FREE BOOKS

Author's List




PREV.   NEXT  
|<   360   361   362   363   364   365   366   367   368   369   370   371   372   373   374   375   376   377   378   379   380   381   382   383   384  
385   386   387   388   389   390   391   392   393   394   395   396   397   398   399   400   >>  
g-points under the pressure of one atmosphere differ greatly from the ratios of Tc, an approximate confirmation of the law of Trouton may be compatible with an approximate confirmation of the consequence of the law of corresponding states. If we take the term boiling-point in a more general sense, and put T in the law of Trouton to represent the boiling-point under an arbitrary equal pressure, we may take the pressure equal to pc for a certain substance. For this substance mr/T would be equal to zero, and the values of mr/T would no longer show a trace of equality. At present direct trustworthy investigations about the value of r for different substances are wanting; hence the question whether as to the quantity mr/T the substances are to be divided into normal and associating ones cannot be answered. Let us divide the latent heat into heat necessary for internal work and heat necessary for external work. Let r' represent the former of these two quantities, then:-- r = r' + p(v_v - v_l). Then the same remark holds good for mr'/T as has been made for mr/T. The ratio between r and that part that is necessary for external work is given in the formula, r T dp ------------ = ----. p(v_v - v_l) p dT By making use of the approximate formula for the vapour tension:-- p /Tc - T\ log_[epsilon] --- = [int]' (--------), we find-- p_c \ T / r Tc ------------ = [int]' --. p(v_v - v_l) T At T = Tc we find for this ratio [int]', a value which, for normal substances is equal to 3/0.4343 = 7. At the critical temperature the quantities r and vv-vl are both equal to 0, but they have a finite ratio. As we may equate p(v_v - v_l) with pv_v = RT at very low temperatures, we get, if we take into consideration that R expressed in calories is nearly equal to 2/m, the value 2[int]'Tc = 14Tc as limiting value for mr for normal substances. This value for mr has, however, merely the character of a rough approximation--especially since the factor f' is not perfectly constant. Nature of a liquid. All the phenomena which accompany the condensation of gases into liquids may be explained by the supposition, that the condition of aggregation which we call liquid differs only in quantity, and not in quality, from that which we call gas. We imagine a gas to consist of separate molecules of a certain mass [mu], havi
PREV.   NEXT  
|<   360   361   362   363   364   365   366   367   368   369   370   371   372   373   374   375   376   377   378   379   380   381   382   383   384  
385   386   387   388   389   390   391   392   393   394   395   396   397   398   399   400   >>  



Top keywords:

substances

 

approximate

 
normal
 

pressure

 

quantity

 

formula

 
external
 
confirmation
 

represent

 

Trouton


liquid
 
quantities
 
boiling
 

substance

 

temperatures

 

calories

 
expressed
 

consideration

 

equate

 

temperature


critical

 

limiting

 

finite

 

aggregation

 

differs

 

condition

 

supposition

 

explained

 

quality

 

molecules


separate

 

imagine

 

consist

 

liquids

 

approximation

 
character
 
factor
 

phenomena

 

accompany

 

condensation


Nature
 
perfectly
 

constant

 

wanting

 

question

 

greatly

 
ratios
 

divided

 
answered
 

associating