A horizontal piston/cylinder arrangement is placed in a constant-temperature bath. The piston slides in the cylinder with negligible friction, and an external force holds it in place against an initial gas pressure of 14 bar. The initial gas volume is 0.03 m. The external force on the piston is reduced gradually, and the gas expands isothermally as its volume doubles. If the volume of the gas is related to its pressure so that the product PV is constant, what is the work done by the gas in moving the external force? How much work would be done if the external force were suddenly reduced to

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Example 2.6
A horizontal piston/cylinder arrangement is placed in a constant-temperature bath.
The piston slides in the cylinder with negligible friction, and an external force holds it
in place against an initial gas pressure of 14 bar. The initial gas volume is 0.03 m'. The
external force on the piston is reduced gradually, and the gas expands isothermally
as its volume doubles. If the volume of the gas is related to its pressure so that the
product PV' is constant, what is the work done by the gas in moving the external
force?
How much work would be done if the external force were suddenly reduced to
half its initial value instead of being gradually reduced?
Transcribed Image Text:Example 2.6 A horizontal piston/cylinder arrangement is placed in a constant-temperature bath. The piston slides in the cylinder with negligible friction, and an external force holds it in place against an initial gas pressure of 14 bar. The initial gas volume is 0.03 m'. The external force on the piston is reduced gradually, and the gas expands isothermally as its volume doubles. If the volume of the gas is related to its pressure so that the product PV' is constant, what is the work done by the gas in moving the external force? How much work would be done if the external force were suddenly reduced to half its initial value instead of being gradually reduced?
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