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2.23 Suppose the system of Prob. 2.22 is initially in equilib- rium with P= 1.000 bar and V= 2.00 dm³. The external mass m is instantaneously reduced by 50% and held fixed thereafter, so that Pex remains at 0.500 bar during the expansion. After un- dergoing oscillations, the piston eventually comes to rest. The final system volume is 6.00 dm³. Calculate wirev-

2.23 Suppose the system of Prob. 2.22 is initially in equilib- rium with P= 1.000 bar and V= 2.00 dm³. The external mass m is instantaneously reduced by 50% and held fixed thereafter, so that Pex remains at 0.500 bar during the expansion. After un- dergoing oscillations, the piston eventually comes to rest. The final system volume is 6.00 dm³. Calculate wirev-

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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2.22 Consider a system enclosed in a vertical cylinder fitted with a frictionless piston. The piston is a plate of negligible mass, on which is glued a mass m whose cross-sectional area is the same as that of the plate. Above the piston is a vacuum. (a) Use conservation of energy in the form dE to show that for an adiabatic volume change dEvs + dE syst surr "syst -mg dh where dh is the infinitesimal change in piston height, gis dKpist the gravitational acceleration, and dKist change in kinetic energy of the mass m. (b) Show that the equa- tion in part (a) gives dwrev versible work done on the system, where Pext is the pressure exerted by the mass m on the piston plate. is the infinitesimal -Poxt dV – dKist for the irre- 2.23 Suppose the system of Prob. 2.22 is initially in equilib- rium with P = 1.000 bar and V= 2.00 dm³. The external mass m is instantaneously reduced by 50% and held fixed thereafter, so that Pext remains at 0.500 bar during the expansion. After un- dergoing oscillations, the piston eventually comes to rest. The final system volume is 6.00 dm³. Calculate wrrey
Transcribed Image Text:2.22 Consider a system enclosed in a vertical cylinder fitted with a frictionless piston. The piston is a plate of negligible mass, on which is glued a mass m whose cross-sectional area is the same as that of the plate. Above the piston is a vacuum. (a) Use conservation of energy in the form dE to show that for an adiabatic volume change dEvs + dE syst surr "syst -mg dh where dh is the infinitesimal change in piston height, gis dKpist the gravitational acceleration, and dKist change in kinetic energy of the mass m. (b) Show that the equa- tion in part (a) gives dwrev versible work done on the system, where Pext is the pressure exerted by the mass m on the piston plate. is the infinitesimal -Poxt dV – dKist for the irre- 2.23 Suppose the system of Prob. 2.22 is initially in equilib- rium with P = 1.000 bar and V= 2.00 dm³. The external mass m is instantaneously reduced by 50% and held fixed thereafter, so that Pext remains at 0.500 bar during the expansion. After un- dergoing oscillations, the piston eventually comes to rest. The final system volume is 6.00 dm³. Calculate wrrey
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