11.10. The van der Waals equation of state is P = KBT/(vb) - a/v², where a and b are constants. This equation describes both a liquid and vapor phase, and therefore produces a vapor-liquid phase envelope. ww.cambridge.org/core. UCL, Institute of Education, on 11 Jan 2017 at 04:40:34, subject to the Cambridge Core terms of use, available at /core/terms. http://dx.doi.org/10.1017/CBO9781139028875.013 Stability (a) At constant temperature, there is a single equilibrium P, vº, and v¹. Write three algebraic equations that can be solved simultaneously to give these values for a given T. (b) Write an equation that can be solved to determine the spinodal volume, spin Explain how the resultant equation can give both G,spin and spin (c) Find the critical temperature Te, volume ve, and pressure Pe in terms of the constants a and b.

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
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11.10. The van der Waals equation of state is P = KBT/(v - b) - a/v², where a and b are
constants. This equation describes both a liquid and vapor phase, and therefore
produces a vapor-liquid phase envelope.
ps:/www.cambridge.org/core. UCL, Institute of Education, on 11 Jan 2017 at 04:40:34, subject to the Cambridge Core terms of use, available at
e.org/core/terms. http://dx.doi.org/10.1017/CBO9781139028875.013
Stability
(a) At constant temperature, there is a single equilibrium P, vº, and v¹. Write
three algebraic equations that can be solved simultaneously to give these
values for a given T.
(b) Write an equation that can be solved to determine the spinodal
volume, spin Explain how the resultant equation can give both G,spin
and spin
(c) Find the critical temperature To, volume vc, and pressure Pe in terms of the
constants a and b.
Transcribed Image Text:11.10. The van der Waals equation of state is P = KBT/(v - b) - a/v², where a and b are constants. This equation describes both a liquid and vapor phase, and therefore produces a vapor-liquid phase envelope. ps:/www.cambridge.org/core. UCL, Institute of Education, on 11 Jan 2017 at 04:40:34, subject to the Cambridge Core terms of use, available at e.org/core/terms. http://dx.doi.org/10.1017/CBO9781139028875.013 Stability (a) At constant temperature, there is a single equilibrium P, vº, and v¹. Write three algebraic equations that can be solved simultaneously to give these values for a given T. (b) Write an equation that can be solved to determine the spinodal volume, spin Explain how the resultant equation can give both G,spin and spin (c) Find the critical temperature To, volume vc, and pressure Pe in terms of the constants a and b.
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