Consider a well-insulated horizontal rigid cylinder that is divided into two compartments by a piston that is free to move, but does not allow either gas to leak into the other side. Initially, one side of the piston contains 1 m3 of N2 gas at 500 kPa and 120°C while the other side contains 1 m3 of He gas at 500 kPa and 40°C. Now thermal equilibrium is established in the cylinder as a result of heat transfer through the piston. Using constant specific heats at room temperature, determine the final equilibrium temperature in the cylinder. What would your answer be if the piston were not free to move?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 21.75CP: A cylinder is closed at both ends and has insulating EZZ3 walls. It is divided into two compartments...
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Consider a well-insulated horizontal rigid cylinder
that is divided into two compartments by a piston that is
free to move, but does not allow either gas to leak into the
other side. Initially, one side of the piston contains 1 m3 of
N2 gas at 500 kPa and 120°C while the other side contains
1 m3 of He gas at 500 kPa and 40°C. Now thermal equilibrium
is established in the cylinder as a result of heat transfer
through the piston. Using constant specific heats at room
temperature, determine the final equilibrium temperature in
the cylinder. What would your answer be if the piston were
not free to move?

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