330 B. Rosing on the Participation of Matter 



shall have 





Jdl- 



-J/edE 



= — K 



-8F 

 it 



and therefore 









V 



-¥(-,+')'<"- 



Kdl + 



4:7T(2 



3 \€ 



«) 



= - 



V 









After integrating along the closed curve, we have, in 

 consequence of equalities which hold in this case, 



JHrfH = jldl=0, jHrfI= -JlrfH, 



the equality 



But formula (15) shows that 



- 4tt/2 A X 2 



1+ T(e +1 )^7 ; 

 consequently 



-JMH-JOT. 

 Farther, 



where 6 is the absolute temperature. 



But the theory of Free Energy tells us that 



dF = dXJ-dS0, 



where U is the complete energy of the body and S0 its bound 

 energy. 

 Therefore 



§8F = §dU-$dS0-^dd=§d\J-§edS=§dTJ-A§dQ f 



TsF 



because ^- = S, i. e. the entropy, and 6d& = kdQ ) , where Q 



is the quantity of heat supplied to the body and A the mecha- 

 nical equivalent of heat. 



In the case of an isothermic process, when the body on 

 completing the cycle arrives at the initial conditions, we have 



pU = 0; 



and therefore 



W=-j , IdH = jSF = -AQ. 



