Balance the equation by oxidation number method when potassium permanganate reacts with ferrous sulphate in presence of sulphuric acid to form potassium sulphate, ferric sulphate, manganese sulphate & water.
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Your first half reaction, for the reduction, is correct:
10e−+10H++2KMnO4+3H2SO4⟶K2SO4+2MnSO4+8H2O(1)
For the second half reaction, the oxidation, start by balancing iron:
FeSO42FeSO4⟶Fe2(SO4)3⟶Fe2(SO4)3(2a)(2b)
Add H2SO4 on the left so you can balance sulfur:
2FeSO4H2SO4+2FeSO4⟶Fe2(SO4)3⟶Fe2(SO4)3(2c)(2d)
Now balance the protons and electrons:
H2SO4+2FeSO4H2SO4+2FeSO4⟶Fe2(SO4)3⟶Fe2(SO4)3+2H++2e−(2d)(2e)
Now add (1) and five times (2e) so that the electrons are equal on every side and coincidentally the protons also balance:
10e−+10H++2KMnO4+3H2SO45H2SO4+10FeSO4⟶K2SO4+2MnSO4+8H2O⟶5Fe2(SO4)3+10H++10e−(1)(5×2e)
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