286 THE ATOMIC WEIGHTS. 



16.0029 g rm - MnSO 4 gave 9.2228 MnS 57.632 per cent. 

 16.3191 " 9.4048 " 57.631 



15.9307 9.1817 " 57-634 " 



15-8441 9-131$ " 57.634 " 



16.2783 9.3819 " 57.635 " 



17.0874 9-8477 " 57.633 " 



Mean, 57.633, .0004 

 von Hauer found, 57.608, =b .0080 



Hence the general mean is identical with Weeren's to the third deci- 

 mal place, which is unaffected by combination with von Hauer's data. 

 We have now to consider the following ratios for manganese : 



(i.) 2AgCl : MnCl 2 : : 100 : 41.924, =b .0150 



(2.) 2Ag : MnCl 2 : : loo : 58.321, d= .0010 



(3.) 1J 2 O : Mn 3 O 4 : : 100 : 1255.82, .340 



(4. ) 2L'O 2 : Mn : : 100 : 61.3943, .0122 



(5.) AgMnO 4 : Ag -f MnO : : 100 : 78.835, .0174 



(6.) KBr : AgMnO 4 : : 100 : 190.584, .0062 



(7.) MnSO 4 : MnO : : 100 : 47.004, .0006 



(8.) MnSO 4 : MnS : : 100 : 57.633, .0004 



Computing with the subjoined preliminary data 



O 15.879,^.0003 K = 38.817,^.0051 



Ag = 107.108, .0031 C = 1 1.920, .0004 



Cl = 35.179, dr .0048 S 31.828,^.0015 

 Br = 79-344, .0062 AgCl = 142.287, -0037 



these ratios reduce as follows : 



First, for the molecular weight of manganese chloride, two values are 

 deducible. 



From (i) MnCl 2 124.996, d= .0428 



From (2) " = 124.933, .0042 



General mean MnO 2 124.934, .0042 



Hence Mn = 54.576, .0075. 



For manganese there are seven independent values, as follows : 



From molecular weight MnCl 2 Mn = 54.576, .0075 



From (3) " = 5.3.667, ..0203 



From (4) " = 53.633, .0107 



From (5) " = 54.450, .1511 



From (6) " = 54.572, .0173 



From (7) " 54.601, .0018 



From (8) " = 54-575, dr .0022 



General mean Mn = 54.571, =fc .0013 



If = 16, this becomes Mn = 54.987. 



In this case five of the separate values are well in accord, and the re- 

 jection of the two aberrant values, which have high probable errors, is 



