If one desired to attempt to represent some actual experimental data by an analytical equation of state, one could proceed as follows:(1) From the coexistence curve data, determine the limiting slope of a1 2 or aa 2 versus t. This limiting slope determines -6Pat/ paaa.(2) From heat capacity data determine the discontinuity in C v at the critical point. From Eq. (7) we have lim (t:.Cv/RZc) = 3PaUPooa.These two relationships may then be solved for the two quantities pat and paaa.(3) Determine the limiting slope at the critical point of the rectilinear diameter of the coexistence curve. This limiting slope is given by4 ! (da1 da a ) 2 dt+ dt = 3pat (_ -.±. _ ! poot + ! Paaaa) . (29) paoo 15 3 pat 5 paaa (4) Determine the discontinuity in the second temperature derivative of the pressure at the critical point. With pat and Pooa known, Eqs. (19) and (29) can then be solved for poot and paaaa. These values of the four quantities pat, paaa, paat, and paooa can then be imposed on an analytical equation of state when attempting to represent experimental data by such an equation.