The isothermal compressibility, ß, is given by Equation 4 below where Vm is molar volume. Derive an equation for ß starting from Equation 2 iii. -1(dv, B= (4) Vm OP T iv. Using the result from part (iii), explain how the isothermal compressibility for an ideal gas is different to that predicted from the virial equation of state, Equation 2
The isothermal compressibility, ß, is given by Equation 4 below where Vm is molar volume. Derive an equation for ß starting from Equation 2 iii. -1(dv, B= (4) Vm OP T iv. Using the result from part (iii), explain how the isothermal compressibility for an ideal gas is different to that predicted from the virial equation of state, Equation 2
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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Question iii & iv?
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The virial equation of state for a gas, including the first two terms, can be
written as Equation 2 below where p is the gas pressure, T is the absolute
temperature, R is the molar ideal gas constant and B is the second virial
coefficient. Remember that the second virial coefficient B only depends on
temperature.
Вр
Z = 1+
(2)
RT
Write down an equation for the compressibility factor Z and say what
the terms in the equation are.
i.
The coefficient of cubic expansion, a, is defined by Equation 3 below
where vm is molar volume. Derive an equation for o. starting from
ii.
Equation 2
1 (dv,
Vm
The isothermal compressibility, B, is given by Equation 4 below where
Vm is molar volume. Derive an equation for ß starting from Equation 2
iii.
-1/ðv,,
B =
(4)
iv. Using the result from part (iii), explain how the isothermal
compressibility for an ideal gas is different to that predicted from the
virial equation of state, Equation 2
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