Methane in a piston-cylinder assembly undergoes an adiabatic compression from an initial state (0.5 bar, 0.05 m³/mol) to a final state (10 bar. 3x10-3 m³/mol). Use the van der Waals equation of
Methane in a piston-cylinder assembly undergoes an adiabatic compression from an initial state (0.5 bar, 0.05 m³/mol) to a final state (10 bar. 3x10-3 m³/mol). Use the van der Waals equation of
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
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Methane in a piston-cylinder assembly undergoes an adiabatic
compression from an initial state (0.5 bar, 0.05 m³/mol) to a final
state (10 bar, 3×10-³ m³/mol). Use the van der Waals equation of
state to calculate the amount of work done on the system, in J/mol.
Note that if ideal gas, the heat capacity of methane is given by
Cp = 1.702 +9.081 × 10-³ T-2.164 x 10-6 T², where T is in K.
R
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Step 1: First Law of Thermodynamics for the given system
VIEWStep 2: The equation for the internal energy change of Vander Waals gas for the adiabatic process
VIEWStep 3: Equation for the Work done on the Vander Waals gas( Compression work)
VIEWStep 4: Equation for the constant volume heat capacity (Cv)
VIEWStep 5: The initial and final temperatures of the Vander Waals gas
VIEWStep 6: The termperature term
VIEWStep 7: The volume term
VIEWStep 8: Compression work
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