Calculate the mass of the coal sample in kg containing 0.05% mass of iron pyrite fes2 that can produced 44.8L of so2 at 1atmosphere and 273k with 40% reaction yield

Dear Student,
The reaction will be
FeS2+52O2FeO+2SO2
44.8L of SO2 is produced at 1 atm and 273K
No. of moles of SO2 = 44.822.4=2 mol
But the reaction yield is 40%
2 mol of SO2 is produced if the yield is 100% from 1 mol FeS2
2 mol of SO2 is produced if the yield is 40% from 1 x 10040=52mol FeS2
Mass of FeS2 = 52x120 =300g [Molar mass of FeS2=120 g/mol]
The sample of coal contains 0.05% FeS2 by mass
300 g FeS2 is present in 300 x 1000.05=600000 g = 600kg
Mass of coal = 600kg

Regards

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