Pyrite is a mineral with formula FeS2. An impure sample of pyrite, known to be 90-95%
w/w FeS2, is to be analyzed by oxidizing all the sulfur to SO42-, and then precipitating as BaSO4.
Exactly how many grams of the sample must be taken if a minimum of 1.0 gram of BaSO4 is
desired? ( stoichiometry).
Answer:
First we can calculate the number of moles BaSO4:
m( BaSO4 ) 1.0 g
n( BaSO4 ) 0.0043mol
M ( BaSO4 ) 233 g / mol
Next we can write the reaction equations:
4FeS2 + 11O2 → 8SO2 + 2Fe2O3
4 mol 8 mol
3SO2 → 2SO3
3 mol 2 mol
SO3 + H2O → H2SO4
1 mol 1 mol
H2SO4 + Ba2+ → BaSO4 + 2H+
1 mol 1 mol
From this:
n( FeS 2 ) 0.00286mol
The mass of the FeS2 will be:
m( FeS 2 ) n( FeS 2 ) M ( FeS 2 ) 0.00286mol 120 g / mol 0.3432 g