1.

Find the amound of iron pyrites (FeS_2) which is sufficient to produce enough SO_2 on roasting (heating in excess of O_2) such that is (SO_2) completely decolourise a 1 L solution of KMnO_4 containing 15.8 g L^(-1) of it. The equation are FeS_2+O_2toFe_2O_3+SO_2 KMnO_4+SO_2toMnSO_4+H_2SO_4+KHSO_4

Answer»

SOLUTION :First calculate the amount of `SO_2` REQUIRED to decolourise `15.8gL^(-1)` of `KMnO_4` solution. For this, balance the following chemical reaction.
The balanced equation is as:
`KMnO_4+SO_2toMnSO_4+H_2SO_4+KHSO_4`
`2KMnO_4+5SO_2+2H_2Oto2MnSO_4+H_2SO_4+2KHSO_4`
`2" MOL of "KMnO_4-=5 " mol of "SO_2`
Calculate moles in `15.8g L^(-1) of KMnO_4`
Using strength `(GL^(-1))=(M)/(Mw)`
`implies1.0L of KMnO_4` contains 0.1 mol
Hence, moles of `SO_4` required `=(5)/(2)(0.1)=0.25`
To calculate the amount of pyrites, we have to balance the following reaction.
`FeS_2+O_2toFe_2O_3+SO_2`
Balancing the reaction, we have
`4FeS_2+11O_2to2Fe_2O_3+8SO_2`
From stoichiometry of roasting, we have:
`8 " mol of "SO_2-=4" mol of "FeS_2`
`0.25 " mol of "SO_2-=(4)/(8)(0.25)" mol of "FeS_2`
`=0.125 " mol of "FeS_2`
Mass of `FeS_2=0.125xx120=15gL^(-1)`


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