82 Mr. J. Kam on Molecular Attraction and 



It will be seen that "reduction o£ cj) = n.b t to v = l" 



reduces the value of x to 1, whatever the temperature. 



273 

 If T>273, b t =- ~ .b and consequently x>l, — L <?., at the 



higher temperature the compression must be greater. 

 If T<273, x< 1 : at the lower temperature less compression 

 is required to attain the same II. 



Substituting x in the equation for the temperature T, 



v+bt T/273Q + 1) __ v+± 1 

 v *(T/273n + l)v v 'v 



_ n + l 273/T = <j> + b t 273/T 

 n ' n . b t <jy <j> 



_4> + h _l_ 

 ~ 'T/273.0' 

 1 The last equation but one indicates that (273/T) 2 N mole- 

 cules at T° compressed from the volume <£ = 273/T atT°and 

 n = l to a volume <j) exert the same pressure II as at the 

 temperature 0° compressed from the volume v = 1 to a 

 volume v = T/273 . (/>. This volume v is the experimental 

 value, and is the reduced value of <f> = n.bt in respect of 

 v =l. For b t expressed in <£ grows at the same rate as <£ 

 through the reduction. 



Or again, 



Imagine two quantities of gas at the two temperatures T 

 and 273 exerting at the same volume 1 the infinitely small 

 but still appreciable total pressure II = 1. Then 



R - 273 R 



The same pressure II will be reached at the volumes 

 v = (n + l)/3 and v t = (y + l)/3 t , if v and v t are expressed in 

 the volume 1, at n = l, i. e.. 

 1 1 



n 



or 



r — A, vt—fr 



11 1 



«.£o y-fr „ 273 



T 



y ~ 273 



" Reducing " the volume y . @ t to %=1, 0°, U =l, 

 = R/T _ R.T 1 273/T c 



~ y . § .~ T/273 . n . £ «>o-A> ~ » • A?" 



