Consider the van der Waals equation of state. a. Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and obtain expressions for B and C in terms of the parameters a and b. Use the Taylor series expansion (1-x)=1+x+x²+... b. Measurements on argon yield B=-21.7 cm³ mol"' and C=1200 cmº mol2 for the virial coefficients at 273 K. Use these data to determine the corresponding values for the van der Waals coefficients a and b. Compare your results to tabulated values.

Physical Chemistry
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Author:Ball, David W. (david Warren), BAER, Tomas
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Chapter2: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 2.49E
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Consider the van der Waals equation of state.
a. Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and
obtain expressions for B and C in terms of the parameters a and b. Use the Taylor series
expansion (1-x)l=1+x+x²+...
b. Measurements on argon yield B=-21.7 cm³ mol- and C=1200 cm mol-2 for the virial
coefficients at 273 K. Use these data to determine the corresponding values for the van
der Waals coefficients a and b. Compare your results to tabulated values.
Transcribed Image Text:Consider the van der Waals equation of state. a. Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and obtain expressions for B and C in terms of the parameters a and b. Use the Taylor series expansion (1-x)l=1+x+x²+... b. Measurements on argon yield B=-21.7 cm³ mol- and C=1200 cm mol-2 for the virial coefficients at 273 K. Use these data to determine the corresponding values for the van der Waals coefficients a and b. Compare your results to tabulated values.
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