RELATION OF FOOD TO WORK, AND 275 



which the combustion of 700 grams of carbonic acid would raise the 

 weight of 67 kilograms in 24 hours — 



= 760 X 6 X 8.080 x 423 _ ^^^^ ^^^^^ 

 22 X 07 X 1000 

 The extreme values of the carbonic acid excreted, viz, 660 grams and 

 860 grams, would correspond to the heights of 5.74 miles and 7.48 miles, 

 respectively. 



Dr. Edward Smith has estimated the daily excretion of carbon from 

 the lungs, in the case of four persons, as follows : 



Body weiglit. Carbon. 



Mr. Moul 173 pounds. 6. 735 ounces. 



Dr. E. Smith 196 loounds. 7. 85 ounces. 



Prof Frankland 136 pounds. 5. 60 ounces. 



Dr. Murie 133 pounds. 6. 54 ounces. 



In order to convert the preceding data into vertical miles through, 

 which the body weigut is lifted, we must multiply the ounces of carbon 

 by the following coefflcient, and divide the product by the body weight : 



Coeff. = 8080x^x772 ^ ^^^^^^ 

 16 X 5 X 5280 

 log (coeff.) -: 2.1235473 

 We thus obtain, for the heights through which the carbon consumed 

 would lift the observers — 



Mr. Moul 5. 17 miles. 



Dr. E. Smith 5. 32 miles. 



Prof. Frankland 5. 47 miles. 



Dr. Murie 6. 53 miles. 



Pettenkofer and Voit succeeded in producing a range of carbonic acid 

 excreted by a large dog, weighing 33.3 kilograms, from 289.4 grams to 

 840.4 grams ; the minimum corresponding to the 10th day of fasting 

 from solid food, and the maximum corresponding to a diet of 1,800 grams 

 of meat, 350 grams of fat, and 1,410 gi'ams of water. 



It may be easily shown, by a calculation similar to the foregoing, that 

 these excretions of carbonic acid correspond to the mechanical works of 

 lifting the weight of the dog through vertical heights of 5.03 miles and 

 14.62 miles, respectively. 



Combining together the preceding results, and expressing them all in 

 the natural units of the weights of the animals lifted through a height, 

 we find — 



Worii dve to animal heat. 



MAN. 



1. Dr. Ranke, (fastiug) 5. 74 miles. 



2. Dr. Eanke, (well fed) 7. 48 miles. 



3. Mr. Moul 5. 17 miles. 



