278 PROFESSOR WILLIAM THOMSON ON THE 
tions through the range, to compensate for the quantities converted into mechani- 
cal effect]. ! 
Column IV. shews the true duty of a unit of heat, and a comparison of the 
numbers in it with the corresponding numbers in Column III. shews how much 
the true duty falls short of Carnor’s theoretical duty in each case. 
Column VI. is calculated by the formula 
8 
Bete ato th pat 
where ¢ = 2°71828, and for YS ‘ pac the successive values shewn in Column III. 
are used. 
Column IV. is calculated by the formula 
W = 1390(1—-R 
from the values of 1 — R shewn in Column V.. 
38. Table of the Motive Power of Heat. 
Ill. IV. Ve VI. 
Quantity of 
Heat con- Quantity of 
verted into | Heat wasted. 
mechanical 
effect. 
Range of Temperatures, 
Duty of a Unit 
of Heat sup- 
plied from the 
source. 
Duty of a Unit 
of Heat through 
the whole range. 


Pee 
Ft.-lbs. 
4:960 
48:°987 
96-656 
143:06 
188-22 
232°18 
74:97 
316-64 
357:27 
396-93 
435°69 
47362 
510-77 
547°21 
582-98 
618-14 
652-74 
686°80 
720-39 
753-50 
786:17 
818-45 
850-34 
881-87 

6 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 










