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Old Oct 18th 2015, 10:32 AM   #1
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Thermodynamic problem

A long, insulated tube (Fig. P4.21) is divided into chambers of equal volume by rigid, adiabatic partitions. Each partition has a fast operating valve to allow flow of gas between compartments when the valve is open. The operation of this device is as follows. Compartment A is initially filled with Helium gas at 300 K and 64 bar. The remaining compartments are evacuated to zero pressure. All valves are closed. At time zero, valve AB is quickly opened and gas flows from A to B. Just when the pressures are equalized in A and B, valve AB is shut and valve BC (between B and C) is opened.
As before, just at the time the pressure in B and C are equal, valve BC is shut and valve CD is opened. This sequence is continued until gas enters the end compartment G. There is no axial heat conduction and no heat conductions across valves or partitions. Helium is an ideal gas with Cp=20, 9 J/mol K.
A. When valve FG has just closed, what are the temperature and the pressure in compartment G?
B. When the sequencing is completed, all valves are opened and the pressure allowed equalizing in all compartments. Slow axial conduction also equalizes the temperature in all compartments. What is the equilibrium temperature and pressure?
This problem comes from B.Reid book (4.21)
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