434 Prof. Clausius on the Application of the Mechanical 



Effecting, by means of this equation, the successive determina- 

 tions of /, described in § 47, we obtain the following series of 

 approximate values : — ^ 



a =133-01 



/^'rz: 134-43 



/^''= 134-32 



/""= 134-33 



Further approximate values would only differ from each other in 

 higher decimal places ; so that, contenting ourselves with two 

 decimal places, the last number may be considered as the true 

 value of /g. The corresponding pressure is 



jD2= 2308-30. 



Applying these values of V and p^, as well as those given in 

 § 51, to the first of the equations (XVIII), we obtain 



W= 11960. 



Tambour's equation (XII) gives for the same volume 0-6, the 

 work 



W= 12520. 



54. In order to show more clearly the dependence of the work 

 upon the volume, and at the same time the difference which 

 exists between Pambour's and my own theory in this respect, I 

 have made a calculation, similar to the last, for a series of other 

 volumes increasing uniformly. The results are comprised in the 

 following Table. The first horizontal row of numbers, separated 

 from the rest by a line, contains the values found for a machine 

 without vicious space. In other respects the arrangement of the 

 Table will be easily understood. 



We see that the quantities of work calculated according to 

 Pambour's theory diminish more quickly with increasing volume 



