976 
b, 
‘ 9 
is not constant as soon as —— > 1. If very large volumes are con- 
lim 
cerned, we may put | for it, and even in the critical volume, viz. 
rb, the difference with 1 is still slight, and we find from: 
8 WA bg 
bj. 3 bim ) 
b | be 
for — —=2 the value of — to be equal to 0,97 or 0,96. 
) lim by 
We conclude from this that for the vapour volumes of the border 
line the rules given above hold with a high degree of approximation. 
he p 
But for the liquid volumes ————— is smaller than would be calcu- 
g 
Dim 
b 
lated if we had retained eee 1, and the density of the liquid 
9 
greater. The limiting liquid volume is even not 6,, but dim, and so 
by é Sy ei 3 ; ; by é 
—— times smaller, and the limiting liquid density —— times greater. 
lim lim 
This must bring about a change in the value of the factor y. 
And we can calculate the value of this change. | 
Let us put 
SEE: 
GOST las sas == 1 + y(1—) 
20 kr 
and for 4 constant 
0 es Re == l + 4(1—m). 
20' ker 
At very low temperatures the gas densities disappear. With sub- 
traction of the two equations we find: 
! 
Ovl Q vl 
zee in 
20 kr 20 kr ) ) 
For m = 0 we must introduce the limiting liquid density, and we get 
By ef 
: ree ae (2y—1) 
or 
bg 
rot = 2y-+1)") 
lim 
1) These Proc. p. 903. 
