( 187) 
§ 5. Because of the approach to the ideal gas-state at high 
temperatures, it is desirable in developing the reduced virial co-effici- 
ents with regard to t, to start from t and to take polynomials of 
t 
The linear form in ¢ is insufficient. It is obvious that for instance 
€ = © ¢ + & is altogether unsatisfactory. Some calculations made 
us suppose that by means of such terms as t e 7 some peculiarities 
in the course of the functions could be represented, and that then c 
might be chosen nearly equal to 1. Such terms (giving also after the 
development terms in 1/t) can easily be brought into connection with 
the idea of the collisions as dissociation phenomenon, and as in a 
development in series of an equation of state which takes this into 
9 
account, terms t e ¢ could also be expected, a term of this form was 
immediately taken into consideration. Although for the representation 
of B and € the three terms considered were sufficient, for D it was 
. Ld 1 . 
necessary to introduce still more terms and we returned to Pe this 
was also used with € and §. So the first approximation for the 
reduced virial co-efficients was obtained. 
1 2 
108, B = -+ 499.79 t— 297.66 te t —21.74te t 
vs 2 
101, © = + 141.725t —149.828te t + 67.367 te t 
a 2 l 
1018, D = + 587.74 t — 313.26 te t + 189.87 te t — 1145.93 — 
1 
1025, € — — 8448.85t4 6594.51 tet — 8793.16 — 
de : 1 
1032, § = + 9067.14 t — 7116.50te ¢ + 1015219 — 
In the following table are combined the deviations between the 
virial co-efficients derived from these reduced virial co-efficients with 
recard to the normal volume and those immediately derived from 
o 
the observation in the table of § 3. 
