166 



A RELATION BETWEEN THE FLUIDITY AND 



liquids A and B corresponding to two values of the fluidity 

 (0) and t' and t are the temperatures of liquid B corresponding 



Ta 



to the two fluidities, is determined as follows: The ratios 



Tb 

 corresponding to a number of different fluidities are plotted as 

 abscissae against the absolute temperatures, Tb, of one of the 

 liquids as ordinates. A straight line is then drawn through 

 the series of points obtained and "smoothed ratios" read off, 

 corresponding to the temperatures Tb- The values of the 

 smoothed ratios are substituted in the equation R' = R -f- c 

 (t' - t), and the equation solved for the constant c. 



The success with which fluidities can be calculated by means 

 of the equation R' = R + c(t' - t) is shown by the examples 

 contained in Tables I and II. In these tables, the asterisk 

 indicates the temperature ratio R from which the other temper- 

 ature ratios (R') and the corresponding temperatures (Ta ) 

 have been calculated. 



TABLE I. 



Calculation of the Fluidity of Methyl Alcohol (A) from the 



Fluidities of Water (B). 



c = 0.000568. 



Observed 



Fluid 



ty 









170 



5 



182 



4 



195 



1 



209 



.9 



223 



7 



238 







253 



7 



269 



5 



286 



.5 



Observed 

 absolute 

 Temperature 



Methyl 

 Alco- 

 hol* 



293 

 298 

 303 

 308 

 313 

 318 

 323 

 328 

 333 



Water'' 



T. 



319.0 

 323.0 

 327.6 

 332.5 

 336.6 

 341.0 

 345.6 

 350.0 

 354.4 



Ratio of 



observed 



Temper- 

 ature 



Ta-^Tb 



0.9189 



0.9221* 



0.9252 



.9266 



0.9302 



0.9328 



0.9349 



0.9374 



.9399 



Calcu- 

 lated 

 absolute 

 Temper- 

 ature 



Ta 



293.7 

 298.1 

 302.9 

 308.3 

 313.0 

 317 9 

 323.1 

 328.1 

 333.2 





Differ- 





ence 



Calcul- 





ated 





Fluidity 







0calc. 





minus 







0obs. 

 fO.3 



170 8 



182.4 



0.0 



194.9 



-0 2 



210.2 



+0.3 



223 5 



-0.2 



237 6 



-0.4 



253.7 



0.0 



269.5 



0.0 



286.7 



+0.2 



J. L. Cadwcll, Zeitichr. physik- Chem.. 83. 649-50 (1913). 

 G. F. White, ibiJ., 83. 646 (1913). 



4. Bingham, E. C 



5. Bingham, £. C 



. and 

 nd 



