358 G. A. Linhart — Rate of the Reduction of 



P! 



where m = — ^- (a) 



^H 2 Hg 2 Cl 6 + ^HHgCls 



From the Law of Mass Action 



H 2 Hg 2 C]^z±HHgCl 3 + HHgCl 9 , 



p 2 



, ^ HHgCls 7 fM 



whence - 6 = k 1 i D ) 



W 2 Hg 2 Cl 6 



p i p^ ( c ) 



and ^HHgCU = &! ^H 2 Hg 2 Cl6 



p 



Substituting this value for ^HHgCls in equation .(a) 



m .. jA ^ H 2 Hg 2 Cl 6 (d) 



^H 2 Hg 2 Cl 6 + ^HHgCls 

 If ^HHgCls at any time £ is very small as compared with 



r 



H 2 Hg 2 Cl 6 , equation (d) may be changed to 



m - lc * V^H 2 H g2 Cl 6 + ^HHgCl,/ , 



m _ /,, -^- — (e) 



^H 2 Hg 2 Cl 6 + ^HHgCla 



= h? \C H2 Hg 2 Cle + C H H g cJ " = *»* («-*)"* (f) 

 Substituting this value of m in equation (7) 



— = kk* {a — x)~i (a — x) (b — £a:)(C + jc) 

 tit 



= Jck* (a - as)* (b - ix) (C + x). (8) 



In order to simplify equation (8) for integration, an approxi- 

 mate value for (a — as)* may be substituted : 



(a - x)i = ai - g^aj - §^j«"- i^ a )i X% ~~ ' ' ' 



It is evident that all terms beyond the second decrease very 

 rapidly, so that (a — xf may be set equal approximately to 



