Consider 1.00 mole of a monoatomic ideal gas that initially occupies 1.00 L at 2.00 bar, and eventually ends up occupying 0.30 L at 5.00 bar. Consider two different paths: i. 2-step: do a reversible isothermal process, followed by a reversible adiabatic process. ii. 2-step: in the first step, the pressure is fixed, and the volume is fixed in the second step. (a) (4 points) Draw the P-V diagram that illustrates the steps in both paths, label the pressure, volume, and temperature at each step of each path. (b) (3 points) Which of the two paths requires more work (numerical answer)? Why does one path require more work? (c) (3 points) Calculate ? and Δ? for each of the steps in each path.
Consider 1.00 mole of a monoatomic ideal gas that initially occupies 1.00 L at 2.00 bar, and eventually ends up occupying 0.30 L at 5.00 bar. Consider two different paths: i. 2-step: do a reversible isothermal process, followed by a reversible adiabatic process. ii. 2-step: in the first step, the pressure is fixed, and the volume is fixed in the second step. (a) (4 points) Draw the P-V diagram that illustrates the steps in both paths, label the pressure, volume, and temperature at each step of each path. (b) (3 points) Which of the two paths requires more work (numerical answer)? Why does one path require more work? (c) (3 points) Calculate ? and Δ? for each of the steps in each path.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 48P: An ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle....
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Consider 1.00 mole of a monoatomic ideal gas that initially occupies 1.00 L at 2.00 bar,
and eventually ends up occupying 0.30 L at 5.00 bar. Consider two different paths:
i. 2-step: do a reversible isothermal process, followed by a reversible adiabatic process.
ii. 2-step: in the first step, the pressure is fixed, and the volume is fixed in the second step.
(a) (4 points) Draw the P-V diagram that illustrates the steps in both paths, label the
pressure, volume, and temperature at each step of each path.
(b) (3 points) Which of the two paths requires more work (numerical answer)? Why does
one path require more work?
(c) (3 points) Calculate ? and Δ? for each of the steps in each path.
and eventually ends up occupying 0.30 L at 5.00 bar. Consider two different paths:
i. 2-step: do a reversible isothermal process, followed by a reversible adiabatic process.
ii. 2-step: in the first step, the pressure is fixed, and the volume is fixed in the second step.
(a) (4 points) Draw the P-V diagram that illustrates the steps in both paths, label the
pressure, volume, and temperature at each step of each path.
(b) (3 points) Which of the two paths requires more work (numerical answer)? Why does
one path require more work?
(c) (3 points) Calculate ? and Δ? for each of the steps in each path.
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