line, coordinates of point A is (4.0, 1.0). LineOB is concave upward decreasing line that is above OCand OD, point B have coordinates are approximately (4.0,0.6). Line OC is a hyperbola, coordinates of point C of(4.0, 0.25). Line OD is concave upward decreasing linethat is below all other lines, point D have coordinates ofapproximately (4.0, 0.15).

Given: We have to find work done in process C and which process is adiabatic.

An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po. Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₂ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the PV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: • Adiabatic: No heat is added or removed during the expansion. • Isobaric: The pressure remains constant during the expansion. • Isothermal: The temperature remains constant during the expansion.

An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po. Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₂ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the PV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: • Adiabatic: No heat is added or removed during the expansion. • Isobaric: The pressure remains constant during the expansion. • Isothermal: The temperature remains constant during the expansion.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 75P: A dilute gas expands quasi-statically to three times its initial volume. Is the final gas pressure...

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An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside world, and heat can be added or removed as necessary. (Figure 1) shows various paths that the gas might take in expanding from an initial state whose pressure, volume, and temperature are po, Vo, and To respectively. The gas expands to a state with final volume 4V. For some answers it will be convenient to generalize your results by using the variable R₂ = Vfinal/Vinitial, which is the ratio of final to initial volumes (equal to 4 for the expansions shown in the figure.) The figure shows several possible paths of the system in the pV plane. Although there are an infinite number of paths possible, several of those shown are special because one of their state variables remains constant during the expansion. These have the following names: Adiabatic: No heat is added or removed during the expansion. ● Isobaric: The pressure remains constant during the expansion. ● •…
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