Attraction of Mass, and some New Gas Equations. 75 



of which (E) again applies to any temperature, i. e. any- 

 reduced value of (f> in equation (Ei), and always is 6 equal 

 to (E^. 



The same operations lead in the case of the cubic ex- 

 pression (E x ) to the similar expressions, 





*V?*)"'" ■ 



• • (i.) 



dcj> 2 U ' 



12c T 2 



. ; (ii.) 



*•'>-?*.)"' ' 



r '' 



hence V^r , 



273 

 <p c = 3/3. ~ = 3/3T,, 



J c 



2 

 " =8' 





7 3 P 273 1 J. 



t>T c = 9 PT c ,-7Tr- = -<?> e , 



and in the case of the quadratic form of [E^ 

 d P = 4(?T = 2(^ c +6 Te ) 1 



c T = i^> c , in respect of <£= 1 at T c and 11 = 1. . (22) 

 As e = -7TT- .?>« 



1.273 . , ., , ., 



c T = — -rp- . r c m respect or <p=l, the temperature 



J lc T c andn=l. . . . (22 a) 



In respect of v =l, 



CT = iv e , (22 6) 



r t 1 2 r T 1 3 



Co = *"'l27lj > =**-W3J - • (22C) 

 The values thus calculated for c (equations 17 and 23 c) 



will be derived presently in a completely independent and 



different manner. 



The value of ct (equation 22 a) substituted in the original 



equation affords at once 



ct 1 1 T ff T „ /OQ . 



P° = *• = *? = 2^7 = 27, • 273 = * "" • • (2i a) 



^73 



2p c . v c . —.- = 1 (constant) (23 b) 



