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Question

XKMnO4+YK2C2O4+ZH2SO4AMn04+BC02+6K2SO4+SH2O
X,Y,Z,A,B and S are stoichiometric coefficients.
Here X,Y,Z, A and B are respectively

A
2, 5, 8, 2, 10
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B
2, 4, 9, 4, 10
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C
5, 9, 12, 4, 10
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D
None of these
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Solution

The correct option is A 2, 5, 8, 2, 10
Let’s go step by step here.
Ion electron method: First write the given equation in ionic form having ions with central atom (which has undergone a change in oxidation state).
MnO4+C2O24Mn––2++CO2
Note that O and H atoms attached to the central atom (shown in underlined) have to be retained.
Now, write the oxidation and reduction half reaction and balance them as shown:
Reduction:
MnO4+C2O24Mn––2+
a. First, make sure that the element undergone the change in oxidation state is balanced.
b. Balance O atoms by adding 4H2O on RHS.
c. Now, RHS has excess of 8H atoms. Add 8H+ on LHS. Note, the medium is acidic due to the presence of H2SO4.
d. Now O and H are balanced. Balance the charge on both sides.
On LHS: Charge is 1×(1)+8×(+1)=+7
On RHS: Charge is 1×(+2)+4×(0)=+2
Add 5e in LHS (Note: each e is equivalent to a charge of -1)
MnO4+8H++5eMn2++4H2OEq.(i)
Oxidation:
C2O24CO2
Following the same procedure as above, we have:
a. Balance C atoms: C2O242CO2
b. Balance O atoms: Already balanced
c. Balance H atoms: No H atom
d. C2O242CO2+2eEq(ii)
e. Multiply Eq. (i) by 2 and Eq. (ii) by 5 to balance the electrons transfer and add to get
2MnO4+5C2O24+16H+2Mn2++10CO2+8H2O
f. Now add other ions to both sides
L.H.S(12k+)R.H.S.(12K+) 8SO248SO24
g. 2K++2MnO4+10K++5C2O24+8SO24+8SO24+16H+ 2Mn2++2SO24+10CO2+12K++6SO24+8H2O2KMnO4+5K2C2O4+8H2SO4 2MnSO4+10CO2+6K2SO4+8H2O

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