312 THE EARL OF BERKELEY, MESSRS. E. G. J. HARTLEY AND C. Y. BURTON 
Table VI.—Cane Sugar. 
Approximate 
volume 
concentration. 
\V eight 
concentration. 
At 0° C. 
At 30° C. 
X 
1— 1 
o 
1 
Cm 
Pressure 
range. 
1 to osmotic 
pressure. 
k x 10 5 . 
Pressure 
range. 
1 to osmotic 
pressure. 
34-0 
3* *62 
1 to 27 
420 
56 ■ 5 
3 • 46 
1 to 44 
3-31 
1 47 
540 
81-2 
— 
3-00 
1 ,, / 3 
660 
112-0 
2-78 
1 to 100 
2-73 
1 „ 108 
750 
141-0 
2-53 
1 „ 135 
2-56 
1 ., 143 
850 
183-0 
2-33 
1 „ 187 
2 36 
1 „ 199 
920 
217-5 
2-20 
1 „ 230 
2-28 
1 „ 249 
960 
243-0 
— 
2-15 
1 „ 264 
a-Methyl Glucoside. 
Approximate 
volume 
concentration. 
Weight 
At 0° C. 
At 30° C. 
concentration. 
k* 10 5 . 
Atmospheres. 
k x 10 5 . 
Atmospheres. 
23-0 
4-096 
1 to 30 
3-860 
1 to 32 
— 
54-7 
3-327 
1 „ 81 
3-326 
1 „ 82 
— 
73-3 
3-027 
1 „ 113 
3-104 
1 „ 114 
— 
90-2 
2-869 
1 „ HI 
2-971 
1 „ 141 
solution when one gramme of solvent escapes ; the pressure being maintained 
constant. The corresponding quantity for the solute is s 2 . 
Hence if w is the specific volume of the solution at any pressure p, and c, and c 2 
are the concentrations (grammes per gramme of solution) of the two constituents, we 
deduce that 
s 1 — ic — c 2 giv/cc 2 * 
where w is a function of c 2 and p , and 
s 2 = w — c x dw/cc j, 
where w is a function of c 1 and p. 
* Callendak. ‘ Roy. Soc. Proc.,' A, vol. 80, 1908, p. 470, gives this equation without proof. It mav 
be obtained thus : Let nq and m 2 be the masses of the two components present in a volume V of solution, 
then + m 2 ) = and m 2 l(m 2 + m- 2 ) = c 2 and w = V/(«n + m 2 ). Now add a mass Smi of solvent, and let 
the increase in volume be SV, we have m 2 /(mi + to 2 + Sm 2 ) = c 2 + Se 2 and w + Sw = (Y + 5V)/(m 1 + rn.> + Sm i), 
from which iv - c 2 dw/cc 2 = 8V /8mi, which is «i. 
