198 R. Clausius on the Application of the 
1 
(19.) Wa=m,%,p,—m, 4 Pit al" Pr, —-Mot24Mc(T, -T,)]. 
Tn the forcing down of the piston, which now oe the mass 
which at the end of the expansion occupied the spac 
My Uy + Mo 
is driven from the cylinder into the condenser, whereby the con- 
stant counter pressure p, is to be overcome. The negative work 
which is thereby done by this pressure is: ; 
(20.) W,=—m,u,p,—Mop,. : 
While now the piston of the small pump rises so high ee - 
space Mo beeomes free under it, the pressure p, W 
place in the condenser acts in its favor, and does the Fs gg 
(21.) W,=M p,. 
Finally, at the descent of this piston, the pressure p, which 
takes place in the boiler must be overcome, and does therefore 
the negative work: 
By the midition of these five eyinitlatiog wi  obtedh for the whole — 
work done during the circular process, by the pressure of the — 
steam, or as we may also say, by the heat, which we may call 
W’, the expression 7 
() Wea > slr 1—Mot,+Me (T, -T,)|+m,u, (P2-Po)- 
From this equation, the quantity m, must be eliminated. This 
quantity, if we substitute for w, the value deduced from (v1), 
occurs only in the ae m,7,, and for this product equa- 
tion (Vil) gives the expressio 
rn 
Mefg=M, Seger 7 Sop stot 7 
By substituting this expression we obtain an equation in which — 
ae known quantities occur on the right side, since the masses — 
, and Jf and the temperatures T',, T, and tr, are assumed as 
immediately given, and the quantities 7, p sud & a are supposed 4 
to be known as functions of the temperature. 3 
21. If in equation Be we = T, equal to T,, we obtain the | 
work for the case in which machine works without ony : 
sion, namely : 4 
(23) W=m,u, (Pp, Pa) 
