The mineral mangan neptunite has the empirical formula K2Na4Li2Mn3Fe2+Ti4Si16O48
It’s been found locally here in St.Hilaire and samples on ebay are not cheap. The compound fascinates me because it consists of seven oxides, all of which are binary compounds. Can you give formulas for each of the oxides? We expect you to get the answer from a basic knowledge of the periodic table and from a bit of logic, not from knowing geology.
Here’s the solution:
In the compound K2Na4Li2Mn3Fe2+Ti4Si16O48
K+, O-2 = K2O
Na+ , O-2 = Na2O
Li+, O-2 = Li2O
Fe+2(given as such) = FeO
SiO2 (same ratio as family member carbon)
To figure out Mn and Ti’s charges, we apply some logic:
So for two K and two Li we need a total of only 2 oxygens. Four sodiums require 2 oxygens. Sixteen Si’s(see formula) need 32 oxygens. One Fe+2 needs 1 oxygen. There are 48 oxygens in all in mangan’s formula. So far we have accounted for 37. The remaining 11 oxygens bond to 3Mn’s and 4 titaniums.
Let x = Mn’s charge
Let y = Ti’s charge
3x + 4y = 22
x = (22 – 4y)/3
From trial and error we see that the only whole numbers that satisfy the above equation are
y = 1 and x = 6.(but 6 is too high an oxidation # for Mn in a mineral)
y = 4 and x = 2.
So Mn+2 and O-2 = MnO.
Three Mn’s require 3 oxygens, which leaves (11-3 =) 8 for titanium, which is exactly what four Ti+4 need.
Ti +4, O-2 = TiO2.