?Express the van der Waals equation of state as a virial expansion in powers of \(1 /
Chapter 1, Problem P1C.11(choose chapter or problem)
Express the van der Waals equation of state as a virial expansion in powers of \(1 / V_{\mathrm{m}}\) and obtain expressions for B and C in terms of the parameters a and b. The expansion you will need is \((1-x)^{-1}=1+x+x^{2}+\cdots\) . Measurements on argon gave \(B=-21.7 \mathrm{cm}^{3}\)and \(C=1200 \mathrm{~cm}^{6} \mathrm{mol}^{-2}\) for the virial coefficients at 273 K. What are the values of a and b in the corresponding van der Waals equation of state?
Text Transcription:
1/Vm
(1 − x)^−1 = 1 + x + x^2 + …
B = −21.7 cm^3 mol^−1
C = 1200 cm^6 mol^−2
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