In the reaction
2KMnO4+3H2SO4⟶K2SO4+2MnSO4+3H2O+5(O)
Equivalent weight of KMnO4 is (when molecular weight of KMnO4=158)
KMnO4 is a strong oxidising agent . In acidic medium, itself reduced to Mn2+ while in basic or neutral medium it reduced to MnO2, logic behind this is very simple , as acidic medium is also called as electron deficient medium . So there is no support from medium to reaction that why it compeleted its all deficiency of electron from other source (substrate) . While in basic medium (electron rich medium ) there is good support from the medium to reaction thatswhy it take only 3e from other source remaning electron provided by solution.
In acidic medium
MnO4- + 8H+ + 5e = Mn2+ + 4H2O
from this reaction we can deduce that Mn7+ reduced to Mn2+ so “ n factor” for this reaction is 5
Eq.wt = molecular weight / n factor
So for KMnO4 molecular weight is 158.g
So Eq.wt = 158/5 = 31.6 g per equivalent.