104 PRESSURE, TEMPERATURE, AND DENSITY. 



. . 



p > - p'l + at' 



COR. 2. If the volume, and therefore the density, re- 

 mains constant, while the temperature rises, the pressure 

 will also rise. 



Let p be the pressure when t = 0, v and p remaining 

 constant. Then (3) becomes, 



Po = fa (5) 



Substituting in (3), we have 



p=j (l + ( 6 ) 



where p and j? are the pressures at the temperatures t and 

 0, the volume being constant. 

 Let t = 1, then (6) becomes 



p p = p cc = .003665jt> (Art. 53) ; 



that is, if the volume of a mass of gas remains con- 

 stant, an increase of temperature of 1 C. produces an 

 increase of pressure equal to .003665 of its original 

 pressure. 



COR. 3. If Fahrenheit's scale is used, (3), (4), and (6) 



become respectively 



7 460 + t ,. 



._. 



p' 460 + *" 

 460 + t 



COR. 4. If p' be the pressure of the same gas at a temper- 

 ure /', the volume remaining constant, we have, from (9), 



460 + 

 P - 



