pyrolusite ~ ore of manganese dioxide ( MnO2)
Here, pyrolusite is d limiting reagent.....oxalic acid being takn in excess....
resulting mixture is thn titrated wid KMnO4......an eg of back titration
Givn tat 25 cc soln req 32 cc of KMnO4
equivalence of any substance = Normality x Volume
no of equi of KMnO4 = 32 x 0.1/1000 = 0.0032
by law of equivalence, no of equi of oxalic acid = 0.0032
nw in 250 cc soln, no of equi of oxalic acid = 0.032
total no of equi of oxalic acid = 50 x 1/ 1000 = 0.05 ( initially )
no of equi of oxalic acid wic react wid MnO2 = 0.05 - 0.032 = 0.018
no of equi of MnO2 left unreacted = 0.018
henc mass of MnO2 left = no of equi x equi wt = 0.018 x 43.5 = 0.783g [(55+ 32)/2 = 43.5]
so % = 0.783 x 100/ 1.6 = 48.9 %
available oxygen....
???? 
