596 Prof. R. 0. Tolman on the Relativity Theory: 



But equation (16) provides an expression for p in terms of 

 V leading on integration to the relations 



which gives us on division, 



T2 _ Q2 _ f" ni v 2 2 -1 /r wprj 2 -1 

 Tx Qi Lyi^?J av /L^T^?Jav. 



1F<? s<?e ^Aa^ £/*6 absolute temperature measured on the thermo- 

 dynamic scale is proportional to the average value of 



We may finally express our temperature in the same units 

 customarily employed by comparing equation (16), 



3 lvi-yj ay ; 



■with the ordinary form of the gas law 



p Y=nRT, 



where n is the number of mols. of gas present. 

 We evidently obtain 





nR 



The quantity -^ may be called the gas constant for a 



single molecule and is usually denoted by the letter h. 



?=* en) 



Substituting into the previous equation and also remembering 



the relation 1~ ???0 ^ - 1 = 7 we have 

 L/l-v 2 J av . h 



™=\ ( 18 > 



