A certain mineral is described as a mixture of

A certain mineral is described as a mixture of plumbojarosite (PbFe6 (OH) 12 (SO4) 4), lead (PB3O4), calamine (H3ZnSiO5) and wilemite (Zn2SiO4). Its percentage in Fe atoms is (270/29)% and its percentage in Pb atoms is (300/58)%. From a certain mass of ore processed, 48 [mol-ton] of Pb2S3 (containing 80% of initial Pb) and 5406.8 [tons] of Zn3 (PO4) 2 (containing 70% of initial Zn) are recovered. .
Calculate:

a) mass (in [tonnes]) of processed mixture.
b)% H atoms in the processed mixture.

Data:
PM of PbFe6 (OH) 12 (SO4) 4: 1131
PM of PB3O4: 685.6
PM of H3ZnSiO5: 176.5
PM of Zn2SiO4: 222.9
PM of Pb2S3: 510.7
PM of Zn3 (PO4) 2: 386.2
PA of Pb: 207.2
PA of Zn: 65.4
PA of Fe: 55.9

1 [ton] = 10 ^ 6 [g]

 

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