436 Prof. Clausius on the Application of the Mechanical 



ratio of 3 : 2 nearly ; so that setting 



V=l-5, 

 we will determine the work for this velocity. 



56. The temperatures /, and /g must now be determined by 

 setting this value of V in the two last of equations (XVII). For 

 the machine without a condenser, the determination of t^ has 

 been sufficiently explained ; and as the present case differs from 

 that one only by a different value for e, which was there equal 

 to 1, it will be sufficient to state here that the final result is 



/2=137''-43. 



The equation (49), which serves to determine ^g, now takesj, 

 the form 



iJa.T.. ^3=26-604 + 51-515 Log|^, .... '(57) 



a^id £coia it we -obtain the following approximate values : — 



t' = 99-24 

 H' =101-93 

 f" =101-74 

 t"" =101-76. 



We may consider the last of these values, from which the follow- 

 ing ones would only differ in higher places of decimals, as the 

 proper value of t^ ; and we may use it, together with the known 

 values of t^ and Iq, in the first of the equations (XVII). By so 

 doing we find 



W=31080. 



When, assuming the same value of V, we calculate the work 

 according to Pamboui'^s equation (XII), — whereby, however, the 

 values of B and b are not taken from equation (29b), as in the 

 machine without condenser, but from equation (29a) intended 

 for machines with condensers, — we find 



W= 32640. 



57. In a manner similar to the foregoing I have also calcu- 

 lated the work for the volumes 1*2, 1*8, and 2*1. Besides this, 

 in order to illustrate by an example the influence which the 

 several imperfections have upon the work, I have added the fol- 

 lowing cases : — 



(1) The case of a machine having no vicious space, and where 

 at the same time the pressure in the cylinder during the entrance 

 of the vapour is equal to that in the boiler, and the expansion is 

 carried so far that the pressure diminishes from its original value 

 Pi to Pq, If we fjirther suppose that Pq is exactly the pressure 



