DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS
Martin-Hou equation of state (1955) can be derived on the basis of statistical mechanics.By modifying the effect of molecular volume and further ap proximation,virial equation of state [ p=RT/V+ f 2(t) /V 2+f 3(t)/V 3+f 4(t)/V 4+f 5(t)/V 5 ] can be turned into Martin-Hou equation of state[ p=RT/(V- b)+f 2(t)/(V-b) 2+f 3(t)/(V -b) 3+f 4(t)/(V-b) 4+f 5(t)/ (V-b) 5 ].From the derivation it can be seen that Martin-Hou equa tion of state has the same basis in theory as the virial equation of state.As the intera ction between molecules is very complex,Martin-Hou equation of state used the th ermodynamic relations and experimental data to simplify the function of temperat ure [ f n(t )],and obtained good result.The functio n of temperature of M-H equation of state can be derived,which is similar to an alytic forms of viral coefficients ∑∞n=1a nT ?n-1 ,and the physical meanings of parameters are explicit too.In or der to extend the usage of Martin- Hou equation of state,it is of importance to study the theoretical foundation of Martin-Hou equation of state and the phys ical meanings of its coefficients.