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Unformatted text preview: p cr V m, cr /RT cr = 3 8 , which differs from the value of 1 which follows from the general gas law. Scaled on the critical quantities, with p * := p/p cr , T * = T/T cr and V * m = V m /V m, cr with V m := V/n s holds: p * + 3 ( V * m ) 2 ( V * m-1 3 ) = 8 3 T * Gases behave the same for equal values of the reduced quantities: the law of the corresponding states . A virial expansion is used for even more accurate views: p ( T,V m ) = RT 1 V m + B ( T ) V 2 m + C ( T ) V 3 m + The Boyle temperature T B is the temperature for which the 2nd virial coefcient is 0. In a Van der Waals gas, this happens at T B = a/Rb . The inversion temperature T i = 2 T B . The equation of state for solids and liquids is given by: V V = 1 + p T- T p = 1 + 1 V V T p T + 1 V V p T p...
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- Spring '10