490 Prof. R. Bunsen on the Temperature of the 



temperature t v On the other hand, if only hx burn by the ex- 

 plosion and therefore h(\— x) remain unburnt, then the equation 

 is altered to 



, w%h m 



l ~ /H + 0\ / O \ m > \'J 



[ ~Yj — ) 1ixg w + ( o — jj hx) o- 4- (1 — a?) h<r h + n<r n 



where <j h represents the specific heat at t 1 of the residual un- 

 burnt hydrogen. If we have 



/H + O 



\-w- 



\ r 



so we get 



h<i h + oe + n<T n =i'D ; 



<-S> ^ 



X=Z hw-t x U * * * (4) 



From the pressure P } to which the exploding mixture at the tem- 

 perature t x is exposed, we obtain for t Y (by the help of Mariotte 

 and Gay-Lussac's laws) the further equation 



(l + «OPS=(l+«0PiSi, .... (5) 



in which u signifies the coefficient of expansion of the gases, t 

 and P the temperature and pressure of the mixture at the closing 

 of the exploding vessel, and S and St the specific weight of the 

 mixture before and after the combustion. 



If we take the specific weights of the gases in the mixture and 

 in the products of combustion, representing the specific heat of 

 the same by the symbols s m s , s n} s h} and the total weight of the 

 mixture of gases by G, then 



s= G 



A 9. Hl 



$h S o S n 



s.- G 



1 i /h+o\. i / o."\,i;. ;. i ' 



— (— it — )tiae+ — (o— =jhx ) + — (l—x)h+ ~n 

 s w V H / s \ H / s h K ' s# 



or, more simply, 



