The correct option is D none of these
The unbalanced redox equation is as follows:
Cu+NO−3→Cu2++NO2
All atoms other than H and O are balanced.
The oxidation number of Cu changes from 0 to 2. The change in the oxidation number of Cu is 2.
The oxidation number of N changes from 5 to 4. The change in the oxidation number of N is 1.
The increase in the oxidation number is balanced with decrease in the oxidation number by multiplying NO−3 and NO2 with 2..
Cu+2NO−3→Cu2++2NO2
O atoms are balanced by adding 2 water molecule on RHS.
Cu+2NO−3→Cu2++2NO2+2H2O
To balance H atoms, add 4 H+ on LHS.
Cu+2NO−3+4H+→Cu2++2NO2+2H2O
Since the reaction occurs in basic medium, add 4 hydroxide ions on both sides of the equation.
Cu+2NO−3+4H++4OH−→Cu2++2NO2+2H2O+4OH−
On LHS, 4 H+ ions combine with 4 OH− ions to form 4 water molecules out of which 2 water molecules cancel out with 2 water molecules on RHS.
Cu+2NO−3+2H2O→Cu2++2NO2+4OH−
This is the balanced chemical equation.