By William Geraint V. Rosser

Creation to Statistical Physics (Mathematics and Its purposes) [Paperback

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**Extra resources for An introduction to statistical physics (1982)**

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One of the non-ideal gas laws was that developed by van der Waals. His equation of state takes the form P ¼ [RT=(V À b)] À a=V 2 (3:16) The two constants a and b are characteristics of the gas and are called van der Waals constants. This equation is rarely used today. , as a bridge between the simplest equation of state (ideal gas law) and the more complicated equations that will follow. The reader should note that the terms V and v are used interchangeably in the literature to represent either volume or speciﬁc molar volume.

MARON and C. PRUTTON, Principles of Physical Chemistry, 4th edition, MacMillan, New York, 1970. 3. R. Perry and D. ), Perry’s Chemical Engineers’ Handbook, 8th edition, McGraw-Hill, New York, 2008. 4. J. SMITH, H. VAN NESS, and M. ABBOTT, Introduction to Chemical Engineering Thermodynamics, 7th edition, McGraw-Hill, New York, 2005. 5. N. CHOPEY, Handbook of Chemical Engineering Calculations, 2nd edition, McGraw-Hill, New York, 1994. 6. R. BIRD, W. STEWART, and E. LIGHTFOOT, Transport Phenomena, 2nd edition, John Wiley and Sons, Hoboken, NJ, 2002.

Solve for V iteratively. 820 L/gmol. 635 L/gmol. Pitzer’s correlation(1) is another equation of state. As described earlier, the deﬁnition of an equation of state is one that relates pressure, molar or speciﬁc volume, and temperature for any pure ﬂuid in an equilibrium state. For a real gas, molecular interactions do exist and the ideal gas law can no longer be applied to calculate an accurate result. 19). 3. The Pitzer correlation equation for the Z is based on the Virial equation discussed earlier: Z ¼ 1 þ BP=RT ¼ 1 þ (BPc =RT c )(Pr =T r ) Part of the second term, BPc/RTc, is dimensionless and can be evaluated from the equation below:(2) BPc =RT c ¼ B0 þ vB1 where (3:21) B0 ¼ 0:083 À 0:422=Tr1:6 B1 ¼ 0:139 À 0:172=Tr4:2 The above calculational procedure for Z has been deﬁned by one of the authors(3) as the “B” approach.