In acidic medium, KMnO4 acts as an oxidising agent and gets reduced to Mn2+. The n-factor for KMnO4 is 5.
The n-factors for the given reducing agents are calculated based on the total number of moles of electrons lost per mole of the compound:
For FeC2O4:
Fe2+→Fe3++e−
C2O42−→2CO2+2e−
Total electrons lost =3, so n-factor =3.
Equivalents =1×3=3.
For Fe2(C2O4)3:
Fe3+ is not oxidised.
3C2O42−→6CO2+6e−
Total electrons lost =6, so n-factor =6.
Equivalents =1×6=6.
For FeSO4:
Fe2+→Fe3++e−
SO42− is not oxidised.
Total electrons lost =1, so n-factor =1.
Equivalents =1×1=1.
For Fe2(SO4)3:
Neither Fe3+ nor SO42− can be oxidised further.
n-factor =0.
Equivalents =0.
Total equivalents of the reducing mixture =3+6+1+0=10.
Let the number of moles of KMnO4 required be x.
Equivalents of KMnO4=x×5.
Equating the equivalents of the oxidising and reducing agents:
5x=10
x=2
Answer: 2