KATE OF ACCUMULATION OF HEAT. 



35 



or 



where 



10*" = 



10 £ 



*"=*'- 



t" = V- 



Jcy a log, 10. 10 at 'T 



log(l-fcy,,alog e 10r) 



a 



log (1-mT) 



m = lcy t >a log e 10. 



The most difficult part of work of this kind is the selection of the 

 differential; this was done by S. J. Dennis, of the Bureau of Plant 

 Industry, who also aided the author in making the integration. 



APPLICATION OF FORMULA TO SPECIFIC CASES. 



As an illustration this formula has been applied to the Connett 

 peaches of July 22, which, if they followed exactly van't HofFs 

 formula, would respire at the rates of 120.5, 53.0, 23.2, and 10.2 mg 

 of carbon dioxid per kilogram per hour at temperatures of 30°, 20°, 

 10°, and 0° C, respectively — the constants a = 0.0357 and y=10.2 

 having been determined experimentally. 



In the following table the increases of temperature with time are 

 shown : 



Table 5. — Increase of temperature of Connett peaches, during definite intervals of time 

 when adiabatic conditions are imposed at varying initial temperatures (July 22). 



Interval of 

 time ( T). 



Temperature of fruit (£") after given intervals 

 ( T), calculated from different initial temper- 

 atures («')• 



t'=0° C. 



2/=10.2 

 m= 0.0024 



t'=10°C. 

 l/=23.2 

 m= 0.0054 



i'=20° C. 



i/= 53.0 

 m=> 0.0124 



*'=30° C. 

 2/=120.5 

 m= 0.0282 



Hours. 



1 



10 



20 



°C.(Z"). 



0.03 



.3 



°C. {t"). 

 10.07 

 10.7 



°C. {t"). 



20.15 

 21.6 

 23.5 

 25.7 



°C. {t"). 



30.35 



34.0 



40.1 



52.9 



84.2 



30 







35 







40 







28.4 

 31.8 

 36.6 

 44.7 

 80.0 



50 



60 



1.6 



13.9 







70 









80 









100 



140 



3.3 



19.6 

 27.4 

 30.6 

 34.9 

 41.5 

 57.1 









150 



160 



5.4 











170 : 









180 









200 



250 



300 



350 



360 



370 



380 



390 



400 



410 



415 



8.0 

 11.1 

 15.5 

 22.3 

 24.3 

 26.6 

 29.6 

 33.5 

 39.2 

 50.3 

 67.2 









































































