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Page 1 of 8 Lecture 6 Virial Expansions and Critical Behavior September 11, 2008 Using the virial expansion in pressure: (1) at p = 0, Z = 1, perfect gas (2) at T , Z = 1 for all gasses (3) T p p Z lim ( ) ... p RT a b 2 RT a RT a b RT 1 p Z 3 T + + = = RT a b RT 1 p Z lim T p Page 2 of 8 If RT a b > then p Z lim T p > (Repulsive interactions dominate) (note the initial slope is positive) RT a b = then p Z lim T p = (Boyle's condition) (note the initial slope is zero) RT a b < then p Z lim T p < (Attractive interactions dominate) (note the initial slope is negative) b = a/RT can be rewritten as T B = a/Rb This is the Boyle Temperature!!! ... View Full Document