3. The van der Waals equation of state, an approximate representation of the behavior of gases at high pressure, is given by the equation: (p+)v – nb) = nRT where a and b are constants having different values for different gases. (In the special case of a =b = 0, this is the ideal gas equation.) (a) Calculate the work done by a gas with this equation of state in an isothermal expansion from Vi to V2. (b) For ethane gas (C2H«), ɑ = 0.554 J m³/mok and b = 6.38 x 105 m³/mol. Calculate the work W done by 1.80 mol of ethane when it expands from 2.00 x 103 m³ to 4.00 x 103 m³ ata constant temperature 300 K. Do the calculation using (i) the van der Waals equation of state and (ii) the ideal-gas equation of state.
3. The van der Waals equation of state, an approximate representation of the behavior of gases at high pressure, is given by the equation: (p+)v – nb) = nRT where a and b are constants having different values for different gases. (In the special case of a =b = 0, this is the ideal gas equation.) (a) Calculate the work done by a gas with this equation of state in an isothermal expansion from Vi to V2. (b) For ethane gas (C2H«), ɑ = 0.554 J m³/mok and b = 6.38 x 105 m³/mol. Calculate the work W done by 1.80 mol of ethane when it expands from 2.00 x 103 m³ to 4.00 x 103 m³ ata constant temperature 300 K. Do the calculation using (i) the van der Waals equation of state and (ii) the ideal-gas equation of state.
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:3. The van der Waals equation of state, an approximate representation of the behavior of
gases at high pressure, is given by the equation:
)(v – nb) = nRT
|(V-
where a and b are constants having different values for different gases. (In the special case
of a = b = 0, this is the ideal gas equation.)
(a) Calculate the work done by a gas with this equation of state in an isothermal expansion
from Vi to V2.
(b) For ethane gas (C2Hs), a = 0.554 J m³/mok and b = 6.38 x 105 m³/mol. Calculate the work
W done by 1.80 mol of ethane when it expands from 2.00 x 103 m³ to 4.00 x 103 m³ at a
constant temperature 300 K. Do the calculation using (i) the van der Waals equation of state
and (i) the ideal-gas equation of state.
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