A 542.3g sample of Manganese oxide has a Mn : O ratio of 1.0 : 1.42, consists of braunite (Mn_2 0_3);...
... Manganosite (MnO) What masses of braunite; manganosite are in the ore? What is the ratio of Mn^+3 Mn^+2 in the ore?
Let w be the wt. of braunite, then wt. of manganosite is (542.3-w)
By atom balance and extracting Mn:O, we get
(542.3-w + 2w)/ (542.3-w + 3w) = 1:1.42
wherefrom one gets w = 392.7 g and (542.3 - w) = 149.6 g
Now amount of Mn3+ is 110*392.7/155 = 278.7 g
and amount of Mn2+ is 55*149.6/71 = 115.9 g
Ratio of Mn3+ to Mn2+ will be 278.7:115.9 = 12:5